CHAOS2010 Mayorov

Edi t

Editor

Editor

Christos H. Skiadas

June 1 - 4, 2010

Chania Crete Greece

ii

MAICh

Prefecture of Chania

Swets

iii

Introduction

Chaotic Modeling and Simulation International Conference

Chania, Crete (Greece) June 1 - 4, 2010

It is our pleasure to welcome the guests, participants and contributors to the 3nd International Conference (CHAOS2010) on Chaotic Modeling, Simulation and Applications. The study of nonlinear systems and dynamics has emerged as a major area of interdisciplinary research and found very interesting applications. This conference is intended to provide a widely selected forum among Scientists and Engineers to exchange ideas, methods, and techniques in the field of Nonlinear Dynamics, Chaos, Fractals and their applications in General Science and in Engineering Sciences.

The principal aim of CHAOS2010 International Conference is to expand the development of the theories of the applied nonlinear field, the methods and the empirical data and computer techniques, and the best theoretical achievements of chaotic theory as well. CHAOS2010 Conference provides a forum for bringing the various groups working in the area of Nonlinear Systems and Dynamics, Chaotic theory and Application for exchanging views and reporting research findings.

We thank all the contributors to the success of this conference and especially the authors of this Book of Abstracts of CHAOS 2010.

Chania, May 2010

Christos H. SkiadasConference Chair

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Honorary Committee

David Ruelle Academie des Sciences de ParisHonorary Professor at the Institut des Hautes Etudes Scientifiques of Bures-sur-Yvette, FranceLeon O. ChuaEECS Department, University of California, Berkeley, USAEditor of the International Journal of Bifurcation and ChaosJi-Huan HeDonghua University, Shanghai, ChinaEditor of Int. Journal of Nonlinear Sciences and Numerical SimulationGannady A. LeonovDean of Mathematics and Mechanics Faculty, Saint-Petersburg State University, RussiaMember (corresponding) of Russian Academy of ScienceFerdinand VerhulstMathematics Faculty, Utrecht, The Netherlands

International Scientific CommitteeC. H. Skiadas (Technical University of Crete, Chania, Greece),

Chair

H. Adeli (The Ohio State University, USA)

J.-O. Aidanpaa (Division of Solid Mechanics, Lulea University of Technology, Sweden)

N. Akhmediev ( Australian National University, Australia )

M. Amabili (McGill University, Montreal, Canada)

J. Awrejcewicz (Technical University of Lodz, Poland)

J. M. Balthazar (UNESP-Rio Claro, State University of Sao Paulo, Brasil)

S. Bishop (University College London, UK)

T. Bountis (University of Patras, Greece)

Y. S. Boutalis (Democritus University of Thrace, Greece)

C. Chandre (Centre de Physique Theorique, Marseille, France)

M. Christodoulou (Technical University of Crete, Chania, Crete, Greece)

P. Commendatore (Universit? di Napoli 'Federico II', Italy)

D. Dhar (Tata Institute of Fundamental Research, India)

J. Dimotikalis (Technological Educational Institute, Crete, Greece)

B. Epureanu (University of Michigan, Ann Arbor, MI, USA)

G. Fagiolo (Sant'Anna School of Advanced Studies, Pisa, Italy)

V. Grigoras (University of Iasi, Romania)

K. Hagan, University of Limerick, Ireland

L. Hong (Xi'an Jiaotong University, Xi'an, Shaanxi, China)

G. Hunt (Centre for Nonlinear Mechanics, University of Bath, Bath, UK)

T. Kapitaniak (Technical University of Lodz, Lodz, Poland)

G. P. Kapoor (Indian Institute of Technology Kanpur, Kanpur, India)

A. Katsirikou, (University of Piraeus, Library) Conference Secretary

A. Kolesnikov (Southern Federal University, Russia)

J. Kretz (University of Music and Performing Arts, Vienna, Austria)

V. Krysko (Dept. of Math. and Modeling, Saratov State Technical University, Russia)

W. Li (Northwestern Polytechnical University, China)

B. L. Lan (School of Engineering, Monash University, Selangor, Malaysia)

V J Law (Dublin City University, Glasnevin, Dublin, Ireland)

