Noise effect on weak chaotic synchronization in coupled invertible systems

초록

We investigate the noise effect on weak chaotic synchronization in coupled invertible systems such as coupled Henon maps and coupled pendula. Weakly stable synchronous chaotic attractors (SCAs) with positive local transverse Lyapunov exponents are sensitive with respect to variations in the noise intensity. To quantitatively characterize such noise sensitivity, we generalized the method proposed in coupled one-dimensional noninvertible maps to coupled high-dimensional invertible systems. Thus, we introduce a quantifier, called the noise sensitivity exponent (NSE), to measure the "degree" of the noise sensitivity and to characterize the effect of noise on the bubbling and the riddling of a weakly stable SCA. Such a noise effect is found to be the same as the effect of parameter mismatch between subsystems.

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