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Physics - Statistical Physics & Dynamical Systems | Pseudochaotic Kicked Oscillators - Renormalization, Symbolic Dynamics, and Transport

Pseudochaotic Kicked Oscillators

Renormalization, Symbolic Dynamics, and Transport

Lowenstein, John H.

Jointly published with Higher Education Press

2013, XII, 215 p.

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  • Thorough, self-contained investigation of a simple one-dimensional model of purest form of pseudochaos
  • Treats local and global scaling based on novel symbolic dynamics via non-standard renormalization scheme
  • Explains extreme sensitivity to arithmetic properties of parameters in these systems

"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.

Content Level » Research

Keywords » Anomalous transport - Kicked oscillator - Piecewise isometry - Pseudochaos - Renormalization

Related subjects » Applications - Statistical Physics & Dynamical Systems - Theoretical, Mathematical & Computational Physics

Table of contents 

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

Distribution rights 

Distribution rights in China: Higher Education Press

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