Hamiltonian Chaos Beyond the KAM Theory

Dedicated to George M. Zaslavsky (1935—2008)
Buch | Hardcover
XVIII, 292 Seiten
2011 | 2011
Springer Berlin (Verlag)
978-3-642-12717-5 (ISBN)
106,99 inkl. MwSt

"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.

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.

Erscheint lt. Verlag 4.1.2011
Reihe/Serie Nonlinear Physical Science
Zusatzinfo XVIII, 292 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 635 g
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Astronomie / Astrophysik
Naturwissenschaften Physik / Astronomie Optik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Technik Maschinenbau
Schlagworte Chaos • Dynamical Systems • George Zaslavsky • Hamiltonian chaos • Hamiltonsches System • HEP • KAM Theory • Nonlinear Dynamics • Nonlinear Hamiltonian systems • NPS • Quantum Chaos • Resonant layers • Stochastic layers and Webs
ISBN-10 3-642-12717-7 / 3642127177
ISBN-13 978-3-642-12717-5 / 9783642127175
Zustand Neuware
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