| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Humboldt Univ, Inst Phys, D-12489 Berlin - Germany
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | European Physical Journal-Special Topics; v. 230, n. 14-15, p. 2717-2724, OCT 2021. |
| Web of Science Citations: | 1 |
| Abstract | |
Focusing on systems of sinusoidally coupled active rotators, we study the emergence and stability of periodic collective oscillations for systems of identical excitable units with repulsive all-to-all interaction. Special attention is put on splay states and two-cluster states. Recently, it has been shown that one-parameter families of such systems, containing the parameter values at which the Watanabe-Strogatz integrability takes place, feature an instantaneous non-local exchange of stability between splay and two-cluster states. Here, we illustrate how in the extended families that circumvent the Watanabe-Strogatz dynamics, this abrupt transition is replaced by the ``gradual transfer{''} of stability between the 2-cluster and the splay states, mediated by mixed-type solutions. We conclude our work by recovering the same kind of dynamics and transfer of stability in an ensemble of voltage-coupled Morris-Lecar neurons. (AU) | |
| FAPESP's process: | 15/50122-0 - Dynamic phenomena in complex networks: basics and applications |
| Grantee: | Elbert Einstein Nehrer Macau |
| Support Opportunities: | Research Projects - Thematic Grants |