Nonlinear Dynamical Systems and Chaos
Published on 3. October 2013
Book
Paperback/Softback
VII, 463 pages
978-3-0348-7520-2 (ISBN)
Description
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.
More details
Series
Edition
Softcover reprint of the original 1st ed. 1996
Language
English
Place of publication
Basel
Switzerland
Publishing group
Springer Basel
Target group
Professional and scholarly
Research
Illustrations
28 s/w Abbildungen
VII, 463 p. 28 illus.
Dimensions
Height: 203 mm
Width: 133 mm
Thickness: 26 mm
Weight
526 gr
ISBN-13
978-3-0348-7520-2 (9783034875202)
DOI
10.1007/978-3-0348-7518-9
Schweitzer Classification
Other editions
Additional editions
H.W. Broer | I. Hoveijn | F. Takens
Nonlinear Dynamical Systems and Chaos
Book
12/1995
Birkhäuser
€85.55
Article exhausted; check different version
Content
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.