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CHAOTIC SYSTEMS
Theory and Applications

Selected Papers from the 2nd Chaotic Modeling and Simulation International Conference (CHAOS2009)

Chania, Crete, Greece, 1 - 5 June 2009


CONTENTS

FRONT MATTER
i
The Influence of Machine Saturation on Bifurcation and Chaos in Multimachine Power Systems
Majdi M. Alomari and Jian Gue Zhu
1
Chaos in Multiplicative Systems
Dorota Aniszewska and Marek Rybaczuk
9
Deterministic Chaos Machine: Experimental vs. Numerical Investigation
Jan Awrejcewicz and Grzegorz Kudra
17
Some Issues and Results on the EnKF and Particle Filters for Meteorological Models
Christophe Baehr and Olivier Pannekoucke
27
Local and Global Lyapunov Exponents in a Discrete Mass Waterwheel
David Becerra Alonso and Valery Tereshko
35
Complex Dynamics in an Asset Pricing Model with Updating Wealth
Serena Brianzoni, Cristiana Mammana and Elisabetta Michetti
43
Chaotic Mixing in the System Earth: Mixing Granitic and Basaltic Liquids
Cristina De Campos, Werner Ertel-Ingrisch, Diego Perugini, Donald B. Dingwell and Giampero Poli
51
Multiple Equilibria and Endogenous Cycles in a Non-Linear Harrodian Growth Model
Pasquale Commendatore, Elisabetta Michetti and Antonio Pinto
59
Hick Samuelson Keynes Dynamic Economic Model with Discrete Time and Consumer Sentiment
Loretti I. Dobrescu, Mihaela Neamţu and Dumitru Opriş
67
On the Entropy Flows to Disorder
C. T. J. Dodson
75
Linear Communication Channel Based on Chaos Synchronization
Victor Grigoras and Carmen Grigoras
85
Maxwell-Bloch Equations as Predator-Prey System
A. S. Hacinliyan, O. Ö. Aybar, İ. Kuṣbeyzi, İ. Temizer and E. E. Akkaya
93
Identifying Chaotic and Quasiperiodic Time-Series Candidates for Efficient Nonlinear Projective Noise Reduction
Nada Jevtic and Jeffrey S. Schweitzer
101
Chaos from Observer's Mathematics Point of View
Dmitriy Khots and Boris Khots
111
New Models of Nonlinear Oscillation Generators
Alexander A. Kolesnikov
119
Nonlinear System's Synthesis – The Central Problem of Modern Science and Technology: Synergetics Conception. Part II: Strategies of Synergetics Control
Anatoly A. Kolesnikov
128
Synergetic Approach to Traditional Control Laws Multi-Machine Power System Modification
Anatoly A. Kolesnikov and Andrew A. Kuzmenko
134
Dynamic Stability Loss of Closed Circled Cylindrical Shells Estimation Using Wavelets
V. A. Krysko, J. Awrejcewicz, M. Zhigalov, V. Soldatov, E. S. Kuznetsova and S. Mitskevich
139
The Application of Multivariate Analysis Tools for Non-Invasive Performance Analysis of Atmospheric Pressure Plasma
V. J. Law, J. Tynan, G. Byrne, D. P. Dowling and S. Daniels
147
Chaos Communication: An Overview of Exact, Optimum and Approximate Results Using Statistical Theory
Anthony J. Lawrance
155
Dynamics of a Bouncing Ball
Shiuan-Ni Liang and Boon Leong Lan
165
Symmetry-Break in a Minimal Lorenz-Like System
Valerio Lucarini and Klaus Fraedrich
170
Sub-Critical Transitions in Coupled Map Lattices
P. Manneville
185
Quantum Scattering and Transport in Classically Chaotic Cavities: An Overview of Old and New Results
Pier A. Mello, Víctor A. Gopar and J. A. Méndez-Bermúdez
191
Parametric Excitation of a Longwave Marangoni Convection
Alexander B. Mikishev, Alexander A. Nepomnyashchy and Boris L. Smorodin
207
Symmetry Broken in Low Dimensional N-Body Chaos
David C. Ni and Chou Hsin Chin
215
On Markov Processes: A Survey of the Transition Probabilities and Markov Property
Gabriel V. Orman
224
Qualitative Dynamics of Interacting Classical Spins
Leonidas Pantelidis
232
A Transmission Line Model for the Spherical Beltrami Problem
C. D. Papageorgiou and T. E. Raptis
241
Two Aspects of Optimum CSK Communication: Spreading and Decoding
Theodore Papamarkou
249
A Numerical Exploration of the Dynamical Behaviour of q-Deformed Nonlinear Maps
Vinod Patidar, G. Purohit and K. K. Sud
257
Spatiotemporal Chaos in Distributed Systems: Theory and Practice
George P. Pavlos, A. C. Iliopoulos, V. G. Tsoutsouras, L. P. Karakatsanis and E. G. Pavlos
268
An Enhanced Tree-Shaped Adachi-Like Chaotic Neural Network Requiring Linear-Time Computations
Ke Qin and B. John Oommen
284
Clustering of Inertial Particles in 3D Steady Flows
Themistoklis Sapsis and George Haller
294
A Two Population Model for the Stock Market Problem
Christos H. Skiadas
302
Electron Quantum Transport through a Mesoscopic Device: Dephasing and Absorption Induced by Interaction with a Complicated Background
Valentin V. Sokolov
309
Composing Chaotic Music from a Varying Second Order Recurrence Equation
Anastasios D. Sotiropoulos and Vaggelis D. Sotiropoulos
320
Music Composition from the Cosine Law of a Frequency-Amplitude Triangle
Vaggelis D. Sotiropoulos and Anastasios D. Sotiropoulos
327
Chaos in a Fractional-Order Jerk Model Using Tanh Nonlinearity
Banlue Srisuchinwong
338
Nonlinear Systems in Brunovsky Canonical Form: A Novel Neuro-Fuzzy Algorithm for Direct Adaptive Regulation with Robustness Analysis
Dimitris C. Theodoridis, Yiannis Boutalis and Manolis A. Christodoulou
346
Routh-Hurwitz Conditions and Lyapunov Second Method for a Nonlinear System
Ömür Umut
362
Atomic de Broglie-Wave Chaos
V. O. Vitkovsky, L. E. Konkov and S. V. Prants
369
Chaotic Behavior of Plasma Surface Interaction: A Table of Plasma Treatment Parameters Useful to the Restoration of Metallic Archaeological Objects
C. L. Xaplanteris and E. Filippaki
377
Simulation of Geochemical Self-Organization: Acid Infiltration and Mineral Deposition in a Porous Ferruginous Limestone Rock
Farah Zaknoun, Houssam El-Rassy, Mazen Al-Ghoul, Samia Al-Joubeily, Tharwat Mokalled and Rabih Sultan
385
BACK MATTER
395
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