Simple memristive chaotic systems with complex dynamics

The exploration of memristive chaotic systems (MCSs) has been a prominent area of research due to the inherent richness of their dynamical characteristics. The objective of this paper is to propose two chaotic systems, derived from a common basic system, which also exhibit distinct characteristics such as coexisting attractors and robustness of chaos while maintaining the common attributes of multi-parameter amplitude modulation and large-scale offset boosting. The evolution process of MCSs' dynamical behavior with changes to parameters and initial values is described in detail through the analysis of bifurcation diagrams, Lyapunov exponents (LEs), and phase projections. Furthermore, the findings of the numerical simulations are validated by circuit implementations, thereby providing additional confirmation of the existence of the two memristive chaotic systems constructed and their potential for practical applications. © 2024 Elsevier B.V.