Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation

DOI10.1142/S0218127418300033zbMath1388.34031WikidataQ130079759 ScholiaQ130079759MaRDI QIDQ4608918

Dafeng Tang, Jun Jiang, Ling Hong, Xiao-Ming Liu

Publication date: 29 March 2018

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

global bifurcationgeneralized cell mappinginterpolation error formulathird order interpolationWada boundary metamorphosis

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Numerical interpolation (65D05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Interpolation in approximation theory (41A05)

Related Items (6)

Global Analysis of Stochastic Systems by the Digraph Cell Mapping Method Based on Short-Time Gaussian Approximation ⋮ Wada boundary bifurcations induced by boundary saddle-saddle collision ⋮ On the Data-Driven Generalized Cell Mapping Method ⋮ Global Invariant Manifolds of Dynamical Systems with the Compatible Cell Mapping Method ⋮ Fuzzy Noise-Induced Codimension-Two Bifurcations Captured by Fuzzy Generalized Cell Mapping with Adaptive Interpolation ⋮ Stochastic response and bifurcations of a dry friction oscillator with periodic excitation based on a modified short-time Gaussian approximation scheme

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