Nonlinear Sciences – Adaptation and Self-Organizing Systems
Scientific paper
2010-03-23
Nonlinear Sciences
Adaptation and Self-Organizing Systems
10 pages, 10 figures, Accepted in Phys. Rev. E
Scientific paper
Following a short report of our preliminary results [Phys. Rev. E 79, 055203(R) (2009)], we present a more detailed study of the effects of coupling delay in diffusively coupled phase oscillator populations. We find that coupling delay induces chimera and globally clustered chimera (GCC) states in delay coupled populations. We show the existence of multi-clustered states that act as link between the chimera and the GCC states. A stable GCC state goes through a variety of GCC states, namely periodic, aperiodic, long-- and short--period breathers and becomes unstable GCC leading to global synchronization in the system, on increasing time delay. We provide numerical evidence and theoretical explanations for the above results and discuss possible applications of the observed phenomena.
Chandrasekar V. K.
Lakshmanan Meenakshi
Sheeba Jane H.
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