Pseudochaotic Kicked Oscillators - Renormalization, Symbolic Dynamics, and Transport

"Pseudochaotic Kicked Oscillators: Renormalization, Symbolic Dynamics, and Transport" presents recent developments in pseudochaos, which is concerned with complex branching behaviors of dynamical systems at the interface between orderly and chaotic motion. Pseudochaos is characterized by the trapping of orbits in the vicinity of self-similar hierarchies of islands of stability, producing phase-space displacements which increase asymptotically as a power of time. This monograph is a thorough, self-contained investigation of a simple one-dimensional model (a kicked harmonic oscillator) which exhibits pseudochaos in its purest form. It is intended for graduate students and researchers in physics and applied mathematics, as well as specialists in nonlinear dynamics.

Dr. John H. Lowenstein is a Professor Emeritus in the Department of Physics at New York University, USA.

List of contents

Local Dynamics: Piecewise Isometries of A Square.- Symbolic Dynamics.- Global Dynamics.- Model of Hamiltonian Round-off.

Report

From the book reviews:
"This book is about the pseudo-chaotic kicked oscillator: a harmonic oscillator, subjected to impulsive kicks in resonance at the natural frequency. ... This is a well-edited book, with a clear line of self-contained exposition and a large number of illustrations and useful examples. It can serve as a textbook as part of an advanced course in nonlinear dynamical systems." (César A. Terrero-Escalante, Mathematical Reviews, June, 2014)

Product details

• Authors: John H. Lowenstein
• Publisher: Springer, Berlin
• Languages: English
• Product format: Hardback
• Released: 16.10.2012
• EAN: 9783642281532
• ISBN: 978-3-642-28153-2
• No. of pages: 215
• Dimensions: 162 mm x 6 mm x 243 mm
• Weight: 455 g
• Illustrations: XII, 215 p. 125 illus., 22 illus. in color.
• Subjects: Natural sciences, medicine, IT, technology > Physics, astronomy > Electricity, magnetism, optics; B, Mathematics, Applications of Mathematics, Systems Theory, Control, Physics and Astronomy, Mathematical physics, Applied mathematics, Mathematical Methods in Physics, System Theory, Applications of Nonlinear Dynamics and Chaos Theory, Nonlinear Optics, Cybernetics and systems theory, Control theory