Chimeralike states in a network of oscillators under attractive and repulsive global coupling
The paper is for
Special Session is entitled "Chaotic and Complex Dynamics and its Applications"
We observe chimeralike states in networks of dynamical systems using a type of global coupling
consisting of two components: attractive and repulsive mean field feedback. We identify existence
of two types of chimeralike states in a bistable Lienard system; in one type, both the coherent
and the noncoherent populations are in chaotic states and, in the other type, the incoherent
population is in a periodic state while the coherent population is in periodic or chaotic and even
be quasiperiodic. We locate the coupling parameter regimes of the two types of chimerlike states
in a phase diagram. We study other bistable systems, a forced van der Pol-Duffing system and
the Josephson junction model to investigate generality of the coupling con_guration in creating
chimeralike states. We find chaos-chaos chimeralike states in the network of bistable van der Pol-
Duffing system, period-period chimeralike states in the network of Josephson junction model in the
bistable regime. Furthermore, we apply the coupling to a network of chaotic Rossler system where
we find the chaos-chaos chimeralike states.