Codimension two bifurcation of periodic vibro-impact and chaos of a dual component system

DOI10.1016/S0375-9601(03)00571-1zbMath1059.70502OpenAlexW2038388560MaRDI QIDQ1394703

D. Massart

Publication date: 23 June 2003

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(03)00571-1

zbMATH Keywords

Hopf bifurcation1/1 fixed points

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)

Related Items (6)

The dynamics of a symmetric impact oscillator between two rigid stops ⋮ Stationary responses of a Rayleigh viscoelastic system with zero barrier impacts under external random excitation ⋮ Stochastic response of Duffing-van der Pol vibro-impact system with viscoelastic term under wide-band excitation ⋮ Stationary response of multi-degree-of-freedom vibro-impact systems to Poisson white noises ⋮ Dynamics of a small vibro-impact pile driver ⋮ Maximal Lyapunov Exponents and Steady-State Moments of a VI System based Upon TDFC and VED

Cites Work

• Bifurcations in impact systems.
• Bifurcations and transition phenomena in an impact oscillator.
• The transition to chaos in a simple mechanical system
• Applications of centre manifold theory
• Global dynamics of a vibro-impacting linear oscillator
• Dynamics of Multiple-Degree-of-Freedom Oscillators With Colliding Components
• The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators
• HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM

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