Nonlinear dynamical systems and chaos

by Broer, H. W., (Hendrik Wolter)

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Title Statements

Full title :Nonlinear dynamical systems and chaos / H.W. Broer [and others], editors.

Summary

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.

Edition Statements

Publication Date:1996.

Publication Statements

Publisher(s):Birkhäuser
Place of Publication:Basel
Language:eng
Publication Date:1996.

The Physical Object

Description:1 online resource (vi, 459 pages) : : illustrations

Edition Identifiers

ISBN:9783034875189, 3034875185, 9783034875202, 3034875207
DOI:10.1007/978-3-0348-7518-9
oclc:ocn682124827
LC Classification:QC20.7.N6
Dewey Decimal:515/.352

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…

Subjects

Conference papers and proceedings Differentiaalvergelijkingen Differential equations, Nonlinear Differential equations, Nonlinear -- Co… Dynamische systemen Équations différentielles non linéaires… Mathematical physics Mathematical physics -- Congresses Nonlinear theories -- Congresses. -- Ma… Nonlinear theories -- Mathematics Physique mathématique -- Congrès Théories non linéaires -- Congrès. -- M… Théories non linéaires -- Mathématiques