V. Lucarini (University of Bologna, Italy)

J. A. T. Machado (ISEP-Institute of Engineering of Porto, Porto, Portugal)

W. M. Macek (Cardinal Stefan Wyszynski University, Warsaw, Poland)

P. Mahanti (University of New Brunswick, Saint John, Canada)

G. M. Mahmoud (Assiut University, Assiut, Egypt)

P. Manneville (Laboratoire d'Hydrodynamique, Ecole Polytechnique, France)

A. S. Mikhailov (Fritz Haber Institute of Max Planck Society, Berlin, Germany)

E. R. Miranda (University of Plymouth, UK)

M. S. M. Noorani (University Kebangsaan Malaysia)

G. V. Orman (Transilvania University of Brasov, Romania)

S. Panchev (Bulgarian Academy of Sciences, Bulgaria)

G. Pedrizzetti (University of Trieste, Trieste, Italy)

F. Pellicano (Universita di Modena e Reggio Emilia, Italy)

S. V. Prants (Pacific Oceanological Institute of RAS, Vladivostok, Russia)

A.G. Ramm (Kansas State University, Kansas, USA)

G. Rega (University of Rome "La Sapienza", Italy)

H. Skiadas (Hanover College, Hanover, USA)

V. Snasel (VSB-Technical University of Ostrava, Czech)

D. Sotiropoulos (Technical University of Crete, Chania, Crete, Greece)

B. Spagnolo (University of Palermo, Italy)

P. D. Spanos (Rice University, Houston, TX, USA)

J. C. Sprott (University of Wisconsin, Madison, WI, USA)

S. Thurner (Medical University of Vienna, Austria)

D. Trigiante (Universit? di Firenze, Firenze, Italy)

G. Unal (Yeditepe University, Istanbul, Turkey)

A. Valyaev (Nuclear Safety Institute of RAS, Russia)

A. Vakakis (National Technical University of Athens, Greece)

J. P. van der Weele (University of Patras, Greece)

M. Wiercigroch (University of Aberdeen, Aberdeen, Scotland, UK)

M. V. Zakrzhevsky (Institute of Mechanics, Riga Technical University, Latvia)

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Keynote Talks

Gennady LeonovMember (corresponding) of Russian Academy of ScienceDean of Mathematics and Mechanics FacultySaint-Petersburg State University, RussiaAttractors, limit cycles and homoclinic orbits of low dimensional quadratic systems

Sergey V. PrantsLaboratory of Nonlinear Dynamical SystemsPacific Oceanological Institute of the Russian Academy of SciencesVladivostok, RussiaDe Broglie-wave chaos

Alexander G. RammMathematics Department, Kansas State UniversityManhattan, KS 66506-2602, USAhttp://www.math.ksu.edu/~rammScattering by many small inhomogeneities

Valentin V. SokolovBudker Institute of Nuclear Physics and Novosibirsk Technical UniversityNovosibirsk, RussiaClassical Versus Quantum Dynamical Chaos: Sensitivity to External Perturbations, Stability and Reversibility

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Contents

Authors Title Page

Mina B. Abd-el-Malek,Hossam S. Hassan

Solution of Burgers’ equation via Lie-group analysis 1

Jan-Olov Aidanpää and Göran Lindkvist

Dynamics of a Rubbing Jeffcott Rotor with Three Blades

1

M. Amabili, K. Karagiozis, S. Farhadi, K. Khorshidi

Nonlinear vibration of plates with different boundary conditions using higher order theory

1

Ivan L.Andronov Chaos, Quasi-Periodicity and Multi-Periodicity in Stars: Mathematical Modeling, Physical Theory vs Astronomical Observations

2

Dorota Aniszewska, Marek Rybaczuk

Exploring process of fibre breaking in NOL samples of composite during quasi-static process of fracture

2

Raina Arora, Nita Parekh Controlling Dynamical Networks 3

Artemyev A.V., Neishtadt A.I., Zelenyi L.M

The peculiarities of the motion of charged particle in space plasma configuration

4

George Atsalakis and Christos H. Skiadas

Forecasting the diffusion of technology 4

Minos Axenides and Emmanouel Floratos

Strange Attractors in Dissipative Nambu Mechanics 4

L.N. Bagautdinova, F.M. Gaisin, E.E. Son

The turbulent phase of the multichannel discharge burning with the electrolytic cathode

5

Zygmunt Bak Modulated fractals as the projections of the (+)-D

fractals

5

Jayanta K. Bhattacharjee, Sagar Chakraborty and Amartya Sarkar

A Methodology for Classifying Periodic Orbits 6

Barbashin M. U. Ethnicity and Ethnic Processes: The Chaos Theory 6

R.Sh.Basyrov, Al.F.Gaysin Turbulent mixing in Gas Vapor Discharge Plasma with jet electrolyte cathode

7

Biri Venceslas, GiroudAnthony

Using chaotic maps for heterogeneous fog rendering in computer graphics

7

Katarzyna Bizon, Gaetano Continillo and Marek Berezowski

Model reduction by empirical spectral methods via sampling of chaotic orbits

7

A. Bogomolov, S. Pavluchenko, A. Toporensky

Escaping rate statistics for two chaotic systems in astrophysics

8

Yu.L.Bolotin, V.A.Cherkaskiy, G.I.Ivashkevich

Over-barrier decay of the mixed state in multi-well potentials

8

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Volodymyr Bondarenko and Iryna Kovalevska

Record keeping of systems of random engineering characteristics of support during calculation of under border stresses of the rocks

9

D. Borgogno, D. Grasso, F. Pegoraro, T.J. Schep

Lagrangian coherent structures in three-dimensional collisionless magnetic reconnection events

9

Wojciech Borkowski & Andrzej Nowak

Can artificial neural networks mimic arbitrary dynamics?

