Synchronization in Hindmarsh–Rose neurons subject to higher-order interactions

Parastesh, Fatemeh; Mehrabbeik, Mahtab; Rajagopal, Karthikeyan; Jafari, Sajad; Perc, Matjaž

doi:10.1063/5.0079834

Cited by 107 publications

(29 citation statements)

References 42 publications

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“…The process of cluster synchronization is investigated in such a system through the analysis of a hypernetwork Laplacian for different chaotic discrete dynamical systems. Very recently, in [ 78 ] the authors consider three-body interactions along with the dyadic couplings for an interacting Hindmarsh–Rose neuronal model while deriving the necessary conditions for the emergence of synchrony by means of linear stability analysis.…”

Section: Synchronizationmentioning

confidence: 99%

Dynamics on higher-order networks: a review

Majhi

Perc

Ghosh

2022

J. R. Soc. Interface.

277

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Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions. Higher-order networks, where a link can connect more than two nodes, have therefore emerged as a new frontier in network science. Since group interactions are common in social, biological and technological systems, higher-order networks have recently led to important new discoveries across many fields of research. Here, we review these works, focusing in particular on the novel aspects of the dynamics that emerges on higher-order networks. We cover a variety of dynamical processes that have thus far been studied, including different synchronization phenomena, contagion processes, the evolution of cooperation and consensus formation. We also outline open challenges and promising directions for future research.

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Section: Synchronizationmentioning

confidence: 99%

Dynamics on higher-order networks: a review

Majhi

Perc

Ghosh

2022

J. R. Soc. Interface.

277

View full text Add to dashboard Cite

show abstract

“…Very recently, in the Ref. [78] the authors consider three-body interactions along with the dyadic couplings for interacting Hindmarsh-Rose neuronal model while deriving the necessary conditions for the emergence of synchrony by means of linear stability analysis.…”

Section: Synchronizationmentioning

confidence: 99%

Dynamics on higher-order networks: A review

Majhi,

Perc,

Ghosh

2022

Preprint

View full text Add to dashboard Cite

Network science has evolved into an indispensable platform for studying complex systems. But recent research has identified limits of classical networks, where links connect pairs of nodes, to comprehensively describe group interactions. Higher-order networks, where a link can connect more than two nodes, have therefore emerged as a new frontier in network science. Since group interactions are common in social, biological, and technological systems, higher-order networks have recently led to important new discoveries across many fields of research. We here review these works, focusing in particular on the novel aspects of the dynamics that emerges on higher-order networks. We cover a variety of dynamical processes that have thus far been studied, including different synchronization phenomena, contagion processes, the evolution of cooperation, and consensus formation. We also outline open challenges and promising directions for future research.

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“…Functional performances of a wide range of real-world complex systems, such as Brain, social and technological systems, are driven by underlying simplicial complexes defining higher-order interactions [1][2][3][4]. A simplicial complex of order one denotes pair-wise interactions between a pair of nodes.…”

Section: Introductionmentioning

confidence: 99%

Multiple synchronization transitions in simplicial complexes on multilayer networks

Jalan¹,

Suman²

2022

Preprint

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The presence of higher-order interactions (simplicial complexes) in networks and certain types of multilayer networks has shown to lead to the abrupt first-order transition to synchronization. We discover that simplicial complexes on multilayer networks can yield multiple basins of attraction, leading to multiple routes to the abrupt first-order transition to synchronization. Using the Ott-Antonsen approach, we develop an analytical framework for simplicial complexes on multilayer networks, which thoroughly explains the origin and stability of all possible dynamical states, including multiple synchronization transitions, of the associated coupled dynamics. The study illustrating rich dynamical behaviours could be pivotal to comprehending the impacts of higher-order interactions on dynamics of complex real-world networks, such as brain, social and technological, which have inherent multilayer networks architecture.

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Synchronization in Hindmarsh–Rose neurons subject to higher-order interactions

Cited by 107 publications

References 42 publications

Dynamics on higher-order networks: a review

Dynamics on higher-order networks: a review

Dynamics on higher-order networks: A review

Multiple synchronization transitions in simplicial complexes on multilayer networks

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