Dynamical Chaos
- 208 pages
- English
- PDF
- Available on iOS & Android
About this book
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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Table of contents
- Cover
- Contents
- E. C. Zeeman, F.R.S., Chairman's Introduction
- D. Ruelle, Diagnosis of Dynamical Systems with Fluctuating Parameters
- L. Glass, A. L. Goldberger, M. Courtemanche and A. Schreir, Nonlinear Dynamics, Chaos and Complex Cardiac Arrhythmias
- R. M. May, F.R.S., Chaos and the Dynamics of Biological Populations
- D. A. Rand, Fractal Bifurcation Sets, Renormalization Strange Sets and Their Universal Invariants
- A. Libchaber, From Chaos to Turbulence in Benard Convection
- N. O. Weiss, Dynamics of Convection
- E. A. Spiegel, Chaos: A Mixed Metaphor for Turbulence
- F. Vivaldi, Arithmetical Theory of Anosov Diffeomorphisms
- J. Wisdom, Chaotic Behaviour in the Solar System
- I. C. Percival, F.R.S., Chaos in Hamiltonian Systems
- B. V. Chirikov, Particle Confinement and the Adiabatic Invanance
- W. P Reinhardt and I. Dana, Semi–Classical Quantization, Adiabatic Invariants and Classical Chaos
- C. Series, Some Geometrical Models of Chaotic Dynamics
- M. V. Berry, F.R.S., The Bakerian Lecture. Quantum Chaology