9

Vitalii V. Breus Chaos in Cataclysmic Variables: Spin Pulses in Intermediate Polars

10

O. Cakar, O. O. Aybar, A. S. Hacinliyan, I. Kusbeyzi

Chaoticity in the Time Evolution of Foreign Currency Exchange Rates in Turkey

10

Acilina Caneco, Clara Grácio and J. Leonel Rocha

Symbolic dynamics and chaotic synchronization 12

Alberto Carrassi and Stephane Vannitsem

Accounting for model error in data assimilation 12

N. D. Chavda, V. Potbhare Transition form Poisson to GOE in Finite Interacting Boson System (using one- plus two-body random matrix ensembles with spin)

13

N. D. Chavda, V. Potbhare Average-fluctuation separation in Finite Interacting Boson System (using one- plus two-body random matrix ensembles with spin)

13

N.I. Chernobrovkina Legal chaos as the result of interaction of the institutional order poles

13

Chernous V.V. Social chaos in the process of regional institutional reforms in the South of Russia and the Caucasus

14

Lidia L.Chinarova, IvanL.Andronov

Chaos in Cataclysmic Variables: Outbursts in the UGSS Dwarf Nova Stars

14

Octaviana Datcu, Jean-Pierre Barbot, Adriana Vlad

New Enciphering Algorithm Based on Chaotic Generalized Hé non Map

14

Ezequiel Del Rio, Sergio Elaskar, Jose M Donoso and Luis Conde

Characteristic Relations and Reinjection Probability Densities of Type-II and II Intermittencies

15

Vijay Dhadke Comparative thermal Analysis of disc and drum brake Performance

15

Dick O.E. Multifractal and wavelet analysis of epileptic seizures 16

Yiannis Dimotikalis Application of Local Forecasting Methods to Greek Stock Exchange Data

17

D. Domanska Fuzzy weather forecast in forecasting pollution concentrations

17

N.N. Efimov, A.S. Oshchepkov, А.В. Ryzhkov

Dynamics of burning out of particles of the fuel dust in volume of the fire chamber of the copper

18

P. Oseloka Ezepue, O. Anwar Bé g & Alireza Heidari

Chaos, complexity theory, global financial crisis and the prospects for financial engineering research in (pre-emerging) financial markets: a work -in- progress

18

V.I. Filippenko Resolvents of linear operators, generated by 19

ix

generalized quasi-differential expression

Ruben Fossion, Emmanuel Landa, Victor Velazquez, Alfred U’Ren, Alejandro Frank

The dripping laser: quantum chaos in a phase transition in light

19

Mădălin Frunzete, Adrian Luca, Adriana Vlad

On the Statistical Independence in the Context of the Rössler Map

20

Kenta Fukushima, Vladimir Ryabov

Analysis of homoclinic bifurcation in Duffing oscillator under two-frequency excitation: Peculiarity of usingMelnikov method in combination with averaging technique

21

Gennady G. Galustov Creativity of information systems from the standpoints of synergetics

21

Al.F.Gaysin, Az.F.Gaysin, F.M.Gaysin

Gas-vapour discharge between jet electrolyte cathode and solid anode at low pressures

22

Y. А. Gelozhe, A. V. Semenov

Processes ordering in nonlinear automatic phase control system

22

Αnastasia Georgaki and Cristos Tsolakis

Pre-fractal patterns in Iannis Xenakis’ algorithmic composition: a critical approach

22

G.I. Gerasimov Synergetic potential of developmental education concepts

23

Evgeniya Gerasimova, Oleg Naimark

Structural-scaling transitions and nonlinear chaotic dynamics of DNA ensembles

23

R. Gheisari Forced Chemical Confinement Fusion in Two Layers of Hydrogen Isotopes: Using A Difference Equations Approach

24

Gheisari R., Mohamadsalehi F.

