Search Results - "Mehrabbeik, Mahtab"
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Synchronization in Hindmarsh-Rose neurons subject to higher-order interactions
Published in Chaos (Woodbury, N.Y.) (01-01-2022)“…Higher-order interactions might play a significant role in the collective dynamics of the brain. With this motivation, we here consider a simplicial complex of…”
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Synchronization in simplicial complexes of memristive Rulkov neurons
Published in Frontiers in computational neuroscience (31-08-2023)“…Simplicial complexes are mathematical constructions that describe higher-order interactions within the interconnecting elements of a network. Such higher-order…”
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Synchronization of a higher-order network of Rulkov maps
Published in Chaos (Woodbury, N.Y.) (01-12-2022)“…In neuronal network analysis on, for example, synchronization, it has been observed that the influence of interactions between pairwise nodes is essential…”
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The dynamics of a duopoly Stackelberg game with marginal costs among heterogeneous players
Published in PloS one (05-04-2023)“…One of the famous economic models in game theory is the duopoly Stackelberg model, in which a leader and a follower firm manufacture a single product in the…”
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Synchronization and chimera states in the network of electrochemically coupled memristive Rulkov neuron maps
Published in Mathematical biosciences and engineering : MBE (01-01-2021)“…Map-based neuronal models have received much attention due to their high speed, efficiency, flexibility, and simplicity. Therefore, they are suitable for…”
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Synchronization and multistability in a higher-order network of modulated laser models
Published in The European physical journal. ST, Special topics (2024)“…The study delves into higher-order networks, extending beyond pairwise connections, using modulated laser models, and employing simplicial complexes to model…”
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Critical slowing down indicators in synchronous period-doubling for salamander flicker vision
Published in The European physical journal. ST, Special topics (01-10-2021)“…Many dynamical systems, particularly biological ones, exhibit different regimes in which the dynamics of the system vary from one regime to another through a…”
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The Impact of Higher-Order Interactions on the Synchronization of Hindmarsh–Rose Neuron Maps under Different Coupling Functions
Published in Mathematics (Basel) (01-07-2023)“…In network analysis, links depict the connections between each pair of network nodes. However, such pairwise connections fail to consider the interactions…”
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A New Circumscribed Self-Excited Spherical Strange Attractor
Published in Complexity (New York, N.Y.) (2021)“…Studying new chaotic flows with specific characteristics has been an open-ended field of exploring nonlinear dynamics. Investigation of chaotic flows is an…”
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10
Higuchi fractal dimension is a unique indicator of working memory content represented in spiking activity of visual neurons in extrastriate cortex
Published in Mathematical biosciences and engineering : MBE (01-01-2023)“…Working memory has been identified as a top-down modulation of the average spiking activity in different brain parts. However, such modification has not yet…”
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Applying machine learning techniques to detect the deployment of spatial working memory from the spiking activity of MT neurons
Published in Mathematical biosciences and engineering : MBE (01-01-2023)“…Neural signatures of working memory have been frequently identified in the spiking activity of different brain areas. However, some studies reported no…”
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Fractional-Order Memristive Wilson Neuron Model: Dynamical Analysis and Synchronization Patterns
Published in Mathematics (Basel) (01-08-2022)“…Fractional nonlinear systems have been considered in many fields due to their ability to bring memory-dependent properties into various systems. Therefore,…”
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A Fractal Approach to Nonlinear Topographical Features of Healthy and Keratoconus Corneas Pre- and Post-Operation of Intracorneal Implants
Published in Fractal and fractional (01-11-2022)“…Fractal dimension (FD) together with advances in imaging technologies has provided an increasing application of digital images to interpret biological…”
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14
A simple three-dimensional quadratic flow with an attracting torus
Published in Physics letters. A (05-11-2022)Get full text
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15
The dynamical analysis of non-uniform neocortical network model in up-down state oscillations
Published in Chaos, solitons and fractals (01-03-2023)“…The brain is the most complex organ of the human body and consists of many excitatory and inhibitory neurons. The neural interactions are through synaptic…”
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16
Multistability and its dependence on the attractor volume
Published in Physics letters. A (15-10-2023)“…Multistability is an important concept that refers to the coexistence of multiple solutions. Although significant studies reported the emergence of…”
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Synchronization and multistability in a network of diffusively coupled laser models
Published in Communications in nonlinear science & numerical simulation (01-10-2023)“…Synchronization phenomena refer to the emergence of common temporal patterns among clusters of interacting units in a complex network. In information…”
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18
The simplest multilayer network of Rulkov neuron maps: A dynamical analysis under different neuronal interactions
Published in Europhysics letters (01-12-2022)“…Abstract Dynamical map-based networks have been considered in many scientific fields due to their exciting behaviors while they are of low computational costs…”
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Synchronization patterns in a network of diffusively delay-coupled memristive Chialvo neuron map
Published in Physics letters. A (05-08-2024)“…•A network comprising memristive Chialvo neuron models connected through diffusive delay couplings is thoroughly investigated.•Analytical and numerical…”
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The influence of synaptic pathways on the synchronization patterns of regularly structured mChialvo map network
Published in Journal of theoretical biology (07-09-2023)“…Synchronization of interconnecting units is one of the hottest topics many researchers are interested in. In addition, this emerging phenomenon is responsible…”
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