Hamiltonian Chaos Beyond the KAM Theory

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Beschreibung

Hamiltonian Chaos Beyond the KAM Theory: Dedicated to George M. Zaslavsky (19352008) 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.



Explains a theory on resonant mechanism of Hamiltonian chaos in stochastic layers and webs

Develops newest methods and ideas on Hamiltonian chaos in nonlinear Hamiltonian systems

Direct applies Hamiltonian chaos to quantum dynamics and ray dynamics

Predicts Hamiltonian chaos beyond the KAM theory



Inhalt
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.

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Produktinformationen

Titel
Hamiltonian Chaos Beyond the KAM Theory
Untertitel
Dedicated to George M. Zaslavsky (1935-2008)
Editor
EAN
9783642127175
ISBN
3642127177
Format
Fester Einband
Herausgeber
Springer-Verlag GmbH
Genre
Mathematik
Anzahl Seiten
275
Gewicht
643g
Größe
H243mm x B164mm x T25mm
Jahr
2011
Untertitel
Englisch
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