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World Scientific Series on Nonlinear Science Series A
(ISSN: 1793-1010)

Monographs & Treatises


Series editor: Leon O Chua

New developments in nonlineardynamics, chaos and complexity are causing a revolution in science. The exciting development of new concepts and tools in Nonlinear Science calls for a broad spectrum of publications at different levels. This new series will include monographs, treatises, edited volumes on a single theme by experts actively engaged in research and proceedings of selected workshops and colloquia. Addressing a wide audience ranging from undergraduate students and young researchers to experienced scientists, this series will present a variety of fascinating topics of current interest.

Series A will focus on definitive and fundamental works of timely yet lasting values. To enhance the pedagogical value of this series, colour pictures and illustrations comparable in quality to those that have appeared in the International Journal of Bifurcation and Chaos will be included whenever necessary. Prospective authors are encouraged to send their proposal to the series editor.

To contribute to this book series, contact editor@worldscientific.com


Series A: Monographs and Treatises

Published titles

Volume 1:
From Order to Chaos
Essays: Critical, Chaotic and Otherwise
by Leo P Kadanoff

Volume 4:
Methods of Qualitative Theory in Nonlinear Dynamics (Part I)
by Leonid P Shilnikov, Andrey L Shilnikov, Dmitry V Turaev & Leon O Chua

Volume 5:
Methods of Qualitative Theory in Nonlinear Dynamics (Part II)
by Leonid P Shilnikov, Andrey L Shilnikov, Dmitry V Turaev & Leon O Chua

Volume 6:
Stability, Structures and Chaos in Nonlinear Synchronization Networks
by V S Afraimovich, V I Nekorkin, G V Osipov & V D Shalfeev

Volume 7:
Smooth Invariant Manifolds and Normal Forms
by I U Bronstein & A Ya Kopanskii

Volume 8:
Dynamical Chaos — Models and Experiments
Appearance Routes and Structure of Chaos in Simple Dynamical Systems
by Vadim Anishchenko

Volume 9:
Frequency-Domain Methods for Nonlinear Analysis: Theory and Applications
by G A Leonov, D V Ponomarenko & V B Smirnova

Volume 11:
Nonlinear Dynamics of Interacting Populations
by Alexander D Bazykin
edited by Alexander I Khibnik & Bernd Krauskopfby A D Bazykin, A I Khibnik & B Krauskopf

Volume 12:
Attractors of Quasiperiodically Forced Systems
by Tomasz Kapitaniak & Jerzy Wojewoda

Volume 13:
Chaos in Nonlinear Oscillations: Controlling and Synchronization
by M Lakshmanan & K Murali

Volume 14:
Impulsive Differential Equations
by A M Samoilenko & N A Perestyuk

Volume 15:
Computational Analysis of One-Dimensional Cellular Automata
by B H Voorhees

Volume 16:
Turbulence, Strange Attractors and Chaos
by David Ruelle

Volume 17:
Analysis of Complex Nonlinear Mechanical Systems, The: A Computer Algebra Assisted Approach (With Diskette of Maple Programming)
by Martin Lessero

Volume 18:
Propagation of Waves in Shear Flows
by A L Fabrikant & Yu A Stepanyants

Volume 19:
Continuum Mechanics Via Problems and Exercises
Part I: Theory and Problems
Part II: Answers and Solutions
edited by Margarita E Eglit & Dewey H Hodges

Volume 20:
Chaotic Dynamics in Two-Dimensional Noninvertible Maps
by Christian Mira, Laura Gardini, Alexandra Barugola & Jean-Claude Cathala

Volume 21:
Hopf Bifurcation Analysis
A Frequency Domain Approach
by Jorge L Moiola & Guanrong Chen

Volume 22:
Chaos and Complexity in Nonlinear Electronic Circuits
by Maciej J Ogorzalek

Volume 23:
Nonlinear Dynamics in Particle Accelerators
by Rui Dilão & Rui Alves-Pires

Volume 24:
From Chaos to Order
Methodologies, Perspectives and Applications
by Guanrong Chen & Xiaoning Dong

Volume 25:
Chaotic Dynamics in Hamiltonian Systems
With Applications to Celestial Mechanics
by Harry Dankowicz

Volume 26:
Visions of Nonlinear Science in the 21st Century
Festschrift Dedicated to Leon O Chua on the Occasion of His 60th Birthday
edited by Jose L Huertas, Wai-Kai Chen & Rabinder N Madan

Volume 27:
The Thermomechanics of Nonlinear Irreversible Behaviors
An Introduction
by Gérard A Maugin

Volume 28:
Applied Nonlinear Dynamics and Chaos of Mechanical Systems with Discontinuities
edited by Marian Wiercigroch & Bram de Kraker

Volume 30:
Quasi-Conservative Systems: Cycles, Resonances and Chaos
by Albert D Morozov

Volume 31:
CNN: A Paradigm for Complexity
by Leon O Chua

Volume 32:
From Order to Chaos II
Essays: Critical, Chaotic and Otherwise
by Leo P Kadanoff

Volume 33:
Lectures in Synergetics
by Volodymyr I Sugakov

Volume 35:
Introduction to Control of Oscillations and Chaos
by A L Fradkov & A Yu Pogromsky

