Chaos synchronization between single and double wells Duffing-Van der Pol oscillators using active control. (English) Zbl 1142.93350
Summary: This paper presents chaos synchronization between single and double wells Duffing-Van der Pol (DVP) oscillators with \(\Phi ^{4}\) potential based on the active control technique. The technique is applied to achieve global synchronization between identical double-well DVP oscillators, identical single-well DVP oscillators and non-identical DVP oscillators, consisting of the double-well and the single-well DVP oscillators, respectively. Numerical simulations are also presented to verify the analytical results.
MSC:
| 93C15 | Control/observation systems governed by ordinary differential equations |
| 37M25 | Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) |
| 70K99 | Nonlinear dynamics in mechanics |
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