Nonlinear Dynamical Systems and Chaos

H.W. Broer, I. Hoveijn, F. Takens, S.A. van Gils (Herausgeber)

Buch | Softcover

VII, 463 Seiten

2013 | 1. Softcover reprint of the original 1st ed. 1996
Springer Basel (Verlag)
978-3-0348-7520-2 (ISBN)

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Symmetries in dynamical systems, "KAM theory and other perturbation theories", "Infinite dimensional systems", "Time series analysis" and "Numerical continuation and bifurcation analysis" were the main topics of the December 1995 Dynamical Systems Conference held in Groningen in honour of Johann Bernoulli. They now form the core of this work which seeks to present the state of the art in various branches of the theory of dynamical systems. A number of articles have a survey character whereas others deal with recent results in current research. It contains interesting material for all members of the dynamical systems community, ranging from geometric and analytic aspects from a mathematical point of view to applications in various sciences.

Symmetries in dynamical systems.- Symplccticity, reversibility and elliptic operators.- The Rolling Disc.- Testing for Sn-Symmetry with a Recursive Detective.- Normal forms of vector fields satisfying certain geometric conditions.- On symmetric ?-limit sets in reversible flows.- Symmetry Breaking in Dynamical Systems.- Invariant Cj functions and center manifold reduction.- Hopf bifurcation at k-fold resonances in conservative systems.- KAM theory and other perturbation theories.- Families of Quasi-Periodic Motions in Dynamical Systems Depending on Parameters.- Towards a Global Theory of Singularly Perturbed Dynamical Systems.- Equivariant Perturbations of the Euler Top.- On stability loss delay for a periodic trajectory.- Parametric and autoparametric resonance.- Global attractors and bifurcations.- Infinite dimensional systems.- Modulated waves in a perturbed Korteweg-de Vries equation.- Hamiltonian Perturbation Theory for Concentrated Structures in Inhomogeneous Media.- On instability of minimal foliations for a variational problem on T2.- Local and Global Existence of Multiple Waves Near Formal Approximations.- Time series analysis.- Estimation of dimension and order of time series.- Numerical continuation and bifurcation analysis.- On the computation of normally hyperbolic invariant manifolds.- The Computation of Unstable Manifolds Using Subdivision and Continuation.

Erscheint lt. Verlag	3.10.2013
Reihe/Serie	Progress in Nonlinear Differential Equations and Their Applications
Zusatzinfo	VII, 463 p. 28 illus.
Verlagsort	Basel
Sprache	englisch
Maße	133 x 203 mm
Gewicht	524 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	Analysis • Bifurcation • Chaos • Dynamical Systems • KAM Theory • Time Series Analysis
ISBN-10	3-0348-7520-7 / 3034875207
ISBN-13	978-3-0348-7520-2 / 9783034875202
Zustand	Neuware