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Journal Article

Feedback-induced stationary localized patterns in networks of diffusively coupled bistable elements

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Kouvaris,  Nikos
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Mikhailov,  Alexander S.
Physical Chemistry, Fritz Haber Institute, Max Planck Society;

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Fulltext (public)

1301.5226v2.pdf
(Preprint), 848KB

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Citation

Kouvaris, N., & Mikhailov, A. S. (2013). Feedback-induced stationary localized patterns in networks of diffusively coupled bistable elements. Europhysics letters, 102(1): 16003. doi:10.1209/0295-5075/102/16003.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-B34F-2
Abstract
Effects of feedbacks on self-organization phenomena in networks of diffusively coupled bistable elements are investigated. For regular trees, an approximate analytical theory for localized stationary patterns under application of global feedbacks is constructed. Using it, properties of such patterns in different parts of the parameter space are discussed. Numerical investigations are performed for large random Erdös-Rényi and scale-free networks. In both kinds of systems, localized stationary activation patterns have been observed. The active nodes in such a pattern form a subnetwork, whose size decreases as the feedback intensity is increased. For strong feedbacks, active subnetworks are organized as trees. Additionally, local feedbacks affecting only the nodes with high degrees (i.e., hubs) or the periphery nodes are considered.