Solution of Time-space Dependent Equations As Balance Transport Equations and Stability of The Numerical Method in Two Layers Reactor Design of Muon Catalyzed Fusion

24

N.M. Glazunov Arithmetic Modelling of Stochastic Dynamics 25

Victor Grigoras, Carmen Grigoras

Time Variant Chaos Encryption 25

Sergey G. Grishchenko, Nataliya N. Kisel

The Computer simulation for electromagnetic properties control of the metamaterial structures

26

Sergey G. Grishchenko, Nataliya N. Kisel’

Quasy-optic simulation of multilayer objects in the problems of the electromagnetism

26

Valerii I. Grytsay Investigation Chaotic Dynamic of Biochemical Process using Lyapunov indices

26

A.R. Guzhova, V.I. Kozlov, V.P. Statsenko, G.S. Firsova, Yu.V. Yanilkin

Comparison of different approaches to shock capturing turbulent flow simulations

27

Kerry L. Hagan Aesthetic Considerations in Algorithmic and Generative Composition

27

Alireza Heidari , O. Anwar Bé g & P. Oseloka Ezepue

AN ANALYTICAL AND NUMERICAL INVESTIGATION OF THE DISSIPATIVE CHAOS IN SEMICONDUCTOR SUPERLATTICES

28

x

Alexander E. Hramov, Alexey A. Koronovskii

Unstable periodic spatio-temporal states of spatial extended chaotic systems

28

A.E. Hramov, A.A. Koronovskii, M.K. Kurovskaya, O.I. Moskalenko

Comparison of the Characteristics of Eyelet Intermittency and Type-I intermittency with Noise

29

Mikhail B. Ignatyev The linguo-combinatorial simulation of complex chaotic systems

29

Gabriele Inglese Recovering a vector field with the aid of controlled noise

30

Adela Ionescu Computational standpoint of mixing flows- from turbulence to chaos

30

Mihai Iordache, Lucia Dumitriu, Jean-Marie Paillot, Iulia Dumitrescu

Analysis of Coupled Oscillators Applied to 1-D Antenna Arrays

31

Sajid Iqbal, Kashif Ali Khan, Shahid Iqbal

Understanding Chaos using Discrete-Time Map for Buck Converter

31

V. Jasaitis, F. Ivanauskas and R. Bakanas

Self-ordered front under aperiodically oscillating zero-mean ac force: front dynamics with time delays

31

N. Jevtic, P. Stine, J.S. Schweitzer

Identifying Time-Series Candidates for Efficient Nonlinear Projective Noise Reduction II

32

Audrius Jutas Basic deformation principles based on transformations of atomic systems of crystalline materials

32

Vladimir L. Kalashnikov Dissipative Solitons: Perturbations and Chaos Formation

33

Svetlana Karitskaya Luminescence of structures formed in aqueous alcohol solutions of anthraquinone

33

Marcin Karwinski Nature inspired language modelling for text analysis solutions

34

Rupak Kharel, Krishna Busawon, Z. Ghassemlooy

Modified Chaotic Shift Keying using Indirect Coupled Chaotic Synchronization for Secure Digital Communication

34

O.B. Khavroshkin, V.V. Tsyplakov

Nonlinearity of earth: astonishing diversity and prospects

34

O.B. Khavroshkin, V.V. Tsyplakov

Reducint of seismic vulnerability and short time earthquake prediction: Methods and instruments of nonlinear seismology

35

Khavroshkin O.B., Tsyplakov V. V.

Seismic lunar nonlinearity: peculiarities and Moon as astrophysic and cosmogonic detector

36

Boris Khots and Dmitriy Khots

Chaos problems in Observer’s Mathematics 37

Cha-kyum Kim and Jong Tae Lee

Hindcast of Storm Surge in the South Sea of Korea 37

Ivan Klevchuk Bifurcation of countable number of periodic solutions in singularly perturbed differential-difference equations

37

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R. Kobayashi and V.B. Ryabov

Statistical complexity of low-and high-dimensional dynamical systems II

38

Alexander A. Kolesnikov Space flying vehicles orbital motion control system synthesis: power invariants

38

Alexander A. Kolesnikov Synthesis method for new class of oscillators with inertial nonlinearity

39

Anatoly A. Kolesnikov Synergetics and scientific cognition 39

Alnatoly A. Kolesnikov Problem of synthesis of new natural laws: introduction in the system physics. Synergetics approach (plenary report)

39

Anatoly A. Kolesnikov, Victor A. Kobzev, Phuong Nguyen

The method of adaptive control for amphibian aircraft motion under conditions of external environment extreme action

40

Tatiana A. Kolesnikova Crisis control of risk society: synergetics conception 40

Anatoly Korets, Alexandr Krylov, Evgeny Mironov

Structural Heterogeneity of Detonation Diamond –Containing Material

41

Mustafa Kosem and N. Serap Sengor

An Energy Based Investigation of Chua's Circuit 41

Korniy Kostkin Movement of the linear configuration of the five vortices

41

V.I.Kozlov, A.R.Guzhova, Yu.V.Yanilkin

2D version of modified Nikiforov model 42

Svetlana A. Krasnova, Victor A. Utkin and Anton V. Utkin

Method of State Space Expansion in Non-interacting control

42

Olga D. Kreerenko Adaptive control of the nonlinear dynamic object at the stage of breaking under indefinite contact surface conditions

