The Cell Mapping Method for Approximating the Invariant Manifolds

DOI10.1007/978-1-4020-6332-9_12zbMath1188.37030OpenAlexW154986292MaRDI QIDQ5448252

Wei Xu, Qun He, Shuang Li

Publication date: 20 March 2008

Published in: IUTAM Book Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4020-6332-9_12

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Invariant manifold theory for dynamical systems (37D10) Invariant manifolds for ordinary differential equations (34C45) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items (8)

Global analysis of boundary and interior crises in an elastic impact oscillator ⋮ Probabilistic response of dynamical systems based on the global attractor with the compatible cell mapping method ⋮ Periodic motion and transition of a vibro-impact system with multilevel elastic constraints ⋮ Stochastic response of a \(\phi^6\) oscillator subjected to combined harmonic and Poisson white noise excitations ⋮ Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator ⋮ Analysis of global properties for dynamical systems by a modified digraph cell mapping method ⋮ First-passage time statistics in a bistable system subject to Poisson white noise by the generalized cell mapping method ⋮ Global Invariant Manifolds of Dynamical Systems with the Compatible Cell Mapping Method

Uses Software

• Dynamics

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