A continuation algorithm for discovering new chaotic motions in forced Duffing systems

DOI10.1016/0377-0427(95)00162-XzbMath0854.65057MaRDI QIDQ1919401

Hugo L. Janssen, René van Dooren

Publication date: 13 October 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

chaosstrange attractorsdynamical systemcontinuation algorithmbifurcation diagramDuffing equationshooting methodperiodic excitationforced motionsFeigenbaum's numberRunge-Kutta-Hŭta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items

Researches on chaos phenomenon of EEG dynamics model, Application of high-order difference methods for the study of period doubling bifurcations in nonlinear oscillators, Chaotic motion in forced Duffing system subject to linear and nonlinear damping, Chaotic Responses in a Stable Duffing System of Non-ideal Type, Coalescence of the primary responses and the secondary responses in a nonautonomous system, Mechanism of producing a saddle-node bifurcation with the coalescence of two unstable periodic orbits

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