Non-Smooth Bifurcation in Two Fractional-Order Memristive Circuits
Yajuan Yu, Zaihua Wang
Abstract: The two fractional-order Chua’s memristive circuits named Model 1 and Model 2 are proposed. Model 1 is a fractional-order memristive circuit with only the memristor described by a fractional-order derivative due to the memory loss observed experimentally, while Model 2 is a direct fractional-order generalization of integer-order Chua’s memristive circuit without considering the physical background. Both models are non-smooth systems with a line equilibrium depending on the memristor’s initial state. Numerical simulation shows that both models exhibit multi-stability and different steady states switch via “grazing bifurcation” or “tangent bifurcation,” “intermittent chaos” is found in Model 1 as the fractional order is close to 0 or 1, but no “intermittent chaos” is found in Model 2 as the fractional order is between 0 and 1.
The Chua’s circuit with a fractional-order memristor
原文链接：https://link.springer.com/chapter/10.1007/978-3-030-34724-6_33
