Co-existing attractors of impact oscillator. (English) Zbl 0942.37040
The main goal of the authors is to analyze different types of co-existing attractors in a simple mechanical system. Note that co-existing attractors were found to be common in the mechanical system with impacts and dry friction. They show that when noise exists in the system, some attractors cannot reach their basin of attraction and the noise forces the trajectories out of them towards other attractors with larger basins of attraction.
Reviewer: Messoud Efendiev (Berlin)
MSC:
| 37H10 | Generation, random and stochastic difference and differential equations |
| 37N05 | Dynamical systems in classical and celestial mechanics |
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
References:
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