Pseudochaotic Kicked Oscillators

Pseudochaotic Kicked Oscillators
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Renormalization, Symbolic Dynamics, and Transport
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Artikel-Nr:
9783642281532
Veröffentl:
2012
Seiten:
215
Autor:
John H. Lowenstein
Gewicht:
510 g
Format:
243x162x6 mm
Sprache:
Englisch
Beschreibung:

"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.

Pseudochaos theory deals with the complex branching behaviors of dynamical systems at the interface between orderly and chaotic motion. This volume presents recent developments in the field, as well as a focused explication of a typical one-dimensional model.
Local Dynamics: Piecewise Isometries of A Square.- Symbolic Dynamics.- Global Dynamics.- Model of Hamiltonian Round-off.

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