43

Johannes Kretz Freedom and Necessity in Computer Aided Composition: A Thinking Framework and its Application

43

Alexander M. Krot A nonlinear Schrödinger equation in the statistical theory of spheroidal bodies

44

V.L. Kulinskii, O.O. Chepizhko

On the relation between Vicsek and Kuramoto models of spontaneous synchronization

45

Victor M. Kureychik Electronic computing equipment blocks placement based on synergetics principles

45

Victor M. Kureychik, Veronika I. Pisarenko

Synergetic ideas in innovative education 45

Semen A. Kurkin, Alexander E. Hramov, Alexey A. Koronovskii, Igor I. Magda

Chaotic Oscillations Control in Microwave Virtual Cathode Oscillators

46

I. Kusbeyzi, O. O. Aybar, A. S. Hacinliyan

A Predator - Prey Model with the Nonlinear Self Interaction Coupling xky

47

Andrew A. Kuzmenko Problem of electrical power system nonlinear control synthesis: synergetics approach

48

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Andrew A. Kuzmenko, Vitaly V. Ozerov

Synergetics approach to turbine nonlinear adaptive regulator design

49

A. P. Kuznetsov, N. V. Stankevich

The stabilization of chaos in the Rössler system by pulsed and harmonic signals

49

Kuznetsova D., Sibgatullin I. About transitional processes in penetrative convection 49

Yurij Kyzyurov Dissipation Rate of Kinetic Energy of Turbulence Inferred for the Upper Atmosphere from Sporadic-E Parameters

50

George I. Lambrou, Aristotelis Chatziioannou, Spiros Vlahopoulos, Maria Moschovi and George P. Chrousos

Evidence for Deterministic Chaos in Aperiodic Oscillations of Acute Lymphoblastic Leukemia Cells in Long-Term Culture

51

Boon Leong Lan Testing the different chaotic trajectories predicted by special-relativistic and Newtonian mechanics for a slow-moving dynamical system

51

E. Landa, R. Fossion,1 P. Stransky, I. Morales, V. Velazquez, J.C. Lopez Vieyra and A. Frank

Scale Invariance in Chaotic Time Series: Classical and Quantum Examples

52

Rosário Laureano, Clara Grácio, Diana A. Mendes

Research of chaotic synchronization phenomena on the field of visual processes in ophthalmology

52

Rosário Laureano, Diana A. Mendes and Manuel A. Martins Ferreira

Asymptotic and practical synchronization of one-dimensional chaotic quadratic maps using a non-symmetric coupling

52

V J Law, C E Nwankire, D P Dowling and S Daniels

Acoustic Emission within an Atmospheric Helium Corona Discharge Jet

53

Michał Ławniczak, SzymonBauch, Oleh Hul, and LeszekSirko

Experimental investigation of the cross-correlation function and the enhancement factor for graphs with and without time reversal symmetry

54

I.G. Lebo, A.I. Lebo The model of energy transport in turbulent under critical laser plasma of porous target

54

Gennady A. Leonov Attractors, limit cycles and homoclinic orbits of low dimensional quadratic systems

55

G. Litak, R. Rusinek Dynamics of Steel Turning by Recurrence Plots 55

N.A.Loginov, Az.F.Gaysin, F.M.Gaysin, E.E.Son , Al.F.Gaysin

Multichannel discharges between turbulence current and porous material

56

Anatoliy V. Lubskiy Non-classical model of historical research and synergetic ideas

56

Valerio Lucarini, Klaus Fraedrich

Symmetry breaking, mixing, instability, and low frequency variability in a minimal Lorenz-like system

56

Wieslaw M. Macek Multifractal Turbulence in the Solar System Plasma 57

Vlad Maftei, Victor Grigoras Sensitivity Analysis of Chaos Synchronization in 58

xiii

Colpitts Oscillators

Rakesh Mahla, Manish Shrimali, Anup Poonia, Chirag Jain

Random network of coupled chaotic maps for economic dynamics

58

Andrew A. Kuzmenko, Vitaly V. Ozerov

Synergetics approach to turbine nonlinear adaptive regulator design

59

M.B. Marinov The constructive potential of social chaos in modern society: regional peculiarity

59

Amirhossein Davaie Markazi, Ali Abbasi

Dynamical Analysis of AFM Micro-Cantilever and Control of Its Chaotic Behaviour via AFSMC Algorithm