Volume 36:
Chaotic Mechanics in Systems with Impacts and Friction
by Barbara Blazejczyk-Okolewska, Krzysztof Czolczynski, Tomasz Kapitaniak & Jerzy Wojewoda

Volume 37:
Invariant Sets for Windows
Resonance Structures, Attractors, Fractals and Patterns
by Albert D Morozov, Timothy N Dragunov, Svetlana A Boykova & Olga V Malysheva

Volume 38:
Nonlinear Noninteger Order Circuits and Systems — An Introduction
by P Arena, R Caponetto, L Fortuna & D Porto

Volume 39:
The Chaos Avant-Garde
Memories of the Early Days of Chaos Theory
edited by Ralph Abraham & Yoshisuke Ueda

Volume 40:
Advanced Topics in Nonlinear Control Systems
edited by T P Leung & H S Qin

Volume 41:
Synchronization in Coupled Chaotic Circuits and Systems
by Chai Wah Wu

Volume 42:
Chaotic Synchronization
Applications to Living Systems
by Erik Mosekilde, Yuri Maistrenko & Dmitry Postnov

Volume 43:
Universality and Emergent Computation in Cellular Neural Networks
by Radu Dogaru

Volume 44:
Bifurcations and Chaos in Piecewise-Smooth Dynamical Systems
Applications to Power Converters, Relay and Pulse-Width Modulated Control Systems, and Human Decision-Making Behavior
by Zhanybai T Zhusubaliyev & Erik Mosekilde

Volume 45:
Bifurcation and Chaos in Nonsmooth Mechanical Systems
by Jan Awrejcewicz & Claude-Henri Lamarque

Volume 46:
Synchronization of Mechanical Systems
by Henk Nijmeijer & Alejandro Rodriguez-Angeles

Volume 47:
Chaos, Bifurcations and Fractals Around Us
A Brief Introduction
by Wanda Szemplinska-Stupnicka

Volume 48:
Bio-Inspired Emergent Control of Locomotion Systems
by Mattia Frasca, Paolo Arena & Luigi Fortuna

Volume 49:
Nonlinear and Parametric Phenomena
Theory and Applications in Radiophysical and Mechanical Systems
by Vladimir Damgov

Volume 50:
Cellular Neural Networks, Multi-Scroll Chaos and Synchronization
by Müştak E Yalçın, Johan A K Suykens & Joos P L Vandewalle

Volume 51:
Symmetry and Complexity
The Spirit and Beauty of Nonlinear Science
by Klaus Mainzer

Volume 52:
Applied Nonlinear Time Series Analysis: Applications in Physics, Physiology and Finance
by Michael Small

Volume 53:
Bifurcation Theory and Applications
by Tian Ma & Shouhong Wang

Volume 54:
Dynamics of Crowd-Minds
Patterns of Irrationality in Emotions, Beliefs and Actions
by Andrew Adamatzky

Volume 55:
Control of Homoclinic Chaos by Weak Periodic Perturbations
by Ricardo Chacón

Volume 56:
Strange Nonchaotic Attractors
Dynamics between Order and Chaos in Quasiperiodically Forced Systems
by Ulrike Feudel, Sergey Kuznetsov & Arkady Pikovsky

Volume 57:
Nonlinear Dynamics Perspective of Wolfram' New Kind of Science, A
(In 2 Volumes)
Leon O Chua

Volume 58:
New Methods for Chaotic Dynamics
by Nikolai Alexandrovich Magnitskii & Sergey Vasilevich Sidorov

Volume 59:
Equations of Phase-Locked Loops
Dynamics on the Circle, Torus and Cylinder
by Jacek Kudrewicz (Warsaw University of Technology, Poland) & Stefan Wąsowicz

Volume 60:
Smooth and Nonsmooth High Dimensional Chaos and the Melnikov-Type Methods
by Jan Awrejcewicz & Mariusz M Holicke

Volume 61:
Gallery of Chua Attractors, A
(With DVD-ROM)
by Eleonora Bilotta & Pietro Pantano

Volume 62:
Numerical Simulation of Waves and Fronts in Inhomogeneous Solids
by Arkadi Berezovski, Jüri Engelbrecht & Gérard A Maugin

Volume 63:
Advanced Topics on Cellular Self-Organizing Nets and Chaotic Nonlinear Dynamics to Model and Control Complex Systems
by Riccardo Caponetto, Luigi Fortuna & Mattia Frasca

Volume 64:
Control of Chaos in Nonlinear Circuits and Systems
edited by Bingo Wing-Kuen Ling, Herbert Ho-Ching Iu & Hak-Keung Lam



Forthcoming titles

Chua's Circuit Implementations
Yesterday, Today and Tomorrow
by Luigi Fortuna, Mattia Frasca & Maria Gabriella Xibilia

Determining Thresholds of Complete Synchronization, and Application
by Andrzej Stefanski

Modeling by Nonlinear Differential Equations
Dissipative and Conservative Processes
by Paul E Phillipson & Peter Schuster

Nonlinear Dynamics Perspective of Wolfram' New Kind of Science, A
(Volume III)
L O Chua

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