2017/02/13 by Amitava Banerjee, Banerjee, Amitava, Muktish Acharyya +1
Computer Science · Economics, Econometrics and Finance · Engineering · Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Complex Systems and Time Series Analysis #FOS: Physical sciences #Nonlinear Dynamics and Pattern Formation #Slime Mold and Myxomycetes Research #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.1702.03641
openalex publication_date 2017/02/13 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
In this numerical work we have systematically studied the dynamical phase\ntransitions in the Kuramoto- Sakaguchi model of synchronizing phase oscillators\ncontrolled by disorder in the Sakaguchi phases. We find out the numerical\nsteady state phase diagrams for quenched and annealed kinds of disorder in the\nSakaguchi parameters using the conventional order parameter and other\nstatistical quantities like strength of incoherence and discontinuity measures.\nWe have also considered the correlation profile of the local order parameter\nfluctuations in the various identified phases. The phase diagrams for quenched\ndisorder is qualitatively much different than those the global coupling regime.\nThe order of various transitions are confirmed by a study of the distribution\nof the order parameter and its fourth order Binder cumulant across the\ntransition for an ensemble of initial distribution of phases. For annealed type\nof disorder, in contrast to the case with the quenched disorder, the system is\nalmost insensitive to the amount of disorder. We also elucidate the role of\nchimeralike states in the synchronizing transition of the system and study the\neffect of disorder on these states. Finally, we seek justification of our\nresults from simulations guided by the Ott-Antonsen ansatz.\n