59

George Matalliotakis,Christos H. Skiadas , Vardoulaki Maria

Dynamic Modelling and Comparative Analysis for Life Table Data of non-European Countries

60

Radu Matei, Carmen Grigoras

Nonlinear Dynamics in CNN’s with Second Order Cells

60

Massimo Materassi Mutual Information and Dynamics 61

Oleg Yu. Mayorov, Vladmir N. Fenchenko

Reliability of bioelectric activity (EEG, ECG and HRV) researches of the deterministic chaos by the nonlinear analysis methods

61

E.E. Meshkov Shock tube investigations of the instability of a two-gas interface accelerated by a shock wave

62

Larisa A. Minasyan Concept of “self organization” in the light of cosmological problems

62

Eduardo Miranda and Jaime Serquera

Algorithmic Sound Composition using Coupled Cellular Automata

63

Olga I. Moskalenko, Alexey A. Koronovskii, Alexander E. Hramov, Svetlana A. Shurygina

Analysis of generalized synchronization in mutually coupled dynamical systems

63

Banibrata Mukhopadhyay Search for chaos in black holes and neutron stars 65

Iryna V. Musatenko Investigation Chaotic Dynamics of Nonlinear System 65

Alexey S. Mushenko Nonlinear adaptive control for aircraft flight under chaotic wind disturbances

65

T.B.Mustafin, Al.F.Gaysin, F.M.Gaysin

Turbulent mixing in gas-vapor discharge plasma with jet electrolyte anode

66

Anis Naanaa, Zouhair BenJemaa and Safya Belghith

Chaotic vs Classical Codes for Synchronous TH-UWB Multiple-Access System in IEEE 802.15.4a Multi-path Channel

66

Vera I. Nemchina The crisis communication in the space of social chaos 66

Umberto Neri and Beatrice Venturi

ON BIFURCATIONS TO LEADING TO CHAOS IN IS-LM MODEL

67

N.Mohammad Nouri, Alireza Mofidi, Seyyed Mohammad

Large Eddy Simulation of Turbulent Drag Reduction over Hydrophobic Surfaces

67

xiv

Amin Kariminia

N. Mohammad Nouri, Seyyed Mohammad Amin Kariminia, Alireza Mofidi

Investigation of Performance of Different Sub-grid Scale Models in Improvement of 3D Large Eddy Simulation of Turbulent Near Wall Boundary Layer

67

Tomasz Nowicki Asymptotic behavior and limit sets of piecewise izometric transformations derived from an Error Diffusion algorithm

68

Ryo Onishi, Yuya Baba and Keiko Takahashi

Efficient Large-Scale Forcing in Finite-Difference Simulations of Steady Isotropic Turbulence

68

Gabriel V. Orman On a Problem of Approximation of Markov Chains by a Solution of a Stochastic Differential Equation

69

Jiaqing Pan An ill-posed problem of determining nonlinearity in diffusion process

69

U. Paniveni, V.Krishan, Jagdev Singh , R.Srikanth

Supergranular Activity Dependence 69

Leonidas Pantelidis The complete solution for the classical four-spin Heisenberg ring

70

Supriyo Paul, Sandeep Reddy, Pankaj Wahi and Mahendra K. Verma

A bifurcation scenario for large-P Rayleigh-Benard Convection

70

Ivan M. Pershin Data processing distributed systems 70

Andrey N. Popov Synergetic Synthesis of Energy Saving Control Systems for Electromechanical Processes

71

Eleri A. Pound Chaos as Compositional Order 71

G.P. Pavlos, A.C. Iliopoulos, L.P. Karakatsanis, V.G. Tsoutsouras, E.G. Pavlos

Complexity Theory: from Microscopic to Macroscopic level, Concepts and Applications

72

Vinicio Pelino, Filippo Maimone

Energy cycle for the Lorenz-63 attractor 72

Dinis D. Pestana, J. Leonel Rocha and Sandra M. Aleixo

Regular variation, Paretian distributions, and the interplay of light and heavy tails in the fractality of asymptotic models

73

R. Petritsch, S.A. Pietsch Assessing ergodic properties of ecological time series 74

S.A. Pietsch, R. Petritsch The Ergodic View of Ecosystem Behaviour 74

Dmitry Pikulin Tools for Investigation of Dynamics of DC-DC Converters within Matlab/Simulink

74

S.V. Prants De Broglie-wave chaos 75

E.P. Prokopev Synergetic approaches to problems of evolution of properties of materials and nanomaterials of the basis of silicon

75

M.V. Ragulskaya , V.V. Pipin The chaos and order in human ECG under the influence of space weather and other external factors

