The Dependence of Chimera States on Initial Conditions
FENG Yue-E, LI Hai-Hong**
School of Science, Beijing University of Posts and Telecommunications, Beijing 100876
Abstract ：A chimera state consisting of both coherent and incoherent groups is a fascinating spatial pattern in non-locally coupled identical oscillators. It is thought that random initial conditions hardly evolve to chimera states. In this work, we study the dependence of chimera states on initial conditions. We show that random initial conditions may lead to chimera states and the chance of realizing chimera states becomes increasing when the model parameters are moving away from the boundary of their stable regime.
收稿日期: 2015-01-19
出版日期: 2015-06-30
:
05.45.Xt
(Synchronization; coupled oscillators)
04.20.Ex
(Initial value problem, existence and uniqueness of solutions)
45.70.Qj
(Pattern formation)
[1] Kuramoto Y and Battogtokh D 2002 Nonlinear Phenom. Complex Syst. 5 3802003 Phys. Rev. E 68 026219 2008 Phys. Rev. Lett. 100 144102 2010 Phys. Rev. E 81 046203 2013 Europhys. Lett. 103 10007 2008 Phys. Rev. Lett. 101 084103 2014 Phys. Rev. Lett. 112 154101 2014 Phys. Rev. E 89 052914 2014 Phys. Rev. Lett. 112 144101 2015 Phys. Rev. Lett. 114 034101 2004 Phys. Rev. Lett. 93 174102 2009 Physica D 238 1569 2009 Chaos 19 013113 2008 Chaos 18 037113 2004 Phys. Rev. E 69 036213 2013 Phys. Rev. Lett. 111 134101 2010 Phys. Rev. Lett. 104 044101 2011 Phys. Rev. Lett. 106 234102 2012 Phys. Rev. E 85 026212 2010 Phys. Rev. E 81 065201(R) 2006 Int. J. Bifurcation Chaos Appl. Sci. Eng. 16 21 2013 Phys. Rev. Lett. 111 054103 2014 Phys. Rev. E 89 022914 2013 Phys. Rev. Lett. 110 244102
[1]
.
[2]
.
[3]
.
[4]
.
[5]
.
[6]
.
[7]
.
[8]
.
[9]
.
[10]
.
[11]
.
[12]
.
[13]
.
[14]
.
[15]
.
2015, Vol. 32 
