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Article overview
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Coexistence of regular and irregular dynamics in complex networks of pulse-coupled oscillators | | Marc Timme
; Fred Wolf
; Theo Geisel
; | | Date: |
12 Jul 2002 | | Journal: | Phys. Rev. Lett. 89, 258701 (2002) | | Subject: | Disordered Systems and Neural Networks; Neurons and Cognition | cond-mat.dis-nn q-bio.NC | | Abstract: | For general networks of pulse-coupled oscillators, including regular, random, and more complex networks, we develop an exact stability analysis of synchronous states. As opposed to conventional stability analysis, here stability is determined by a multitude of linear operators. We treat this multi-operator problem analytically and show that for inhibitory interactions the synchronous state is stable, independent of the parameters and the network connectivity. In randomly connected networks with strong interactions this synchronous state, displaying extit{regular} dynamics, coexists with a balanced state that exhibits extit{irregular} dynamics such that external signals may switch the network between qualitatively distinct states. | | Source: | arXiv, cond-mat/0207313 | | Other source: | [GID 211509] pmid12484926 | | Services: | Forum | Review | PDF | Favorites | |
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