Stability of synchronization manifolds and its nonlinear behaviour in memristive coupled discrete neuron model DOI

Dianavinnarasi Joseph,

Suresh Kumarasamy, Sayooj Aby Jose

et al.

Cognitive Neurodynamics, Journal Year: 2024, Volume and Issue: 18(6), P. 4089 - 4099

Published: Nov. 14, 2024

Language: Английский

Two simple memristive maps with adaptive energy regulation and digital signal process verification DOI
Feifei Yang, Lujie Ren, Jun Ma

et al.

Journal of Zhejiang University. Science A, Journal Year: 2024, Volume and Issue: 25(5), P. 382 - 394

Published: April 3, 2024

Language: Английский

Citations

25

An adaptive energy regulation in a memristive map linearized from a circuit with two memristive channels DOI Open Access
Feifei Yang,

Ping Zhou,

Jun Ma

et al.

Communications in Theoretical Physics, Journal Year: 2024, Volume and Issue: 76(3), P. 035004 - 035004

Published: Feb. 5, 2024

Abstract Nonlinear circuits can show multistability when a magnetic flux-dependent memristor (MFDM) or charge-sensitive (CSM) is incorporated into one branch circuit, which helps estimate electric field effects. In this paper, two different kinds of memristors are composed capacitor and nonlinear resistor, thus memristive circuit with double channels designed. The equations presented, the dynamics in oscillator terms discussed. Then, converted map by applying linear transformation on sampled time series for oscillator. Hamilton energy function obtained using Helmholtz theorem, it be mapped from circuit. An dual suggested imposing suitable weights discrete function. dynamical behaviors new investigated, an adaptive law proposed to regulate firing mode map. This work will provide theoretical basis experimental guidance oscillator-to-map calculation.

Language: Английский

Citations

21

A memristive map neuron under noisy electric field DOI
Feifei Yang, Xinlin Song, Jun Ma

et al.

Chinese Journal of Physics, Journal Year: 2024, Volume and Issue: 91, P. 287 - 298

Published: July 25, 2024

Language: Английский

Citations

21

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

Energy and self-adaption in a memristive map neuron DOI
Junen Jia, Chunni Wang,

Xiaofeng Zhang

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 182, P. 114738 - 114738

Published: March 19, 2024

Language: Английский

Citations

19

Firing behaviors of memristor-based Rulkov neuron map using energy method DOI
B. J. Liu, Xuenan Peng, Chunlai Li

et al.

AEU - International Journal of Electronics and Communications, Journal Year: 2024, Volume and Issue: 178, P. 155283 - 155283

Published: April 11, 2024

Language: Английский

Citations

9

Coherence resonance and energy dynamics in a memristive map neuron DOI
Zhao Lei, Jun Ma

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2025, Volume and Issue: 35(2)

Published: Feb. 1, 2025

Nonlinear circuits can be tamed to produce similar firing patterns as those detected from biological neurons, and some suitable neural obtained propose reliable neuron models. Capacitor C inductor L contribute energy storage while resistors consume energy, the time constant RC or L/R provides a reference scale for responses. The inclusion of memristors introduces memory effects by coupling flow with historical states circuit. A nonlinear resistor nonlinearity, enriching circuit's dynamic characteristics. In this work, circuit is constructed one branch contains voltage source E. relation between physical variables confirmed memristive oscillator an exact function proposed. Furthermore, equivalent map derived when linear transformation applied sampled oscillator-like neuron. calculated following Helmholtz's theorem, expressed description. It found that periodic state higher than chaotic state, which highlights key role in mode conversion. Noise-induced coherence resonance stochastic induced under external field. adaptive control mechanism influenced Hamilton investigated, revealing its impact on transitions. These findings bridge gap design modeling, providing theoretical insights into applications neuromorphic computing, signal processing, energy-efficient systems.

Language: Английский

Citations

1

Energy variation rate synchronization for coupled chaotic systems DOI

Yao Zhao,

Kehui Sun, Shaobo He

et al.

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 184, P. 114970 - 114970

Published: May 15, 2024

Language: Английский

Citations

8

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

Dynamics and synchronization of neural models with memristive membranes under energy coupling DOI Creative Commons

Jingyue 婧玥 Wan 万,

Fuqiang 富强 Wu 吴,

Jun 军 Ma 马

et al.

Chinese Physics B, Journal Year: 2024, Volume and Issue: 33(5), P. 050504 - 050504

Published: Jan. 12, 2024

Dynamical modeling of neural systems plays an important role in explaining and predicting some features biophysical mechanisms. The electrophysiological environment inside outside the nerve cell is different. Due to continuous periodical properties electromagnetic fields during its operation, electronic components involving two capacitors a memristor are effective mimicking these physical features. In this paper, circuit reconstructed by connected with mem-conductance. It found that memristive can present abundant firing patterns without stimulus. Hamilton energy function deduced using Helmholtz theorem. Further, neuronal network consisting neurons proposed introducing coupling. controllability flexibility parameters give model ability describe dynamics synchronization behavior system.

Language: Английский

Citations

5