title: Chimera patterns induced by distance-dependent power-law coupling in ecological networks.
abstract: This paper reports the occurrence of several chimera patterns and the associated transitions among them in a network of coupled oscillators, which are connected by a long-range interaction that obeys a distance-dependent power law. This type of interaction is common in physics and biology and constitutes a general form of coupling scheme, where by tuning the power-law exponent of the long-range interaction the coupling topology can be varied from local via nonlocal to global coupling. To explore the effect of the power-law coupling on collective dynamics, we consider a network consisting of a realistic ecological model of oscillating populations, namely the Rosenzweig-MacArthur model, and show that the variation of the power-law 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 between the coupling strength and the power-law exponent.
authors.affiliation: Chaos and Complex Systems Research Laboratory, Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
authors.forename: Tanmoy
authors.initials: T
authors.lastname: Banerjee
authors.affiliation: Department of Mathematics, Indian Institute of Technology Ropar, Rupnagar 140 001, Punjab, India.
authors.forename: Partha Sharathi
authors.initials: PS
authors.lastname: Dutta
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
authors.forename: Anna
authors.initials: A
authors.lastname: Zakharova
authors.affiliation: Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstraße 36, 10623 Berlin, Germany.
authors.forename: Eckehard
authors.initials: E
authors.lastname: Schöll