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- Title
Phase-locked solutions and their stability in the presence of propagation delays.
- Authors
SETHIA, GAUTAM; SEN, ABHIJIT; ATAY, FATIHCAN
- Abstract
We investigate phase-locked solutions of a continuum field of nonlocally coupled identical phase oscillators with distance-dependent propagation delays. Equilibrium relations for both synchronous and travelling wave solutions in the parameter space characterizing the nonlocality and time delay are delineated. For the synchronous states a comprehensive stability diagram is presented that provides a heuristic synchronization condition as well as an analytic relation for the marginal stability curve. The relation yields simple stability expressions in the limiting cases of local and global coupling of phase oscillators.
- Subjects
CONTINUUM mechanics; PARAMETRONS; PHASE equilibrium; NUMERICAL solutions to wave equations; HEURISTIC algorithms; SYNCHRONIZATION
- Publication
Pramana: Journal of Physics, 2011, Vol 77, Issue 5, p905
- ISSN
0304-4289
- Publication type
Article
- DOI
10.1007/s12043-011-0184-2