Gradual and sudden transition to chaos in a periodically forced nonlinear oscillator

DOI10.1016/0960-0779(94)90120-1zbMath0812.34029OpenAlexW2052175940MaRDI QIDQ1342142

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Publication date: 16 May 1995

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

Full work available at URL: https://doi.org/10.1016/0960-0779(94)90120-1

zbMATH Keywords

routes to chaosperiod- doubling routeperiodically forced nonlinear oscillator

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45)

Related Items (1)

The smallest chimera: Periodicity and chaos in a pair of coupled chemical oscillators

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The 1/2 subharmonic resonance and its transition to chaotic motion in a nonlinear oscillator
• Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)
• Unnamed Item

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