Review on memristor application in neural circuit and network

F Yang, J Ma, F Wu - Chaos, Solitons & Fractals, 2024 - Elsevier
Memristor is a nonlinear electronic component with memory properties, it is widely used in a
variety of nonlinear circuits for extensive adaptive control and model description of neural …

Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion: Homoclinic orbits, and self-excited and hidden …

GA Leonov, NV Kuznetsov, TN Mokaev - The European Physical Journal …, 2015 - Springer
In this paper, we discuss self-excited and hidden attractors for systems of differential
equations. We considered the example of a Lorenz-like system derived from the well-known …

Hidden extreme multistability in memristive hyperchaotic system

BC Bao, H Bao, N Wang, M Chen, Q Xu - Chaos, Solitons & Fractals, 2017 - Elsevier
By utilizing a memristor to substitute a coupling resistor in the realization circuit of a three-
dimensional chaotic system having one saddle and two stable node-foci, a novel memristive …

Hidden attractors in dynamical systems

D Dudkowski, S Jafari, T Kapitaniak, NV Kuznetsov… - Physics Reports, 2016 - Elsevier
Complex dynamical systems, ranging from the climate, ecosystems to financial markets and
engineering applications typically have many coexisting attractors. This property of the …

Global stabilization of fractional-order memristor-based neural networks with time delay

J Jia, X Huang, Y Li, J Cao… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
This paper addresses the global stabilization of fractional-order memristor-based neural
networks (FMNNs) with time delay. The voltage threshold type memristor model is …

A novel simple chaotic circuit based on memristor–memcapacitor

X Ma, J Mou, J Liu, C Ma, F Yang, X Zhao - Nonlinear Dynamics, 2020 - Springer
In this paper, we focus on a novel simple chaotic circuit with a memristor, a memcapacitor
and a linear inductor in parallel. Then we establish the circuit's dimensionless mathematical …

Coexisting infinitely many attractors in active band-pass filter-based memristive circuit

B Bao, T Jiang, Q Xu, M Chen, H Wu, Y Hu - Nonlinear Dynamics, 2016 - Springer
This paper presents an inductor-free memristive circuit, which is implemented by linearly
coupling an active band-pass filter (BPF) with a parallel memristor and capacitor filter …

Analysis and adaptive control of a novel 3-D conservative no-equilibrium chaotic system

S Vaidyanathan, C Volos - Archives of Control Sciences, 2015 - infona.pl
First, this paper announces a seven-term novel 3-D conservative chaotic system with four
quadratic nonlinearities. The conservative chaotic systems are characterized by the …

[PDF][PDF] Adaptive synchronization of novel 3-D chemical chaotic reactor systems

S Vaidyanathan - parameters, 2015 - researchgate.net
Chaos theory has a manifold variety of applications in science and engineering. In this
paper, new chemical chaotic reactor equations are derived by modifying the chemical …

[PDF][PDF] Adaptive biological control of generalized Lotka-Volterra three-species biological system

S Vaidyanathan - International Journal of PharmTech Research, 2015 - researchgate.net
Recent research has shown the importance of biological control in many biological systems
appearing in nature. This paper investigates research in the dynamic and chaotic analysis of …