The continuous memristor is a popular topic of research in recent years, however, there is
rare discussion about the discrete memristor model, especially the locally active discrete …

Continuous memristor has been widely used in chaotic oscillating circuits and neuromorphic
computing systems. However, discrete memristor and its coupling discrete map have not …

With the rapid development of artificial intelligence, it has important theoretical and practical
significance to construct neural network models and study their dynamical behaviors. This …

In this article, sinusoidal functions are introduced to a discrete map for hyperchaos
generation and attractor self-reproduction. The constructed map shares a unique structure …

Local activity is regarded as the origin of complexity. In this study, a locally active memristor
with coexisting two stable pinched hysteresis loops and two local activity regions is …

With the nonlinearity and plasticity, memristors are widely used as nonlinear devices for
chaotic oscillations or as biological synapses for neuromorphic computations. But discrete …

Nowadays, there is a lot of study on memristor-based systems with multistability. However,
there is no study on memristor with multistability. This brief constructs a mathematical …

The theoretical, numerical and experimental demonstrations of firing dynamics in isolated
neuron are of great significance for the understanding of neural function in human brain. In …

In this paper, from a new perspective of flux and charge, we present in-depth analyses of two
ideal memristor emulators and the fifth-order memristive Chua's circuit constructed based on …

Building artificial neural network models and studying their dynamic behaviors is extremely
important from both a theoretical and practical standpoint due to the rapid advancement of …