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Dynamical Chaos
Ian C. Percival (Hrsg.), Nigel Oscar Weiss (Hrsg.), Michael V. Berry (Hrsg.)
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
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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Convection, Adiabatic invariant, Integrable system, Separatrix (mathematics), Factorization, Partial differential equation, Poisson point process, Orrery, Boundary value problem, Differential equation, Two-dimensional space, Big O notation, Rotation around a fixed axis, Orbital eccentricity, Perturbation theory (quantum mechanics), Rayleigh number, Heteroclinic bifurcation, Amplitude, Quasiperiodic motion, Phase space, Estimation, Instability, Parasystole, Attractor, Dynamical system, Eigenvalues and eigenvectors, Chaos theory, Tidal locking, Diagram (category theory), Time evolution, Eigenfunction, Homoclinic bifurcation, Theorem, Adiabatic theorem, Quantum mechanics, Probability, Renormalization, Lorenz system, Resonance, Bifurcation diagram, Parameter, Scattering, Information dimension, Initial condition, Rotation number, Statistical mechanics, Cardiac arrhythmia, Bifurcation theory, Kirkwood gap, Stable manifold, Approximation, Universality class, Hopf bifurcation, Three-dimensional space (mathematics), Libration, Computation, Equations of motion, Sinus rhythm, Standard map, Equation, Nonlinear system, Action potential, Hamiltonian system, Hamiltonian mechanics, Winding number, Theory, Degrees of freedom (statistics), Limit cycle, Calculation, Dimension