Stochastic resonance in chaotic systems. (English) Zbl 0943.37508
Summary: The phenomenon of stochastic resonance (SR) is investigated for chaotic systems perturbed by white noise and a harmonic force. The bistable discrete map and the Lorenz system are considered as models. It is shown that SR in chaotic systems can be realized via both parameter variation (in the absence of noise) and by variation of the noise intensity with fixed values of the other parameters.
MSC:
| 37D45 | Strange attractors, chaotic dynamics of systems with hyperbolic behavior |
| 70K50 | Bifurcations and instability for nonlinear problems in mechanics |
| 70K55 | Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics |
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