On complex periodic motions and bifurcations in a periodically forced, damped, hardening Duffing oscillator

DOI10.1016/j.chaos.2015.10.004zbMath1355.34060OpenAlexW2262621263MaRDI QIDQ508538

Yu Guo, Albert C. J. Luo

Publication date: 7 February 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2015.10.004

zbMATH Keywords

analytical bifurcation treescomplex period-\(m\) motionsdiscrete implicit mapshardening Duffing oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Ordinary differential equations and systems on manifolds (34C40) Stability theory for smooth dynamical systems (37C75)

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