Dynamical Chaos (eBook)

Michael V. Berry, Ian C. Percival, Nigel Oscar Weiss (Herausgeber)

eBook Download: PDF

2014
208 Seiten
Princeton University Press (Verlag)
978-1-4008-6019-7 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 14.7.2014
• Reihe/Serie: Princeton Legacy Library
• Reihe/Serie: Princeton Legacy Library
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften
• Themenwelt: Technik
• Schlagworte: Accuracy and precision • Action potential • Adiabatic invariant • adiabatic theorem • Amplitude • Approximation • attractor • Belousov–Zhabotinsky reaction • Bifurcation diagram • Bifurcation Theory • Big O notation • boolean function • Boundary value problem • Calculation • Cardiac Arrhythmia • chaos theory • characteristic exponent • classical limit • Computation • convection • correlation dimension • Degrees of freedom (statistics) • Diagram (category theory) • differential equation • Dimension • Dirac delta function • Dynamical system • Eigenfunction • Eigenvalues and Eigenvectors • Equation • Equations of motion • estimation • exponential growth • Factorization • fractal dimension • hamiltonian mechanics • Hamiltonian System • Heteroclinic bifurcation • Homoclinic bifurcation • Homoclinic orbit • Hopf Bifurcation • information dimension • Initial Condition • instability • integrable system • Internal Heating • Kirkwood gap • Libration • Limit cycle • Lorenz System • Mathematics • Non-Euclidean geometry • Nonlinear resonance • nonlinear system • Orbital eccentricity • Orbital Resonance • Orrery • Parameter • Parasystole • partial differential equation • Perturbation theory (quantum mechanics) • Phase space • Pitchfork bifurcation • plane wave • Poisson Point Process • power series • Probability • Proportionality (mathematics) • Quantum Chaos • quantum mechanics • Quasiperiodic motion • radius of convergence • Rate of Convergence • Rayleigh Number • Regime • renormalization • resonance • Rotation around a fixed axis • Rotation number • Saddle-node bifurcation • scattering • Separatrix (mathematics) • Sinus Rhythm • Soliton • Special case • stable manifold • Standard map • Statistic • Statistical Mechanics • stochastic • symbolic dynamics • Test particle • Theorem • theory • Three-dimensional space (mathematics) • Tidal locking • Time evolution • two-dimensional space • Universality class • Winding number
• ISBN-10: 1-4008-6019-9 / 1400860199
• ISBN-13: 978-1-4008-6019-7 / 9781400860197