Journal
NONLINEARITY
Volume 27, Issue 3, Pages 501-525Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/27/3/501
Keywords
synchronization; stability; persistence; networks
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Funding
- Marie Curie IIF Fellowship [303180]
- ERC Advanced Grant [267382]
- EPSRC Career Acceleration Fellowship
- Engineering and Physical Sciences Research Council [EP/I004165/1] Funding Source: researchfish
- EPSRC [EP/I004165/1] Funding Source: UKRI
- European Research Council (ERC) [267382] Funding Source: European Research Council (ERC)
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We study synchronization properties of networks of coupled dynamical systems with interaction akin to diffusion. We assume that the isolated node dynamics possesses a forward invariant set on which it has a bounded Jacobian, then we characterize a class of coupling functions that allows for uniformly stable synchronization in connected complex networks-in the sense that there is an open neighbourhood of the initial conditions that is uniformly attracted towards synchronization. Moreover, this stable synchronization persists under perturbations to non-identical node dynamics. We illustrate the theory with numerical examples and conclude with a discussion on embedding these results in a more general framework of spectral dichotomies.
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