Synchronization Transitions in a Disordered Josephson Series Array

作者: Kurt Wiesenfeld , Pere Colet , Steven H. Strogatz

DOI: 10.1103/PHYSREVLETT.76.404

关键词:

摘要: We show that a current-biased series array of nonidentical Josephson junctions undergoes two transitions as function the spread natural frequencies. One transition corresponds to onset partial synchronization, and other complete phase locking. In limit weak coupling disorder, system can be mapped onto an exactly solvable model introduced by Kuramoto points accurately predicted.

参考文章(19)
Arthur T. Winfree, The geometry of biological time ,(1980)
Arthur T. Winfree, The Geometry of Biological Time Springer Berlin Heidelberg. ,(1980) , 10.1007/978-3-662-22492-2
Steven H. Strogatz, Ian Stewart, Coupled Oscillators and Biological Synchronization Scientific American. ,vol. 269, pp. 102- 109 ,(1993) , 10.1038/SCIENTIFICAMERICAN1293-102
Arthur T. Winfree, Biological rhythms and the behavior of populations of coupled oscillators Journal of Theoretical Biology. ,vol. 16, pp. 15- 42 ,(1967) , 10.1016/0022-5193(67)90051-3
H. Sakaguchi, Y. Kuramoto, A Soluble Active Rotater Model Showing Phase Transitions via Mutual Entertainment Progress of Theoretical Physics. ,vol. 76, pp. 576- 581 ,(1986) , 10.1143/PTP.76.576
Steven H. Strogatz, Renato E. Mirollo, Paul C. Matthews, Coupled nonlinear oscillators below the synchronization threshold: Relaxation by generalized Landau damping Physical Review Letters. ,vol. 68, pp. 2730- 2733 ,(1992) , 10.1103/PHYSREVLETT.68.2730
Steven H. Strogatz, Renato E. Mirollo, Stability of incoherence in a population of coupled oscillators Journal of Statistical Physics. ,vol. 63, pp. 613- 635 ,(1991) , 10.1007/BF01029202
Luis L. Bonilla, John C. Neu, Renato Spigler, Nonlinear stability of incoherence and collective synchronization in a population of coupled oscillators Journal of Statistical Physics. ,vol. 67, pp. 313- 330 ,(1992) , 10.1007/BF01049037
J. L. van Hemmen, W. F. Wreszinski, Lyapunov function for the Kuramoto model of nonlinearly coupled oscillators Journal of Statistical Physics. ,vol. 72, pp. 145- 166 ,(1993) , 10.1007/BF01048044