title: Spatial coexistence of synchronized oscillation and death: A chimeralike state.
abstract: We report an interesting spatiotemporal state, namely the chimeralike incongruous coexistence of synchronized oscillation and stable steady state (CSOD) in a network of nonlocally coupled oscillators. Unlike the chimera and 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 consider a realistic ecological network and 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 provide a qualitative explanation of the origin of this state. We further explore the importance of this study in ecology that gives insight into the relationship between spatial synchrony and global extinction of species. We believe this study will improve our understanding of chimera and chimeralike states.
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: Department of Physics, University of Burdwan, Burdwan 713 104, West Bengal, India.
authors.forename: Tanmoy
authors.initials: T
authors.lastname: Banerjee
mesh_terms: D055669:Ecological and Environmental Phenomena; D017711:Nonlinear Dynamics; D062211:Spatio-Temporal Analysis