Coexisting periodic orbits in vibro-impacting dynamical systems.
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Publication:1418277
DOI10.1007/BF02438264zbMath1043.70011MaRDI QIDQ1418277
Publication date: 2003
Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)
Forced motions for nonlinear problems in mechanics (70K40) Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42)
Related Items (5)
Two-parameter bifurcations of an impact system under different damping conditions ⋮ Codimension two bifurcation and chaos of a vibro-impact forming machine associated with 1:2 resonance case ⋮ Detection and Classification of Solutions for Systems Interacting by Soft Impacts with Sample-Based Method ⋮ Bifurcation and Erosion of Safe Basin for a Spur Gear System ⋮ Dynamics of a vibro-impact system by the global analysis method in parameter-state space
Cites Work
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- The transition to chaos in a simple mechanical system
- Global bifurcations and chaos. Analytical methods
- Co-existing attractors of impact oscillator
- Dynamical properties of a simple mechanical system with a large number of coexisting periodic attractors
- The vibro-impact response of a harmonically excited and preloaded one-dimensional linear oscillator
- Global dynamics of a vibro-impacting linear oscillator
- Impacting under harmonic excitation
- Dynamical complexities of forced impacting systems
- Stabilization Of An Impact Oscillator Near Grazing Incidence Owing To Resonance
- EFFECTS DUE TO LOW VELOCITY IMPACT IN MECHANICAL OSCILLATORS
- A periodically forced piecewise linear oscillator
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