Symmetry, cusp bifurcation and chaos of an impact oscillator between two rigid sides
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Publication:940388
DOI10.1007/S10483-007-0813-ZzbMath1231.70025OpenAlexW2011576612MaRDI QIDQ940388
Publication date: 1 September 2008
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10483-007-0813-z
Bifurcations and instability for nonlinear problems in mechanics (70K50) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)
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Cites Work
- Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
- Period-doubling induced chaotic motion in the LR model of a horizontal impact oscillator
- Controlling chaotic orbits in mechanical systems with impacts
- Periodic motions and grazing in a harmonically forced, piecewise, linear oscillator with impacts
- Period-doubling bifurcations and routes to chaos of the vibratory systems contacting stops
- On the symmetry of solutions in non-smooth dynamical systems with two constraints
- Interaction of Hopf and period doubling bifurcations of a vibro-impact system
- Chaotic motion of a horizontal impact pair
- The effect of frequency and clearance variations on single-degree-of-freedom impact oscillators
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