Dynamical Chaos (Princeton Legacy Library) - Softcover

Berry, M V

Softcover

ISBN 10: 0691085196 ISBN 13: 9780691085197

Publisher: Princeton University Press, 1992

Synopsis

The leading scientists who gave these papers under the sponsorship of the Royal Society in early 1987 provide reviews of facets of the subject of chaos ranging from the practical aspects of mirror machines for fusion power to the pure mathematics of geodesics on surfaces of negative curvature. The papers deal with systems in which chaotic conditions arise from initial value problems with unique solutions, as opposed to those where chaos is produced by the introduction of noise from an external source. Table of Contents Diagnosis of Dynamical Systems with Fluctuating Parameters D. Ruelle Nonlinear Dynamics, Chaos, and Complex Cardiac Arrhythmias L. Glass, A. L. Goldberger, M. Courtemanche, and A. Shrier Chaos and the Dynamics of Biological Populations R. M. May Fractal Bifurcation Sets, Renormalization Strange Sets, and Their Universal Invariants D. A. Rand From Chaos to Turbulence in Bnard Convection A. Libchaber Dynamics of Convection N. O. Weiss Chaos: A Mixed Metaphor for Turbulence E. A. Spiegel Arithmetical Theory of Anosov Diffeomorphisms F. Vivaldi Chaotic Behavior in the Solar System J. Wisdom Chaos in Hamiltonian Systems I. C. Percival Semi-Classical Quantization, Adiabatic Invariants, and Classical Chaos W. P. Reinhardt and I. Dana Particle Confinement and Adiabatic Invariance B. V. Chirikov Some Geometrical Models of Chaotic Dynamics C. Series The Bakerian Lecture: Quantum Chaology M. V. Berry

Originally published in 1989.

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About this title

Synopsis

Papers of the February 1987 meeting. They consider systems in which chaotic conditions arise from initial value problems by the introduction of external noise. The material reprinted here (from the Cambridge U. Press edition of a couple years ago) originally appeared in the Proceedings of the Royal Society of London; series A, v.413. No index. Anno

From the Back Cover

The understanding of chaos and strange attractors is one of the most exciting areas of mathematics today. The field represents a remarkable confluence of several different strands of thought.

Edition details

• Publisher: Princeton University Press
• Publication date: 1992
• Language: English
• ISBN 10: 0691085196
• ISBN 13: 9780691085197
• Binding: Paperback
• Number of pages: 208