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 |
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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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