Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons

Hussain, Iqtadar; Jafari, Sajad; Ghosh, Dibakar; Perc, Matjaž

doi:10.1007/s11071-021-06427-x

Cited by 84 publications

(13 citation statements)

References 43 publications

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“…Recently, chimera or chimeralike states in neuronal networks have attracted great attentions, and rich interesting phenomena are reported [29][30][31][32]. For example, Wang et al found the chimeras in an adaptive neuronal network with burst-timing-dependent plasticity [29].…”

Section: Introductionmentioning

confidence: 99%

“…For example, Wang et al found the chimeras in an adaptive neuronal network with burst-timing-dependent plasticity [29]. Hussain et al first identified the chimeras in a network of photosensitive FitzHugh-Nagumo neurons [30], and then discovered the chimera states in a multi-weighted neuronal network [32]. Furthermore, for practical applications, the robustness and control of chimera states are also important issues [33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

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Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators

Zhang,

Chen,

Liu

et al. 2024

New J. Phys.

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An interesting alternate attractor chimeralike state can self-organize to emerge on rings of chaotic Lorenz-type oscillators. The local dynamics of any two neighboring oscillators can spontaneously change from the chaotic butterfly-like attractors to the two symmetric and converse ones, which forms alternate attractors on the ring. This is distinctly different from the traditional chimera states with unique local attractor. An effective driven-oscillator approach is proposed to reveal the mechanism in forming this new oscillation mode and predict the critical coupling strengths for the emergence of the new oscillation mode. The existence of a pair of converse focus solutions with respect to the external drive is found to be the key factor responsible for the alternate attractor chimeralike state. The linear feedback control scheme is introduced to control the suppression and reproduction of alternate attractor chimeralike state. These findings may shed light on a new perspective of the studies and applications of chimera dynamics in complex systems.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators

Zhang,

Chen,

Liu

et al. 2024

New J. Phys.

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“…However, the chimera refers to the state in which oscillators split into coherent and incoherent groups [41]. These neuronal collective behaviors have been studied in numerous flowbased [42][43][44], and also map-based, neuronal models [45][46][47].…”

Section: Introductionmentioning

confidence: 99%

A New Memristive Neuron Map Model and Its Network’s Dynamics under Electrochemical Coupling

Ramakrishnan¹,

Mehrabbeik

Parastesh

et al. 2022

Electronics

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A memristor is a vital circuit element that can mimic biological synapses. This paper proposes the memristive version of a recently proposed map neuron model based on the phase space. The dynamic of the memristive map model is investigated by using bifurcation and Lyapunov exponents’ diagrams. The results prove that the memristive map can present different behaviors such as spiking, periodic bursting, and chaotic bursting. Then, a ring network is constructed by hybrid electrical and chemical synapses, and the memristive neuron models are used to describe the nodes. The collective behavior of the network is studied. It is observed that chemical coupling plays a crucial role in synchronization. Different kinds of synchronization, such as imperfect synchronization, complete synchronization, solitary state, two-cluster synchronization, chimera, and nonstationary chimera, are identified by varying the coupling strengths.

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“…Chimera states refer to a dynamic scenario where coherent and incoherent oscillators coexist in the system. Such type of dynamics has been studied substantially in various neuronal networks [15], including uncoupled neurons with a multilayer structure [16] and photosensitive FitzHugh-Nagumo neurons [17]. Recently, it has been argued that chimera states share similar properties with brain dynamics such as unihemispheric sleep and seizure onset [18,19].…”

Section: Introductionmentioning

confidence: 99%

Functional modular organization unfolded by chimera-like dynamics in a large-scale brain network model

Liu

Ying

Wang

2022

Sci. China Technol. Sci.

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The brain is organized as a complex network architecture, which can be mapped into structural (SC) and functional connectivity (FC) by advanced neuroimaging techniques. Achievements in brain network research have revealed that modularity is a universal trait in brain networks and may be vital for cognitive segregation and integration. Large-scale brain network modeling is a promising computational approach to combine neuroimaging data with generative rules for brain dynamics. Recently, it has been proposed that chimera states, a type of dynamics referring to the coexistence of coherent and incoherent participants, have traits in common with cognitive functions like segregated and integrated brain processing. Previous studies have reported the existence of chimera-like dynamics in large-scale brain network models, whereas they did not account for the relationship between chimeralike dynamics and corresponding functional modular organizations of the brain network. By specifying qualitatively different network dynamics in an anatomically-constrained brain network model, we compare the different modular organizations of FC unfolded by network dynamics. Our simulations reveal that chimera-like dynamics support a meaningful pattern of functional modular organization, which promotes a diversity of node roles with a distributed pattern of functional cartography. The distinct node roles in modular FC are also found to occur with a spatial preference in specific brain regions, and, to some extent, reflect the underlying structure constraints. Our results support the view that chimera-like dynamics is a functionally meaningful scenario that may play a fundamental role in the segregation and integration of brain functioning.

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Synchronization and chimeras in a network of photosensitive FitzHugh–Nagumo neurons

Cited by 84 publications

References 43 publications

Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators

Alternate attractor chimeralike states on rings of chaotic Lorenz-type oscillators

A New Memristive Neuron Map Model and Its Network’s Dynamics under Electrochemical Coupling

Functional modular organization unfolded by chimera-like dynamics in a large-scale brain network model

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