2015/06/01 by Partha Sharathi Dutta, Dutta, Partha Sharathi, Tanmoy Banerjee +1
Physics and Astronomy · #Adaptation and Self-Organizing Systems (nlin.AO) #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #nlin.AO #nlin.CD
paper · pdf · doi:10.48550/arxiv.1506.00495
5 pages--5 figs; Submitted for publication
arxiv created 2015/06/06 · arxiv updated 2015/06/09
We report a novel spatiotemporal state, namely the chimera-like incongruous coexistence of \it synchronized oscillation and \it stable steady state (CSOD) in a realistic ecological network of nonlocally coupled oscillators. Unlike the \it chimera and \it chimera death state, in the CSOD state identical oscillators are self-organized into two coexisting spatially separated domains: In one domain neighboring oscillators show synchronized oscillation and in another domain the neighboring oscillators randomly populate either a synchronized oscillating state or a stable steady state (we call it a death state). We show that the interplay of nonlocality and coupling strength results in two routes to the CSOD state: One is from a coexisting mixed state of amplitude chimera and death, and another one is from a globally synchronized state. We further explore the importance of this study in ecology that gives a new insight into the relationship between spatial synchrony and global extinction of species.