Applying exponential unit for breaking symmetry of memristive maps DOI
Vo Phu Thoai, Christos Volos, Antonio Vincenzo Radogna

et al.

Physica Scripta, Journal Year: 2024, Volume and Issue: 99(2), P. 025244 - 025244

Published: Jan. 17, 2024

Abstract The emergence of memristors has piqued significant interest in memristive maps due to their unique characteristics. In this paper, we introduce a novel and effective method for constructing memristor maps, leveraging the power exponential units. Interestingly, incorporation these units disrupts symmetry alters count fixed points within map. is simple build with chaos higher order maps. These make our work different from existing methods. To demonstrate efficacy approach, have focused attention on examining dynamics, feasibility, practical applications specific map, referred as EPMM 1 Furthermore, show that by extending it becomes straightforward create other innovative including those multiple memristors.

Language: Английский

Collective dynamics of adaptive memristor synapse-cascaded neural networks based on energy flow DOI
Shaohua Zhang, Cong Wang, Hongli Zhang

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 186, P. 115191 - 115191

Published: June 28, 2024

Language: Английский

Citations

20
Generating multi-scroll chaotic attractor in a three-dimensional memristive neuron model DOI

Ruoyu Ding,

Han Bao, Ning Wang

et al.

Chinese Journal of Physics, Journal Year: 2024, Volume and Issue: 88, P. 1053 - 1067

Published: Feb. 9, 2024

Language: Английский

Citations

7
Reliability and energy function of an oscillator and map neuron DOI
Qun Guo,

Guodong Ren,

Chunni Wang

et al.

Biosystems, Journal Year: 2025, Volume and Issue: 251, P. 105443 - 105443

Published: March 3, 2025

Language: Английский

Citations

1
Assessing sigmoidal function on memristive maps DOI Creative Commons
Vo Phu Thoai, Viet–Thanh Pham, Giuseppe Grassi

et al.

Heliyon, Journal Year: 2024, Volume and Issue: 10(6), P. e27781 - e27781

Published: March 1, 2024

Memristors offer a crucial element for constructing discrete maps that have garnered significant attention in complex dynamics and various potential applications. In this study, we integrated memristive sigmoidal function to propose innovative mapping techniques. Our research confirms the amalgamation of memristor functions represents promising approach creating both 2D 3D maps. Particularly noteworthy are chaotic featuring multiple memristors, as highlighted our findings. Specifically focusing on novel STMM1 map, delve into its assess feasibility. Intriguingly, introduction leads alterations quantity fixed points symmetry map.

Language: Английский

Citations

6
Complete synchronization of three-layer Rulkov neuron network coupled by electrical and chemical synapses DOI Open Access
Penghe Ge, Libo Cheng, Hongjun Cao

et al.

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2024, Volume and Issue: 34(4)

Published: April 1, 2024

This paper analyzes the complete synchronization of a three-layer Rulkov neuron network model connected by electrical synapses in same layers and chemical between adjacent layers. The outer coupling matrix is not Laplacian as linear networks. We develop master stability function method, which invariant manifold equations (MSEs) does correspond to zero eigenvalues connection matrix. After giving existence conditions about nonlinear coupling, we investigate dynamics manifold, will be identical that synchronous fixing parameters initial values. waveforms show transient chaotic windows approximate periodic with increased or decreased periods occur alternatively before asymptotic behaviors. Furthermore, Lyapunov exponents MSEs indicate can achieve synchronization, while not. Finally, simulate effects small perturbations on regimes evolution routes for non-synchronous network.

Language: Английский

Citations

6
Analysis of memristive maps with asymmetry DOI
Viet–Thanh Pham, Andrei Velichko, Van Van Huynh

et al.

Integration, Journal Year: 2023, Volume and Issue: 94, P. 102110 - 102110

Published: Nov. 9, 2023

Language: Английский

Citations

9
A Memristive Neuron with Nonlinear Membranes and Network Patterns DOI

Binchi Wang,

Yaquan Wang, Xiaofeng Zhang

et al.

Published: Jan. 1, 2025

Memristor-coupled nonlinear circuits can replicate biological neuron firing patterns by incorporating memristive and magnetic flux variables to model electromagnetic induction. Traditional models with single capacitive fail capture the material properties field differences of cell membranes. This work proposes a neural circuit dual capacitors, resistor, flux-controlled memristor (MFCM) in parallel, driven phototube simulate illumination. The accounts for dynamics double-layer membranes exhibits energy-defined behaviors. Photocurrent fully controls modes, stochastic resonance analyzed via coefficient variability energy distributions under noise. An adaptive growth law modulates membrane capacitance ratios, enabling mode transitions shifts. In network, control coupling bifurcation parameters induces stable target waves, effectively regulating collective dynamics. study highlights neurons' potential mimicking complex behaviors network

Language: Английский

Citations

0
Collective dynamics of a coupled Hindmarsh–Rose neurons with locally active memristor DOI
Sathiyadevi Kanagaraj, Premraj Durairaj,

Sivaperumal Sampath

et al.

Biosystems, Journal Year: 2023, Volume and Issue: 232, P. 105010 - 105010

Published: Aug. 24, 2023

Language: Английский

Citations

6
Applying exponential unit for breaking symmetry of memristive maps DOI
Vo Phu Thoai, Christos Volos, Antonio Vincenzo Radogna

et al.

Physica Scripta, Journal Year: 2024, Volume and Issue: 99(2), P. 025244 - 025244

Published: Jan. 17, 2024

Abstract The emergence of memristors has piqued significant interest in memristive maps due to their unique characteristics. In this paper, we introduce a novel and effective method for constructing memristor maps, leveraging the power exponential units. Interestingly, incorporation these units disrupts symmetry alters count fixed points within map. is simple build with chaos higher order maps. These make our work different from existing methods. To demonstrate efficacy approach, have focused attention on examining dynamics, feasibility, practical applications specific map, referred as EPMM 1 Furthermore, show that by extending it becomes straightforward create other innovative including those multiple memristors.

Language: Английский

Citations

0