Application of high-order difference methods for the study of period doubling bifurcations in nonlinear oscillators

DOI10.1016/0377-0427(95)00188-3zbMath0854.65058OpenAlexW2080521153MaRDI QIDQ1919379

René van Dooren, Hugo L. Janssen

Publication date: 13 October 1996

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00188-3

zbMATH Keywords

numerical resultschaosnonlinear oscillatorsbifurcationdifference schemeNewton methodperiod doubling bifurcationsDuffing systemsFeigenbaum relationperiodic nonlinear differential equationRunge-Kutta-Hŭta method

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Finite difference and finite volume methods for ordinary differential equations (65L12)

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

Cites Work

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