Synchronization of a higher-order network of Rulkov maps

Author:

Mirzaei Simin1ORCID,Mehrabbeik Mahtab1ORCID,Rajagopal Karthikeyan23ORCID,Jafari Sajad14ORCID,Chen Guanrong5ORCID

Affiliation:

1. Department of Biomedical Engineering, Amirkabir University of Technology (Tehran Polytechnic), Tehran 159163-4311, Iran

2. Centre for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, India

3. Department of Electronics and Communications Engineering and University Centre for Research & Development, Chandigarh University, Mohali, Punjab 140413, India

4. Health Technology Research Institute, Amirkabir University of Technology (Tehran Polytechnic), Tehran 159163-4311, Iran

5. Department of Electrical Engineering, City University of Hong Kong, Hong Kong, China

Abstract

In neuronal network analysis on, for example, synchronization, it has been observed that the influence of interactions between pairwise nodes is essential. This paper further reveals that there exist higher-order interactions among multi-node simplicial complexes. Using a neuronal network of Rulkov maps, the impact of such higher-order interactions on network synchronization is simulated and analyzed. The results show that multi-node interactions can considerably enhance the Rulkov network synchronization, better than pairwise interactions, for involving more and more neurons in the network.

Funder

Chennai Institute of Technology

Publisher

AIP Publishing

Subject

Applied Mathematics,General Physics and Astronomy,Mathematical Physics,Statistical and Nonlinear Physics

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