Abstract
Bifurcations are discussed by the criterion of top Lyapunov exponent. Based on the local map and Kaminski's algorithms, a general formulation of the top Lyapunov exponents is proposed for non-linear vibro-impact oscillators with Gaussian white noise perturbation. The analytical results are verified by phase portraits and bifurcation diagrams for a classical stochastic Duffing vibro-impact oscillator. Both results are consistent.
| Original language | English |
|---|---|
| Pages (from-to) | 577-586 |
| Number of pages | 10 |
| Journal | Applied Mathematics and Computation |
| Volume | 213 |
| Issue number | 2 |
| DOIs | |
| State | Published - 15 Jul 2009 |
Keywords
- Bifurcation
- Duffing vibro-impact oscillator
- Stochastic non-smooth system
- Top Lyapunov exponent
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