On the analysis of a heterogeneous coupled network of memristive Chialvo neurons

Nonlinear Dynamics, Journal Year: 2023, Volume and Issue: 111(18), P. 17499 - 17518

Published: July 28, 2023

Abstract We perform a numerical study on the application of electromagnetic flux heterogeneous network Chialvo neurons represented by ring-star topology. Heterogeneities are realized introducing additive noise modulations both central–peripheral and peripheral–peripheral coupling links in topology not only varying space but also time. The variation time is understood two probabilities, one for connections other connections, respectively, that update with each iteration have further reported various rich spatiotemporal patterns like two-cluster states, chimera coherent, asynchronized states arise throughout dynamics. investigated appearance special kind asynchronization behavior called “solitary nodes” wide range applications pertaining to real-world nervous systems. In order characterize nodes under influence these heterogeneities, we studied different metrics “cross-correlation coefficient” “synchronization error.” Additionally, capture statistical property network, example, how complex system behaves, measure “sample entropy.” Various two-dimensional color-coded plots presented exhibit metrics/measures behave parameters.

Language: Английский

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Survey of Recent Applications of the Chaotic Lozi Map

Algorithms, Journal Year: 2023, Volume and Issue: 16(10), P. 491 - 491

Published: Oct. 22, 2023

Since its original publication in 1978, Lozi’s chaotic map has been thoroughly explored and continues to be. Hundreds of publications have analyzed particular structure applied properties many fields (e.g., improvement physical devices, electrical components such as memristors, cryptography, optimization, evolutionary algorithms, synchronization, control, secure communications, AI with swarm intelligence, chimeras, solitary states, etc.) through algorithms the COLM algorithm (Chaotic Optimization based on Lozi Map), Particle Swarm (PSO), Differential Evolution (DE). In this article, we present a survey dozens articles use aimed at real applications or exploring new directions dynamical systems chimeras states.

Language: Английский

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Controlling spatiotemporal dynamics of neural networks by Lévy noise

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

Published: April 1, 2024

We explore numerically how additive Lévy noise influences the spatiotemporal dynamics of a neural network nonlocally coupled FitzHugh–Nagumo oscillators. Without noise, can exhibit various partial or cluster synchronization patterns, such as chimera and solitary states, which also coexist in for certain values control parameters. Our studies show that these structures demonstrate different responses to and, thus, be effectively controlled by varying scale parameter stability index noise. Specifically, introducing multistability mode increase probability observing states while suppressing states. Nonetheless, decreasing enables one diminish effect on amplify it

Language: Английский

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Peculiarities of the spatio-temporal dynamics of a Hénon–Lozi map network in the presence of Lévy noise

Chaos Solitons & Fractals, Journal Year: 2024, Volume and Issue: 184, P. 115051 - 115051

Published: May 27, 2024

Language: Английский

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Chimera resonance in networks of chaotic maps

Chaos An Interdisciplinary Journal of Nonlinear Science, Journal Year: 2023, Volume and Issue: 33(9)

Published: Sept. 1, 2023

We explore numerically the impact of additive Gaussian noise on spatiotemporal dynamics ring networks nonlocally coupled chaotic maps. The local network nodes is described by logistic map, Ricker and Henon map. 2D distributions probability observing chimera states are constructed in terms coupling strength intensity for several choices parameters. It shown that range can be widest at a certain optimum level which observed with high large number different realizations randomly distributed initial conditions sources. This phenomenon demonstrates constructive role analogy effects stochastic coherence resonance may referred to as resonance.

Language: Английский

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The stratification and invariant region of chaotic sea in an area-preserving Lozi map

Research Square (Research Square), Journal Year: 2023, Volume and Issue: unknown

Published: March 29, 2023

Abstract In this paper, we study the hierarchical structure of a chaotic sea and existence condition delimitation method island chain for Lozi map. The regular chains associated with elliptic periodic points in are investigated by theory presented [15]. A determining boundaries is introduced. Multiple layers found which dependent on initial values. layer boundary presented. We that critical line plays an important role sea. also prove all trajectories symmetric respect to diagonal dividing second fourth quadrants.

Language: Английский

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Influence of additive noise on chimera and solitary states in neural networks

Izvestiya VUZ Applied Nonlinear Dynamics, Journal Year: 2023, Volume and Issue: unknown

Published: Dec. 21, 2023

The purpose of this work is to study numerically the influence additive white Gaussian noise on dynamics a network nonlocally coupled neuron models which are represented by FitzHugh–Nagumo oscillators. Depending coupling parameters between individual elements can demonstrate various spatio-temporal structures, such as chimera states, solitary states and regimes their coexistence (combined structures). These patterns exhibit different responses against influences. Methods. explored calculating plotting snapshots (instantaneous spatial distributions coordinate values at fixed time), space-time diagrams, projections multidimensional attractors, mean phase velocity profiles, (profiles) cross-correlation coefficient values. We also evaluate averaged over network, number nodes probability settling structures in neuronal presence noise. Results. It has been shown that decrease combined while observing arises up 100%. In noisy oscillators exhibiting regime increasing intensity leads, general case, interval parameter within observed. However, there finite region plane, inside grow Conclusion. have studied impact coexist multistability region, models. established represent more stable dominating among other coexisting network. At same time, only, existence plane generally when increases.

Language: Английский

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On the analysis of a heterogeneous coupled network of memristive Chialvo neurons.

Research Square (Research Square), Journal Year: 2023, Volume and Issue: unknown

Published: March 27, 2023

Abstract We perform a numerical study on the application of electromagnetic flux heterogeneous network Chialvo neurons represented by ring-star topology. Heterogeneities are realized introducing additive noise modulations both central-peripheral and peripheral-peripheral coupling links in topology not only varying space but also time. The variation time is understood two probabilities, one for connections other respectively, that update with each iteration have further reported rich spatiotemporal patterns like two-cluster states, chimera coherent, asynchronized states arise throughout dynamics. investigated appearance special kind asynchronization behavior called "solitary nodes" wide range applications pertaining to real-world nervous systems. In order characterize nodes under influence these heterogeneities, we studied different metrics "cross-correlation coefficient" "synchronization error". Additionally, capture statistical property network, example, how complex system behaves, measure "sample entropy". Various two-dimensional color-coded plots presented exhibit metrics/measures behave parameters.

Language: Английский

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Orbital Characteristics Related to Parabolic and Hyperbolic Periodic Points in Lozi Area-Preserving Map

Applied Physics, Journal Year: 2023, Volume and Issue: 13(11), P. 453 - 464

Published: Jan. 1, 2023

Language: Английский

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