A review of chaotic systems based on memristive Hopfield neural networks

H Lin, C Wang, F Yu, J Sun, S Du, Z Deng, Q Deng - Mathematics, 2023 - mdpi.com
Since the Lorenz chaotic system was discovered in 1963, the construction of chaotic
systems with complex dynamics has been a research hotspot in the field of chaos. Recently …

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 …

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 …

Multiple attractors in a non-ideal active voltage-controlled memristor based Chua's circuit

Q Xu, Y Lin, B Bao, M Chen - Chaos, Solitons & Fractals, 2016 - Elsevier
Multiple attractors can be found in many nonlinear dynamical system with multistability.
Recently, experimental attractors with two stable saddle-foci were reported to find in a non …

Finite-time synchronization of memristor chaotic systems and its application in image encryption

L Wang, T Dong, MF Ge - Applied Mathematics and Computation, 2019 - Elsevier
This paper investigates the finite-time synchronization of memristor chaotic systems (MCSs).
First, an emulator circuit of memristor is designed to implement the MCSs. Then, based on …

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 …

Extreme multistability in a memristor-based multi-scroll hyper-chaotic system

F Yuan, G Wang, X Wang - Chaos: An Interdisciplinary Journal of …, 2016 - pubs.aip.org
In this paper, a new memristor-based multi-scroll hyper-chaotic system is designed. The
proposed memristor-based system possesses multiple complex dynamic behaviors …

A floating analog memristor emulator circuit

C Sánchez-López, J Mendoza-Lopez… - … on Circuits and …, 2014 - ieeexplore.ieee.org
This brief introduces a new floating memristor emulator circuit based on second-generation
current conveyors and passive elements. A mathematical model to characterize the …

A chaotic circuit based on a physical memristor

L Minati, LV Gambuzza, WJ Thio, JC Sprott… - Chaos, Solitons & …, 2020 - Elsevier
The memristor is a fundamental two-terminal electrical component unique in that it
possesses the properties of non-linearity and memory, which are pervasive across natural …

Hidden extreme multistability and dimensionality reduction analysis for an improved non-autonomous memristive FitzHugh–Nagumo circuit

H Bao, W Liu, M Chen - Nonlinear Dynamics, 2019 - Springer
Due to the introduction of ideal memristors, extreme multistability has been found in many
autonomous memristive circuits. However, such extreme multistability has not yet been …