Chaotic performance and circuitry implement of piecewise logistic-like mapping

Discrete chaotic systems are now a meaningful research area due to their intricate dynamical characteristics. This paper introduces a novel piecewise logistic-like mapping chaotic system and rigorously establishes its Devaney chaoticity through mathematical proofs. Experimental findings demonstrate that, compared to the traditional logistic mapping, the logistic-like mapping exhibits more complex dynamic behaviors, such as bifurcation diagram, Lyapunov exponents, permutation entropy, sensitivity, and distribution of function sequences. Furthermore, in order to implement the suggested new chaotic system, a simulation circuit is designed, and a PSIM simulation model is established to validate feasibility of the simulation circuit.