Simplicity behind Complexity (eBook)

Contents 6
Editorial: Nonlinear Dynamics – From Invisible Particles and Fields to the Visible Universe 12
Lectures by Keynote Speakers 16
On the Fractal Dimension of the Visible Universe 18
Aspects of Fluctuations in Non-linear Biological Systems – Motion in Bistable Potentials and Selection Equations 26
Simple Mathematical Models for Complicated Biological Systems 62
Periodic Oscillations and Chaos in Cellular Regulatory Networks 70
Modeling the Complexity of Environmental and Ecological Systems 86
Collective Phenomena in Kidney Autoregulation 111
Multi-agent Systems for the Study of Social Complex Systems ( A Way to Represent Social Complexity – Examples and Validation) 147
Special Lectures – Flights and Signals 164
Stochastic Systems Driven by Lévy Noises: Relaxation and Equilibrium 166
Random Matrix Analysis of Human EEG Data 175
I. Chaotic Systems – Noise and Time Delay 184
Noise in Chaotic Systems – Application of Path Integrals 186
Numerical Investigation of Periodically Excited Valveless Pumping 193
Giant Improvement of Time-delayed Feedback Control by Spatio- temporal Filtering 202
On the Zipf's Law in Human Heartbeat Dynamics 212
The Analysis of the Survival Probability on an Isolated Stock Market 221
On Modelling Cardiac Electrical Activity – A Personal Overview 226
II. Maps and Networks 230
Euroattractor: A Brief Introduction to Iterated Function Systems 232
Computational and Statistical Methods for inter- Alu Distribution Analysis in Human Genomes 243
CNN as Locomotion Pattern Generator for a Worm- like Robot 253
Kohonen's Neural Network Adaptation for Selection of Useful Features 260
Modelling Non-linear Time Series Using Neural Networks 270
Emerging Information Properties of Chaotic Synchronization of 2D- Maps 277
III. From Quanta to Forests 286
Quantum Chaos – An Introduction 288
Distribution Geometry of Active Centers and Efficiency of Heterogeneous Reaction 296
CPU Nonlinear Time Series Analysis and Applications 302
Enhanced Superdiffusion and Finite Velocity of Lévy Flights 310
Deterministic Diffusion in Smooth Nonlinear Maps 318
Simulation of the Small Wavelength Wave Propagation in Solids 326
Chaotic Dynamics of Forest Fires 335
IV. Chaotic Signal Processing 346
Using Nonlinear Dynamics in Signal Processing 348
Surrogate Time Series Improve the Capability of Nonlinear Measures to Characterize the Epileptic Process 361
Fractal Dimension of EEG in Sleep Onset 368
Analysis of Methods for Chaotic Signal Estimation 378
DFA Application to Chaotic and Physiological Signals 384
Locating Ectopic Foci - A Simulation 392
Classification of Low and High Risk for Sudden Cardiac Death Using Neural Network 401
Influence of Static Magnetic Field on the Rat Heart Rhythm 409
V. Description of Chaotic Systems 414
Algebraic Description of Disspative Systems – Dirac Constraints in Action 416
Iterative Method of a Solution of the Operator Equations with a Perturbation 426
A Nonlinear Dynamical Model of Geomagnetic Activity: Preliminary Results 433
Efficiency Evaluation of Fuzzy Cora Algorithm with Application of Cross- Validation 442
Structuring of the Cellular Metabolism into Functional Units with Mathematical Methods 451
Variety of Running Fronts in One-Variable Reaction- Diffusion Systems 459
Closing Lecture 466
Nonlinear Dynamics in Psychophysiology – Feelings and Thoughts 468
Colour Pictures 478
List of Authors 489