Title | Nonlinear Dynamical Systems and Chaos [electronic resource] / edited by H. W. Broer, S. A. van Gils, I. Hoveijn, F. Takens |
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Imprint | Basel : Birkhรคuser Basel : Imprint: Birkhรคuser, 1996 |
Connect to | http://dx.doi.org/10.1007/978-3-0348-7518-9 |
Descript | VII, 463 p. 28 illus. online resource |
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