Chaotic saddles in Wada basin boundaries and their bifurcations by the generalized cell-mapping digraph (GCMD) method
From MaRDI portal
Publication:1418909
DOI10.1023/A:1025628311790zbMath1081.70506OpenAlexW55565704MaRDI QIDQ1418909
Publication date: 14 January 2004
Published in: Nonlinear Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1025628311790
global analysischaotic saddlegeneralized cell mappingfractal basin boundaryWada basin boundarychaotic boundary crisisindeterminate bifurcation
Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)
Related Items
WADA FRACTAL BASINS OF ATTRACTION IN A ZERO-STIFFNESS VIBRATION ISOLATION SYSTEM ⋮ Studying the Global Bifurcation Involving Wada Boundary Metamorphosis by a Method of Generalized Cell Mapping with Sampling-Adaptive Interpolation ⋮ Switching-induced Wada basin boundaries in the Hénon map ⋮ Noise-Induced Chaos in a Piecewise Linear System ⋮ Doubling the coexisting attractors ⋮ Wada bifurcations and partially Wada basin boundaries in a two-dimensional cubic map ⋮ Global analyses of crisis and stochastic bifurcation in the hardening Helmholtz-Duffing oscillator ⋮ Wada boundary bifurcations induced by boundary saddle-saddle collision ⋮ Basin reversal in nonlinear driven oscillators ⋮ Stochastic response and bifurcations of a dry friction oscillator with periodic excitation based on a modified short-time Gaussian approximation scheme ⋮ Generalized Cell Mapping Method with Deep Learning for Global Analysis and Response Prediction of Dynamical Systems
