Dynamical complexity in an asymmetric bistable system via statistical complexity measures
Abstract
The dynamical complexity is quantified by the statistical complexity and the normalized Shannon entropy in an asymmetric bistable system subject to multiplicative colored and additive white noises. The total statistical complexity and the total normalized Shannon entropy of the system are calculated based on Bandt-Pompe methodology. Because of the asymmetry of the potential, the statistical complexity and the normalized Shannon entropy in two different potential wells of the system are also obtained, respectively. Then, the effects of potential asymmetry, additive white and multiplicative colored noises and periodic signal on the dynamical complexity of the system are discussed in detail. It can be seen from the results that the trends of the curves of the statistical complexity and the normalized Shannon entropy of the system are different from those of two potential wells of the system when changing the parameters of the system.
