摘要Amplitude death in coupled limit-cycle systems induced by the reactive coupling is studied. The presence of reactive coupling parameter changes the amplitude death process of the system, and increases the critical coupling strength for the emergence of amplitude death. When the systems are in the state of complete or partial amplitude death, increasing the reactive coupling will increase the number of partial synchronization groups, implying the increase of disorder of the system. Increasing the reactive coupling makes the elimination of the amplitude death of the systems harder.
Abstract:Amplitude death in coupled limit-cycle systems induced by the reactive coupling is studied. The presence of reactive coupling parameter changes the amplitude death process of the system, and increases the critical coupling strength for the emergence of amplitude death. When the systems are in the state of complete or partial amplitude death, increasing the reactive coupling will increase the number of partial synchronization groups, implying the increase of disorder of the system. Increasing the reactive coupling makes the elimination of the amplitude death of the systems harder.
WANG Jin-Hua;LI Xiao-Wen. Reactive Coupling Effects on Amplitude Death of Coupled Limit-Cycle Systems[J]. 中国物理快报, 2009, 26(3): 30505-030505.
WANG Jin-Hua, LI Xiao-Wen. Reactive Coupling Effects on Amplitude Death of Coupled Limit-Cycle Systems. Chin. Phys. Lett., 2009, 26(3): 30505-030505.
[1] Bonilla L L and Acebron J A 2005 Rev. Mod. Phys. 71 137 [2] Bar-Eli Z 1985 Physica D 14 242 [3] Ermentrout G B 1990 Physica D 41 219 [4] Matthews P C and Strogatz S H 1990 Phys. Rev. Lett. 65 1701 [5] Matthews P C and Strogatz S H 1991 Physica D 52 293 [6] Aronson D G,Ermentrout G B and Koppel N 1990 PhysicaD 41 403 [7] Ramana D V,Sen A and Johnston G L 1998 Phys. Rev.Lett. 80 5109 [8] Yamaguchi Y and Shiimizu H 1984 Physica D 11212 [9] Cross M C and Rogers J L 2004 Phys. Rev. Lett. 93 224101 [10] Cross M C and Rogers J L 2006 Phys. Rev. E 73036205 [11] Yang J Z 2007 Phys. Rev. E 76 016204 [12] Zheng Z G 2001 Chin. Phys. 10 0703