Skiadas C.H., Dimotikalis I. (editors) Chaotic Systems: Theory and Applications
Подождите немного. Документ загружается.
Chaotic Systems
Theory
and
Applications
This page intentionally left blankThis page intentionally left blank
Chaotic Systems
Theory and Applications
Selected Papers from the
2nd
Chaotic Modeling
and
Simulation International Conference (CHAOS2009)
Chania, Crete, Greece 1 - 5 June 2009
editors
Christos H Skiadas
Technical
University
of
Crete,
Greece
Ioannis Dimotikalis
Technological
Educational Institute
of
Crete,
Greece
,~
World Scientific
NEW
JERSEY·
LONDON·
SINGAPORE·
BEIJING·
SHANGHAI·
HONG
KONG·
TAIPEI·
CHENNAI
Published by
World Scientific Publishing Co. Pte. Ltd.
5 Toh Tuck Link, Singapore 596224
USA
office:
27
Warren Street, Suite 401-402, Hackensack, NJ 07601
UK office: 57 Shelton Street, Covent Garden, London WC2H 9HE
British Library Cataloguing-in-Publication Data
A catalogue record for this book
is
available from the British Library.
CHAOTIC SYSTEMS
Theory and Applications
Selected Papers from the 2nd Chaotic Modeling and Simulation International Conference
(CHAOS2009)
Copyright © 2010
by
World Scientific Publishing
Co.
Pte. Ltd.
All rights reserved. This book,
or
parts thereof, may not be reproduced
in
any form or by any means,
electronic or mechanical, including photocopying, recording
or
any information storage and retrieval
system now known or to be invented, without written permission from the Publisher.
For photocopying of material
in
this volume, please pay a copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923,
USA.
In
this case permission
to
photocopy is not required from the publisher.
ISBN-13 978-981-4299-71-8
ISBN-IO 981-4299
-7
1-5
Printed
in
Singapore
by
B & Jo Enterprise Pte Ltd
v
Preface
This book contains a collection
of
papers suggested by the scientific committee
including the best papers presented in the 2
nd
International Conference
(CHAOS2009) on Chaotic Modeling, Simulation and Applications, Chania,
Crete, Greece, June 1-5,2009. The aim
of
the conference was to invite and bring
together people working in interesting topics
of
chaotic modeling, nonlinear and
dynamical systems and chaotic simulation.
The book includes papers on various important topics
of
Chaotic Modeling and
Simulation
as:
• Bifurcation and chaos in multi machine power systems, Chaos in
multiplicative systems, Deterministic chaos machine, Dynamics
of
a
bouncing ball,
N-body chaos.
• Spatiotemporal chaos, Chaotic mixing in the system Earth, Multiple
equilibria and endogenous cycles, Growth models, EnKF and particle filters
for meteorological models, 3D steady flows, Local and global Lyapunov
exponents, Routh-Hurwitz conditions and the Lyapunov second method,
Chaotic behavior
of
plasma surface interaction, Simulation
of
geochemical
self-organization, Atmospheric pressure plasma.
• On the entropy flows to disorder, Quantum scattering and transport, Electron
quantum transport, Qualitative dynamics
of
interacting classical spins,
Atomic de Broglie-wave chaos,
q-deformed nonlinear maps.
• A two population model for the stock market problem, Complex dynamics in
an
asset pricing model, Hick Samuelson Keynes dynamic economic models,
Maxwell-Bloch equations as predator-prey system.
• Linear communication channels and synchronization, Identifying chaotic and
quasiperiodic time-series, New model
of
nonlinear oscillations generators,
Transmission line models,
Optimum CSK communication, Symmetry-break
in
a minimal Lorenz-like system, Longwave Marangoni convection.
• Nonlinear system's synthesis, Strategies
of
synergetics, Synergetics control,
Synergetics and multi-machine power system modification.
• Sub-critical transitions in coupled map lattices, Markov processes and
transition probabilities.
• Music composition from the cosine law
of
a frequency-amplitude triangle,
Composing chaotic music from a varying second order recurrence equation.
• Chaotic neural networks, A novel neuro-fuzzy algorithm.
We thank
all
the contributors
to
the success
of
the CHAOS 2009 International
Conference, the committees, the plenary speakers, the reviewers and especially the
authors
of
this volume. Special thanks
to
the Conference Secretary
Dr.
Anthi
Katsirikou
for
her work and assistance. Finally,
we
would like
to
thank Mary
Karadima, Aggeliki Oikonomou and George Matalliotakis
for
their valuable support.
October 30, 2009
Christos
H.
Skiadas, Technical,Dniversity
of
Crete, Greece
Ioannis Dimotikalis, Technological Educational Institute
of
Crete, Greece
vi
Honorary Committee
David
Ruelle
Academie
des
Sciences
de
Paris
Honorary
Professor
at
the
Institut
des
Hautes
Etudes
Scientifiques
of
Bures-sur-Yvette,
France
Leon
O.
Chua
EECS
Department,
University
of
California,
Berkeley,
USA
Editor
of
the
International
Journal
of
Bifurcation
and
Chaos
Ji-Huan
He
Donghua
University,
Shanghai,
China
Editor
of
Int.