76

Alexander G. Ramm Scattering by many small inhomogeneities and applications

77

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J. Leonel Rocha, Sandra M. Aleixo and Dinis D. Pestana

Beta(p,q)-Cantor Sets — Determinism and Randomness

77

Paola Rodriguez Imazio and Pablo Mininni

Cancellation exponents in helical and non-helical flows

78

Vladimir B. Ryabov Predicting chaos with second method of Lyapunov 78

Zaynab Salloum Existence results for flows of slightly compressible viscoelastic fluid in a singular bounded domain

79

H.Samadzadeh, B. Abdi Simulation and FEM Analysis of Batch Sugar Centrifuge Shaft

79

A.M.Selvam Universal Inverse Power law distribution for Fractal Fluctuations in Dynamical Systems: Applications for Predictability of Inter - annual Variability of Indian Region Rainfall

80

Babak Shokri, Leila Rajaei,Sedighe Mirabotalebi

Transition of electromagnetic wave through a warm overdense plasma layer

80

A.Yu. Shvets, V.A. Sirenko Variety of chaotic behaviour of the deterministic nonideal hydrodynamic systems

81

Christos H. Skiadas A Model of Conflicting Populations for the study of Stock Markets

81

Christos H. Skiadas and Charilaos Skiadas

Chaotic Modeling: Lessons and developments during the last decades

82

Sunantha Sodsee, Maytiyanin Komkhao, Zhong Li

Leader-Following Discrete-Time Consensus Protocol on a Buyer-Seller Network

82

Valentin V. Sokolov, Oleg V. Zhirov and Yaroslav A. Kharkov

Classical Versus Quantum Dynamical Chaos: Sensitivity to External Perturbations, Stability and Reversibility

82

Anastasios D. Sotiropoulos Composing Chaotic Music from the Letter m 83

Dimitrios A. Sotiropoulos On Logistic-Like Iterative Maps 84

Dimitrios A. Sotiropoulos On the Timbre of Algorithmic Chaotic Sounds 85

Vaggelis D. Sotiropoulos The Rainbow Effect on Composing Chaotic Algorithmic Music

85

Banlue Srisuchinwong and Buncha Munmuangsaen

A Highly Chaotic Attractor for a Dual-Channel Single-Attractor, Private Communication System

86

Banlue Srisuchinwong, Teerachot Siriburanon, and Teera Nontapradit

Compound Structures of Six New Chaotic Attractors in a Modified Only-Single-Coefficient Jerk Model Based on Sinh-1 Nonlinearity

86

K. Stasiewicz, M. Strumik, B. Thidè

Observations and modeling of chaos and solitons in quasi-parallel bow shocks

86

Pavel Stránský, Michal Macek, Pavel Cejnar, Alejandro Frank, Ruben Fossion, Emmanuel Landa

Manifestation of chaos in collective models of nuclei 87

Tadeusz (Ted) Szuba Importance of the Chaos for computational processes of Collective Intelligence in social structures

87

xvi

Reza Taghavi Zenouz and Farzin Ghanadi

Experimental and Numerical Investigations of Flow Incidence Effects on Surface Pressure Distributions of Axial Compressor Blades

88

Yuri V. Talagaev and Andrey F. Tarakanov

Superstability and Optimal Matrix Correction of the Class of Chaotic Systems

88

Sedat Tardu Imperfect phase syncronization of the wall turbulence: Experiments and direct numerical sumulations

89

Siavash Tayefi and Abdolreza Ohadi

Investigating the effect of structural properties on bifurcation and chaotic behavior of passive walking biped with an upper body

89

Horia-Nicolai Teodorescu and Victor Cojocaru

Complex Signal Generators based on Capacitors and on Piezoelectric Loads

90

S.F. Timashev, Yu.S. Polyakov, S.G. Lakeev

Anomal diffusion” in the dynamics of complex processes

90

V.A. Timofeeva, A.B. Solovieva, Misurkin P.I., S.F. Timashev

Parameterization of atomic force microscopy chaotic images

91

Dmitry V. Timoshenko Problem of search of the first integrals in nonlinear dynamics tasks

91

Polina P. Tkachova From chaos to self-organization: structure and system of the poetic literary text

92

Pichitra Uangpairoj and Kontorn Chamniprasart

Numerical Simulation and Wall Shear Stress Analysis of Pulsating Flow in the Channel of Plate Heat Exchanger

92

David Urminsky Shadowing unstable orbits of the 3-body problem 93

Maksim A. Vaskov Chaos in corporate governance systems: typology, characteristics and overcoming ways

93

Venger, E. F., Lokshyn, B. and Maslov V.P.

