Pseudochaotic kicked oscillators : renormalization, symbolic dynamics, and transport / John H. Lowenstein.

Format:

Book

Author/Creator:

Lowenstein, John H.

Language:

English

Subjects (All):

Differentiable dynamical systems.

Differential equations.

Physical Description:

1 online resource (220 p.)

Edition:

1st ed. 2012.

Other Title:

Renormalization, symbolic dynamics, and transport

Place of Publication:

Heidelberg ; New York : Springer, c2012.

Language Note:

English

Summary:

"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.

Contents:

Local Dynamics: Piecewise Isometries of A Square

Symbolic Dynamics

Global Dynamics

Model of Hamiltonian Round-off.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

3-642-28154-0

OCLC:

855969000