Chimera-Like Coexistence of Synchronized Oscillation and Death in an Ecological Network

Partha Sharathi Dutta; Tanmoy Banerjee

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arXiv · 1506.00495

Chimera-Like Coexistence of Synchronized Oscillation and Death in an Ecological Network

Partha Sharathi Dutta·Tanmoy Banerjee

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Abstract

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.

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Partha Sharathi Dutta, Tanmoy Banerjee. 2015-06-01. Chimera-Like Coexistence of Synchronized Oscillation and Death in an Ecological Network. https://arxiv.org/abs/1506.00495

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