[HTML][HTML] 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 …

A fractional-order chaotic system with hidden attractor and self-excited attractor and its DSP implementation

T Liu, H Yan, S Banerjee, J Mou - Chaos, Solitons & Fractals, 2021 - Elsevier
The definition of fractional calculus is introduced into a 3D multi-attribute chaotic system in
this paper. The fractional multi-attribute chaotic system (FMACS) numerical solution is …

A higher dimensional chaotic map with discrete memristor

Y Peng, S He, K Sun - AEU-International Journal of Electronics and …, 2021 - Elsevier
Although memristor has been widely discussed in recent years, the topic of memristor in
discrete domain is rarely mentioned. This paper presents a higher dimensional chaotic map …

A discrete memristor model and its application in Hénon map

Y Peng, K Sun, S He - Chaos, Solitons & Fractals, 2020 - Elsevier
The realization of real memristor makes it be a very popular topic in recent years. However,
the topic about discrete memristor model is rarely discussed. In this paper, a discrete …

Chaotic flows with special equilibria

Z Wang, Z Wei, K Sun, S He, H Wang, Q Xu… - The European Physical …, 2020 - Springer
In this review, we categorize chaotic systems with special properties in their equilibrium into
eight groups: Systems with no equilibrium (NE), systems with stable equilibrium (SE) …

A new photosensitive neuron model and its dynamics

Y Liu, W Xu, J Ma, F Alzahrani, A Hobiny - Frontiers of Information …, 2020 - Springer
Biological neurons can receive inputs and capture a variety of external stimuli, which can be
encoded and transmitted as different electric signals. Thus, the membrane potential is …

Memristor initial-boosted coexisting plane bifurcations and its extreme multi-stability reconstitution in two-memristor-based dynamical system

H Bao, M Chen, HG Wu, BC Bao - Science China Technological Sciences, 2020 - Springer
Initial-dependent extreme multi-stability and offset-boosted coexisting attractors have been
significantly concerned recently. This paper constructs a novel five-dimensional (5-D) two …

Dynamical analysis of the improper fractional-order 2D-SCLMM and its DSP implementation

T Liu, S Banerjee, H Yan, J Mou - The European Physical Journal …, 2021 - epjplus.epj.org
In this paper, the definition of fractional calculus introduces a newly constructed discrete
chaotic map. Interestingly, when the order is extended to the improper fractional order, the …

Parameter identification for discrete memristive chaotic map using adaptive differential evolution algorithm

Y Peng, S He, K Sun - Nonlinear Dynamics, 2022 - Springer
Since the concept of discrete memristor was proposed, more and more scholars began to
study this topic. At present, most of works on the discrete memristor are devoted to the …

A non-autonomous mega-extreme multistable chaotic system

A Ahmadi, S Parthasarathy, H Natiq, S Jafari… - Chaos, Solitons & …, 2023 - Elsevier
Megastable and extreme multistable systems comprise two major new branches of
multistable systems. So far, they have been studied separately in various chaotic systems …