Dynamical Chaos / / ed. by Michael V. Berry, Ian C. Percival, Nigel Oscar Weiss.

• Superior document: Title is part of eBook package: De Gruyter Princeton Legacy Lib. eBook Package 1980-1999
• HerausgeberIn: Berry, Michael V.,; Percival, Ian C.,; Weiss, Nigel Oscar,
• MitwirkendeR: Berry, Μ. V.,; Chirikov, B. V.,; Courtemanche, M.,; Dana, I.,; Glass, L.,; Goldberger, A. L.,; Libchaber, A.,; May, R. M.,; Percival, I. C.,; Rand, D. A.,; Reinhardt, W. P.,; Ruelle, D.,; Series, C.,; Shrier, A.,; Spiegel, E. A.,; Vivaldi, F.,; Weiss, N. O.,; Wisdom, J.,; Zeeman, E. C.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2014]; ©1989
• Year of Publication: 2014
• Edition: Course Book
• Language: English
• Series: Princeton Legacy Library ; 988
• Physical Description: 1 online resource (208 p.)

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. BerryOriginally published in 1989.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Table of Contents

Frontmatter -- Contents -- Chairman's introduction -- Diagnosis of dynamical systems with fluctuating parameters -- Nonlinear dynamics, chaos and complex cardiac arrhythmias -- Chaos and the dynamics of biological populations -- Fractal bifurcation sets, renormalization strange sets and their universal invariants -- From chaos to turbulence in Benard convection -- Dynamics of convection -- Chaos: a mixed metaphor for turbulence -- Arithmetical theory of Anosov diffeomorphisms -- Chaotic behaviour in the Solar System -- Chaos in hamiltonian systems -- Particle confinement and adiabatic invariance -- Semi-classical quantization, adiabatic invariants and classical chaos -- Some geometrical models of chaotic dynamics -- THE BAKERIAN LECTURE, 1 9 8 7 Quantum chaology