A method for following the unstable path between two saddle-node bifurcation points in nonlinear dynamic system

DOI10.1007/BF02459172zbMath0964.37045OpenAlexW255668388MaRDI QIDQ1579183

Jun Hua, Qingyu Xu, Jia-Zhong Zhang

Publication date: 19 July 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459172

zbMATH Keywords

periodic extremal excitationsaddle-mode bifurcationunstable path

Mathematics Subject Classification ID

Simulation of dynamical systems (37M05) Numerical bifurcation problems (65P30)

Cites Work

• Jump phenomena resulting in unpredictable dynamics in the driven damped pendulum
• Jumps to Resonance: Long Chaotic Transients, Unpredictable Outcome, and the Probability of Restabilization

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