A new locally active memristor and its chaotic system with infinite nested coexisting attractors

Dynamical analysis of a discrete Aihara neuron under a locally active memristor as electromagnetic radiation and its DSP implementation

“…Generally, LAM is able to produce more complex dynamical characteristics than passive memristor. A variety of local active memristor models have been designed and applied extensively [12][13][14][15]. Li et al constructed a trisable locally active memristor and applied it to a Hopfield neural network [12].…”

“…Li et al constructed a trisable locally active memristor and applied it to a Hopfield neural network [12]. Yan et al presented a new LAM model and derived its equivalent circuit, which was used to design a chaotic system that generated infinite coexisting attractors [13]. Xu et al Employed two locally active memristors to characterize the sodium and potassium ion channels and built a memristive neuromorphic circuit [14].…”

Dynamics of a fractional order locally-active Memristor with applications in oscillatory systems*

“…The locally-active memristor models in works like [27][28][29] are strictly in the form of equation (3) and exhibit bi-and tri-stability. There are however some other models that appear not to conform to equation (3) in that they involve using some other special mathematical functions (like hyperbolic functions in [30,31], sine and cosine forms in [32,33], the |x| function in [26,28] and the ( ) sgn x function in [34]) to realize their local-activity and bi-or tri-stability. These models obviously require complex circuit components to realize these special functions.…”