Abstract:
This paper reports the occurrence of several chimera patter
ns and the associated transitions
among them in a network of coupled oscillators, which are con
nected by a long range interaction
that obeys a distance-dependent power law. This type of inte
raction is common in physics and
biology and constitutes a general form of coupling scheme, w
here by tuning the power-law exponent
of the long range interaction the coupling topology can be va
ried from local via nonlocal to global
coupling. To explore the effect of the power-law coupling on c
ollective dynamics, we consider a
network consisting of a realistic ecological model of oscil
lating populations, namely the Rosenzweig–
MacArthur model, and show that the variation of the power-la
w exponent mediates transitions
between spatial synchrony and various chimera patterns. We
map the possible spatiotemporal
states and their scenarios that arise due to the interplay be
tween the coupling strength and the power-law exponent.
