Prediction of bifurcations and chaos for an asymmetric elastic oscillator

DOI10.1016/0960-0779(92)90038-OzbMath0771.34029OpenAlexW2043806486MaRDI QIDQ1208387

A. Salvatori, F. Benedettini, Giuseppe Rega

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.1016/0960-0779(92)90038-o

zbMATH Keywords

chaosstability analysisbifurcationscomputer simulationquadratic and cubic nonlinearitiesharmonically forced elastic oscillator

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Local and nonlocal bifurcation theory for dynamical systems (37G99)

Related Items (4)

Bifurcations near 1:2 subharmonic resonance in a structural dynamics model ⋮ Nonlinear flexural vibration of a circular ring. A single mode approach ⋮ Strong nonlinear modal interaction in shallow suspended cables with oscillating ends ⋮ Non-linearity, bifurcation and chaos in the finite dynamics of different cable models.

Cites Work

• Bifurcations in a forced softening Duffing oscillator
• Accurate solutions and stability criterion for periodic oscillations in hysteretic systems
• Periodic and chaotic motions of an unsymmetrical oscillator in nonlinear structural dynamics
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• The 1/2 subharmonic resonance and its transition to chaotic motion in a nonlinear oscillator
• Survey of regular and chaotic phenomena in the forced Duffing oscillator
• Effect of constant transverse force on chaotic oscillations of sinusoidally excited buckled beam
• The response of a single-degree-of-freedom system with quadratic and cubic non-linearities to a fundamental parametric resonance
• On necessary and sufficient conditions for chaos to occur in Duffing's equation: an Heuristic approach
• On the transition from regular to chaotic behaviour in the Duffing oscillator
• Construction of chaotic regions
• Planar non-linear oscillations of elastic cables under superharmonic resonance conditions
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