Abstract

The explicit internal signal stochastic resonance (EISSR) that happened in the Willamowski–Rössler model was studied. EISSR is a cooperative effect of the intrinsic signal and external noise or internal fluctuation. Our studies have shown that EISSR can exist in the stable periodic-2 oscillation state. The output signal to noise ratio (SNR) of the strong signal (SS) versus noise intensity exhibits explicitly nonmonotonic character. The output SNR of the weak signal decreases with the increment of noise intensity. It is clear that EISSR can hold selectivity to the preponderant intrinsic signal when there are two intrinsic signals in the system. At the same time, the fundamental frequency of the SS almost does not alter. These properties imply that the system can resist to the effect of noise and sustain preponderant intrinsic oscillation by itself. Our results will be helpful to better understand circadian rhythm and signal detecting in creatures.

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