Torus \(T^{2}\) and its locking, doubling, chaos of a vibro-impact system
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Publication:1926354
DOI10.1016/j.jfranklin.2011.11.009zbMath1285.70008OpenAlexW2050163860MaRDI QIDQ1926354
Guofang Li, Wangcai Ding, Guan-Wei Luo, Jian-Hua Xie
Publication date: 28 December 2012
Published in: Journal of the Franklin Institute (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.11.009
Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics (70K55)
Related Items (3)
DYNAMICS OF A DAMPING OSCILLATOR WITH IMPACT AND IMPULSIVE EXCITATION ⋮ Global dynamics of a non-smooth system with elastic and rigid impacts and dry friction ⋮ Dynamics of a vibro-impact system by the global analysis method in parameter-state space
Cites Work
- Bifurcation analysis and control of a discrete harvested prey-predator system with Beddington-DeAngelis functional response
- Fuzzy control of dithered chaotic systems via neural-network-based approach
- Rank one chaos in a switch-controlled Chua's circuit
- Impulsive control of a class of vibro-impact systems
- Design of digital controllers for uncertain chaotic systems using fuzzy logic
- Hopf-Hopf bifurcation and invariant torus \(T^{2}\) of a vibro-impact system
- Quasi-genericity of bifurcations to high dimensional invariant tori for maps
- Controlling chaotic orbits in mechanical systems with impacts
- An experimental impact oscillator
- Explanation of appearance and characteristics of intermittency chaos of the impact oscillator
- Codimension two bifurcations and Hopf bifurcations of an impacting vibrating system
- Chaos and control of discrete dynamic traffic model
- Interaction of Hopf and period doubling bifurcations of a vibro-impact system
- Period-Doubling Bifurcation and Non-Typical Route to Chaos of a Two-Degree-Of-Freedom Vibro-Impact System
- The dynamics of repeated impacts with a sinusoidally vibrating table
- Singularities in vibro-impact dynamics
- Stabilization Of An Impact Oscillator Near Grazing Incidence Owing To Resonance
- Dynamics of Multiple-Degree-of-Freedom Oscillators With Colliding Components
- HOPF BIFURCATION OF A TWO-DEGREE-OF-FREEDOM VIBRO-IMPACT SYSTEM
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