Journal
of
Nonlinear
Sciences
and
Numerical
Simulation
International Scientific Committee
C.
H.
Skiadas
(Technical University
of
Crete, Chania, Greece), Chair
H.
Adeli
(The Ohio State University, USA)
N.
Akhmediev
(Australian National University, Australia)
M.
Amabili
(McGill University, Montreal, Canada)
J.
Awrejcewicz
(Technical University
of
Lodz, Poland)
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
(Universita
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)
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)
A.
Kolesnikov
(Southern Federal University, Russia)
G.
P.
Kapoor
(Indian Institute
of
Technology Kanpur, Kanpur, India)
V.
Krysko
(Dept. of
Math.
and
Modeling, Saratov State Technical University, Russia)
W.
Li
(Northwestern Poly technical University, China)
International Scientific Committee VII
B. L.
Lan
(School
of
Engineering, Monash University, Selangor, Malaysia)
V.
J.
Law
(Dublin City University, Glasnevin, Dublin, Ireland)
V. Lucarini (University
of
Reading, UK)
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 Poly technique, France)
N. Mastorakis (Techn. Univ.
of
Sofia, Bulgaria and ASEI, Greece)
A. S. Mikhailov (Fritz Haber Institute
of
Max Planck Society, Berlin, Germany)
M.
S.
M.
Noorani (Universiti Kebangsaan Malaysia, 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 (Universita di Firenze, Firenze, Italy)
G. Unal (Yeditepe University, Istanbul, Turkey)
A. Valyaev (Nuclear Safety Institute
of
RAS, Russia)
A.
Vakakis (University
of
Illinois, Urbana, USA)
J.
P. van
der
Weele (University
ofPatras,
Greece)
M.
Wiercigroch (University
of
Aberdeen, Aberdeen, Scotland, UK)
viii
Keynote Talks
Marco
Amabili
Department
of
Mechanical Engineering, McGill U ni versity, Montreal, Canada
Chaotic vibrations
of
circular
cylindrical shells:
Garlekin
versus reduced-
order
models
Jan
Awrejcewicz
Department
of
Automatics and Biomechanics, Technical University
of
Lodz,
Lodz, Poland
Deterministic chaos machine: Experimental vs. numerical investigations
Alfred Inselberg
School
of
Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel
Multidimensional visualization
and
its applications
Pier
A.
Mello
Institute
of
Physics, Universidad N acional Autonoma de Mexico, Mexico
Quantum
scattering
and
transport
in classically chaotic cavities:
An
overview
of
old
and
new results
Sergey V.
Prants
Pacific Oceanological Institute
of
the Russian Academy
of
Sciences,
Vladivostok, Russia
Quantum
chaos with atoms in a laser field
Alexander G.
Ramm
Mathematics Department, Kansas State University, Manhattan,
KS
66506-2602,
USA
http://www.math.ksu.edu/-ramm
Acoustic
and
electromagnetic wave scattering
by
many
small particles
and
creating materials with desired properties
Giuseppe Rega
Department
of
Structural Engineering and Geotechnical Engineering,
University
of
Rome 'La Sapienza', Italy
Experimental
unfolding
and
theoretical model
of
the transition
to
complex
dynamics in sagged cables
Konstantinos
S. Tsakalis
Department
of
Electrical Engineering, Ira A. Fulton School
of
Engineering,
Arizona State University,
USA
Chaos,
brain
and
epilepsy: A bioengineering
approach
Alexander F. Vakakis
Department
of
Mechanical Science and Engineering, University
of
Illinois,
Urbana, USA
Nonlinear
targeted
energy
transfer
in dynamical systems
Contents
Preface
Honorary Committee and International Scientific Committee
Keynote Talks
The Influence
of
Machine Saturation on Bifurcation and Chaos in
Multimachine
Power Systems
Majdi
M.
Alomari and Jian Cue Zhu
Chaos in Multiplicative Systems
Dorota Aniszewska and Marek Rybaczuk
Deterministic Chaos Machine: Experimental vs. Numerical
Investigations
Jan Awrejcewicz and Crzegorz Kudra
Some Issues and Results on the EnKF and Particle Filters for
Meteorological Models
Christophe Baehr and Olivier Pannekoucke
ix
v
vi
viii
9
17
27
Local and Global Lyapunov Exponents in a Discrete Mass Waterwheel 35
David Becerra Alonso and Valery Tereshko
Complex Dynamics in an Asset Pricing Model with Updating Wealth 43
Serena Brianzoni, Cristiana Mammana, and Elisabetta Michetti
Chaotic Mixing in the System Earth: Mixing Granitic and Basaltic
Liquids
Cristina De Campos, Werner Ertel-Ingrisch, Diego Perugini,
Donald
B.
Dingwell, and Ciampero Poli
Multiple Equilibria and Endogenous Cycles in a Non-Linear Harrodian
51
Growth Model 59
Pasquale Commendatore, Elisabetta Michetti, and Antonio Pinto
Hick Samuelson Keynes Dynamic Economic Model with Discrete
Time and Consumer Sentiment
Loretti
1.
Dobrescu, Mihaela Neamtu, and Dumitru Opri§
On the Entropy Flows to Disorder
C.
T.
J.
Dodson
67
75