Glue composition containing micro- and nanosized fillers

93

Anna Vereshchagina The crisis of traditional family and the alternatives of the family institution development in different regions of Russia: theoretical analysis in the network of synergetic paradigm

93

Gennady E. Veselov Nonlinear complex system’s hierarchical control strategies synthesis tasks

94

Gennady E. Veselov Nonlinear complex system’s hierarchical control strategies synthesis tasks

94

Natalia A. Virnina Chaos in Cataclysmic Variables: Superhumps in the UGSU Dwarf Nova Stars

94

Yuri G. Volkov The ideas of synergy and Russian identity 95

Vyklyuk Yaroslav Mathematical simulation of urbanization processes based on analogies with physical fractals

95

Pankaj Wahi, Pankaj K. Mishra, Pinaki Pal, Supriyo Paul, Mahendra K. Verma.

Patterns and Chaos in low- and zero-Prandtl number convection

95

xvii

C. L. Xaplanteris and E. Filippaki

Drift waves’ synchronization by using an externalsignal. The stabilization of a chaotic plasma turbulence

96

Vilor L. Zakovorotny The Interrelation Between Irreversibility and Evolution in the Dynamics of Electrical-Mechanical Systems in the Process of Friction and Cutting-Processing

96

G. Žibret & T. Verbovšek Chaos game technique as a tool for the analysis of natural geomorphological features

96

Author Index 97-

3rd Chaotic Modeling and Simulation International Conference, 1-4 June 2010, Chania Crete Greece

61

Mutual Information and Dynamics

Massimo Materassi1, Giuseppe Consolini2 and Nathan Smith3

1Istituto dei Sistemi Complessi ISC-CNR, via Madonna del Piano 10, 50019, Sesto Fiorentino (Italy); [email protected]

2INAF- Istituto di Fisica dello Spazio Interplanetario, via del Fosso del Cavaliere, 100, Roma (Italy); [email protected]

3Department of Electronic and Electrical Engineering, University of Bath, BA2 7AY, [email protected]

In studying the dynamics resulting from the interaction of two or more systems with stochastic elements, the use of information theory quantities, as the mutual information or the transfer entropy, has been growing in importance in the last decade. Those quantities are naturally de.ned for discrete-time systems, while must be generalized to continuous evolutions with some care. The goal of using the Mutual Information Analysis (MIA) and the Transfer Entropy Analysis (TEA) in physics of complex interactions is to de.ne the best mathematical form of a dynamical system mimicking the evolution of two unknown physical processes X and Y, of which one only knows that they do interact, and measures as proxies the time series x (t) and y (t) respectively.Here we propose a discussion of MIA and TEA, in which the role of non-linearity and memory properties of the dynamics is stressed: after a brief review of their de.nition, and of the problems arising in applying them to continuous processes (e.g. the binning problem), the more fundamental matter of unbiasing MIA and TEA from the potentially different degree of stochasticity in the processes X and Y is faced. In order to do this, some new quantities are introduced, which are the central result of this paper. Their application to some controversial natural and numerical cases is then showed.

Reliability of bioelectric activity (EEG, ECG and HRV) researches of the deterministic chaos by the nonlinear analysis methods

Oleg Yu. Mayorov1,2,3, Vladmir N. Fenchenko 1,3,4

1Institute of Medical informatics and Telemedicine, Kharkiv2Kharkiv Medical academy of postgraduate educations, Ministry of Health of Ukraine, Kharkiv

3Institute of Children and adolescents health protection, АМSc of Ukraine, Kharkiv4Institute of Low temperatures NАSC of Ukraine, Kharkiv

Email: [email protected]

There has been proposed a new approach to the process of investigation of bioelectric activity in the human and animal brain, basing on the use of multidimensional spectral analysis methods to detect cerebral hemisphere and subcortical structure regions involved temporarily in a certain functional system (according to P.K. Anokhin) for the purpose of realization of behavior acts, and the subsequent analysis and modeling of their nonlinear-dynamic parameters from the position of the deterministic chaos theory.

The possible reasons of errors occurrence are analyzed at research deterministic chaos in bioelectric activity of man and animals organism (EEG, ECG, HRV, etc.) by methods of the nonlinear analysis. The complex approach is offered, allowing to increase accuracy and reliability of received results at a correct choice of stationary sites of a signal, a delay and scale of consideration, use of adequate parameters during attractor reconstruction (an estimation of dimension of reconstruction and embedding dimension), for estimating entropy process and maximal Lyapunov exponent. Corresponding software NeuroResearcher® is created and examples of «chaos parameters» calculations of typical EEG and ECG signals illustrated.

Keywords: bioelectric activity of organism, EEG, ECG, HRV analysis, multidimensional spectral analysis, deterministic chaos, attractor reconstruction, attractor dimensions, delay, entropy, maximal Lyapunov exponent.