Nonlinear Dynamical Systems and Chaos Progress in Nonlinear Differential Equations and Their Applications, 19

Broer, H.W., S.A. van Gils and I. Hoveijn:

ISBN 10: 3764353465 / ISBN 13: 9783764353469

Editore: Birkhäuser Verlag, 1996

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459 Seiten Der Erhaltungszustand des hier angebotenen Werks ist trotz seiner Bibliotheksnutzung sehr sauber. Es befindet sich neben dem Rückenschild lediglich ein Bibliotheksstempel im Buch; ordnungsgemäß entwidmet. In ENGLISCHER Sprache. Sprache: Englisch Gewicht in Gramm: 915. Codice articolo 2131139

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Titolo: Nonlinear Dynamical Systems and Chaos ...

Casa editrice: Birkhäuser Verlag

Data di pubblicazione: 1996

Legatura: gebundene Ausgabe

Condizione: Gut

Descrizione articolo

Riassunto:

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.

Contenuti:

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.