Embedding the Dynamics of Forced Nonlinear Systems in Multistable Memristor Circuits

A well-known feature of memristors is that they makes the circuit dynamics much richer than generated by classical $RLC$ circuits containing nonlinear resistors. In case with ideal memristors, such a multistability property, i.e., coexistence many different attractors for fixed set parameters, connected to fact state space composed continuum invariant manifolds where either convergent or oscillatory and more complex behaviors can be displayed. this paper we investigate possibility designing memristor known are embedded into manifolds. We consider class forced systems several which display dynamics, under conditions any given system reproduced two-terminal (one port) element flux-controlled memristor. It shown an input-less capable replicate varying constant forcing input, once parameters characteristic suitably selected. Indeed, there one-one correspondence between value input displayed on one circuit. Some extensions concerning non-constant terms use charge-controlled also provided. The results illustrated via FitzHugh-Nagumo model Duffing oscillator.