Afifurrahman, Afifurrahman (2020) Stability of synchronous states in sparse neuronal networks. Nonlinear Dynamics, 102 (102). pp. 733-743. ISSN 1573-269X

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Abstract

The stability of synchronous states is analyzed in the context of two populations of inhibitory and excitatory neurons, characterized by two different pulse-widths. The problem is reduced to that of determining the eigenvalues of a suitable class of sparse random matrices, randomness being a consequence of the network structure. A detailed analysis, which includes also the study of finite-amplitude perturbations, is performed in the limit of narrow pulses, finding that the overall stability depends crucially on the relative pulsewidth. This has implications for the overall property of the asynchronous (balanced) regime.

Item Type:	Article
Uncontrolled Keywords:	Stability analysis · Synchronization ·Neuronal network · Sparse network
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics 01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010204 Dynamical Systems in Applications
Divisions:	Fakultas Tarbiyah dan Keguruan > Jurusan Tadris Matematika
Depositing User:	Dr Afifurrahman Afifurrahman
Date Deposited:	08 May 2023 02:14
Last Modified:	14 Jun 2023 01:44
URI:	http://repository.uinmataram.ac.id/id/eprint/3009

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