Improved generalized cell mapping for global analysis of dynamical systems

DOI10.1007/s11431-009-0056-xzbMath1186.37097OpenAlexW1993669342MaRDI QIDQ1045351

Hailin Zou, Jian-xue Xu

Publication date: 15 December 2009

Published in: Science in China. Series E (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11431-009-0056-x

zbMATH Keywords

invariant setattractorglobal analysischaotic saddlegeneralized cell-to-cell mapping

Mathematics Subject Classification ID

Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25)

Related Items (7)

Extinction time of a stochastic predator-prey model by the generalized cell mapping method ⋮ Probabilistic response of dynamical systems based on the global attractor with the compatible cell mapping method ⋮ Stochastic response of a \(\phi^6\) oscillator subjected to combined harmonic and Poisson white noise excitations ⋮ Global bifurcations of strongly nonlinear oscillator induced by parametric and external excitation ⋮ Clustered simple cell mapping: an extension to the simple cell mapping method ⋮ Analysis of global properties for dynamical systems by a modified digraph cell mapping method ⋮ Generalized Cell Mapping Method with Deep Learning for Global Analysis and Response Prediction of Dynamical Systems

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