| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Fed Sao Paulo, Dept Fis, Campus Diadema, BR-09913030 Diadema, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | NONLINEAR DYNAMICS; v. 98, n. 1, p. 539-550, OCT 2019. |
| Web of Science Citations: | 0 |
| Abstract | |
We study the Kuramoto-Sakaguchi model composed by N identical phase oscillators symmetrically coupled. Ranging from local (one-to-one, R=1 couplings, we derive a general solution that describes the network dynamics close to an equilibrium. Therewith, we build stability diagrams according to N and R bringing to the light a rich scenery of attractors, repellers, saddles, and non-hyperbolic equilibriums. Our result also uncovers the obscure repulsive regime of the model through bifurcation analysis. Numerical simulations show great accordance with our analytical studies. The exact knowledge of the behavior close to equilibriums may be a fundamental step to investigate phenomena about synchronization in networks. As an example, in the end, we discuss the dynamics behind chimera states from our results. (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 |