Abstract
In this paper, the dynamics of Duffing-type system with non-smooth periodic perturbation and bounded noise was studied. The theory of Fourier series was used in this system to deal with the non-smooth character for the first time. The analytical condition for the appearance of chaos was given using stochastic Melnikov method. The numerical simulations confirm the validity of this method.
Original language | English |
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Pages (from-to) | 7535-7540 |
Number of pages | 6 |
Journal | Wuli Xuebao/Acta Physica Sinica |
Volume | 57 |
Issue number | 12 |
State | Published - Dec 2008 |
Keywords
- Bounded noise
- Maximal Lyapunov exponents
- Non-smooth dynamics
- Stochastic Melnikov function