Phase-locked solutions and their stability in the presence of propagation delays

Pramana

Gautham C Sethia1¹  Abhijit Sen¹  Fatihcan M Atay² 

[1] Institute for Plasma Research, Bhat, Gandhinagar 382 428, India$$;Max Planck Institute for Mathematics in the Sciences, Inselstr. 22-26, Leipzig D-04103, Germany$$

关键词: Synchronization;    propagation delays;    nonlocal coupling;    phase oscillators;    marginal stability curve.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

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.

【 授权许可】

Unknown