Noise induced destruction of zero Lyapunov exponent in coupled chaotic systems |
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Institution: | 1. Institute of Theoretical Physics and Department of Physics, East China Normal University, Shanghai 200062, China;2. Department of Physics, Hubei University, Wuhan 430062, China |
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Abstract: | Recently, it has been found that noise can induce chaos and destruct the zero Lyapunov exponent in the situation where a nonchaotic attractor coexists with a nonattracting chaotic saddle, as in a periodic window Phys. Rev. Lett. 88 (2002) 124101]. Here we report that noise can also destruct the zero Lyapunov exponent in coupled chaotic systems where there is only one attractor. Moreover, the zero Lyapunov exponent in noise free will become positive when adding noise and be proportional to the average frequency of bursting induced by noise. A physical theory and numerical simulations are presented to explain how the average frequency of bursting depends on the coupling and noise strength. |
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