Although the multifractal singularity spectrum revealed the distribution of singularity exponent, it failed to consider the temporal information, therefore it is hard to describe the dynamic evolving process of non-stationary and nonlinear systems. In this paper, we aim for a multifractal...

In this paper, a generalized Kolmogorov–Sinai-like entropy (KSq entropy) in the sense of Tsallis is proposed with a nonextensive parameter q under Markov shifts, which contains the classical Kolmogorov–Sinai (KS) entropy and the Rényi entropy as well as Bernoulli shifts as special cases. To...