Physics Letters A, Journal Year: 2023, Volume and Issue: 464, P. 128693 - 128693
Published: Feb. 10, 2023
Language: Английский
Physics Letters A, Journal Year: 2023, Volume and Issue: 464, P. 128693 - 128693
Published: Feb. 10, 2023
Language: Английский
Mathematics, Journal Year: 2023, Volume and Issue: 11(6), P. 1369 - 1369
Published: March 11, 2023
Since the Lorenz chaotic system was discovered in 1963, construction of systems with complex dynamics has been a research hotspot field chaos. Recently, memristive Hopfield neural networks (MHNNs) offer great potential design complex, because their special network structures, hyperbolic tangent activation function, and memory property. Many based on MHNNs have proposed exhibit various dynamical behaviors, including hyperchaos, coexisting attractors, multistability, extreme multi-scroll multi-structure initial-offset behaviors. A comprehensive review MHNN-based become an urgent requirement. In this review, we first briefly introduce basic knowledge Hopfiled network, memristor, dynamics. Then, different modeling methods are analyzed discussed. Concurrently, pioneering works some recent important papers related to reviewed detail. Finally, survey progress for application scenarios. Some open problems visions future presented. We attempt provide reference resource both chaos researchers those outside who hope apply particular application.
Language: Английский
Citations
88Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2023, Volume and Issue: 33(2)
Published: Feb. 1, 2023
Connecting memristors into any neural circuit can enhance its potential controllability under external physical stimuli. Memristive current along a magnetic flux-controlled memristor estimate the effect of electromagnetic induction on circuits and neurons. Here, charge-controlled is incorporated one branch simple to an electric field. The field energy kept in each component respectively calculated, equivalent dimensionless function H obtained discern firing mode dependence from capacitive, inductive, memristive channels. HM channel occupies highest proportion Hamilton H, neurons present chaotic/periodic modes because large injection field, while bursting spiking behaviors emerge when HL holds maximal H. modified control this neuron accompanying with parameter shift shape deformation resulting accommodation channel. In presence noisy disturbance stochastic resonance induced neuron. Exposed stronger absorb more behave as signal source for shunting, negative new model address main properties biophysical neurons, it further be used explore collective self-organization networks flow disturbance.
Language: Английский
Citations
85Nonlinear Dynamics, Journal Year: 2023, Volume and Issue: 111(9), P. 8737 - 8749
Published: Feb. 1, 2023
Language: Английский
Citations
68Chaos Solitons & Fractals, Journal Year: 2023, Volume and Issue: 172, P. 113627 - 113627
Published: June 7, 2023
Language: Английский
Citations
67Nonlinear Dynamics, Journal Year: 2023, Volume and Issue: 111(21), P. 20447 - 20463
Published: Oct. 5, 2023
Language: Английский
Citations
54Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: 112(9), P. 7541 - 7553
Published: March 11, 2024
Language: Английский
Citations
33Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 179, P. 114458 - 114458
Published: Jan. 12, 2024
Language: Английский
Citations
30Journal of Zhejiang University. Science A, Journal Year: 2024, Volume and Issue: 25(5), P. 382 - 394
Published: April 3, 2024
Language: Английский
Citations
28Nonlinear Dynamics, Journal Year: 2024, Volume and Issue: 112(9), P. 7459 - 7475
Published: March 19, 2024
Language: Английский
Citations
27Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(3)
Published: March 1, 2024
The functional networks of the human brain exhibit structural characteristics a scale-free topology, and these neural are exposed to electromagnetic environment. In this paper, we consider effects magnetic induction on synchronous activity in biological networks, effect is evaluated by four-stable discrete memristor. Based Rulkov neurons, network model established. Using initial value strength as control variables, numerical simulations carried out. research reveals that exhibits multiple coexisting behaviors, including resting state, period-1 bursting synchronization, asynchrony, chimera states, which dependent different values multi-stable addition, observe can either enhance or weaken synchronization when parameters neurons vary. This investigation significant importance understanding adaptability organisms their
Language: Английский
Citations
26