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Hamiltonian Chaos Beyond the KAM Theory (Nonlinear Physical Science)

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Publisher Comments:

"Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (1935--2008)" covers the recent developments and advances in the theory and application of Hamiltonian chaos in nonlinear Hamiltonian systems. The book is dedicated to Dr. George Zaslavsky, who was one of three founders of the theory of Hamiltonian chaos. Each chapter in this book was written by well-established scientists in the field of nonlinear Hamiltonian systems. The development presented in this book goes beyond the KAM theory, and the onset and disappearance of chaos in the stochastic and resonant layers of nonlinear Hamiltonian systems are predicted analytically, instead of qualitatively. The book is intended for researchers in the field of nonlinear dynamics in mathematics, physics and engineering. Dr. Albert C.J. Luo is a Professor at Southern Illinois University Edwardsville, USA. Dr. Valentin Afraimovich is a Professor at San Luis Potosi University, Mexico.

Table of Contents

Stochastic and Resonant Layers in Nonlinear Hamiltonian Systems.- A New Approach to The Treatment of Separatrix Chaos and Its Applications.- Hamiltonian Chaos and Anomalous Transport in Two Dimensional Flows.- Hamiltonian Chaos with A Cold Atom in An Optical Lattice.- Using Stochastic Webs to Control The Quantum Transport of Electrons in Semiconductor Superlattices.- Chaos in Ocean Acoustic Waveguide.

Product Details

ISBN:
9783642127175
Author:
Luo, Albert C. J. (edt)
Publisher:
Springer
Editor:
Luo, Albert C. J.
Editor:
Afraimovich, Valentin
Author:
uo, Albert C. J.
Author:
L
Author:
Afraimovich, Valentin
Author:
Luo, Albert C. J.
Subject:
Applied
Subject:
Mechanical
Subject:
Chaotic Behavior in Systems
Subject:
DYNAMICAL SYSTEMS
Subject:
George Zaslavsky
Subject:
Hamiltonian chaos
Subject:
KAM Theory
Subject:
Nonlinear Hamiltonian systems
Subject:
Quantum chaos.
Subject:
Resonant layers
Subject:
Stochastic layers and Webs
Subject:
Nonlinear Dynamics.
Subject:
Systems Theory, Control
Subject:
Vibration, Dynamical Systems, Control
Subject:
Physics-General
Copyright:
Edition Description:
2011
Series:
Nonlinear Physical Science
Publication Date:
20110309
Binding:
HARDCOVER
Language:
English
Pages:
275
Dimensions:
235 x 155 mm

Related Subjects

Engineering » Mechanical Engineering » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » Popular Chaos and Fractals
Science and Mathematics » Mathematics » Systems Theory
Science and Mathematics » Physics » General

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