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Application: Decoupling in Networks

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Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2117))

Abstract

Networks are an important structure in many applications ranging from chemistry and biology to engineering. Pattern formation in networks has caught an ever growing interest in recent years [57]. The main focus is usually the synchronization of the cells of the network. Here, we study the converse phenomenon: under suitable symmetry assumptions, networks can decouple and continua of states emerge where all couplings cancel out each other and several pairs of cells can have arbitrary phase differences.

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References

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Liebscher, S. (2015). Application: Decoupling in Networks. In: Bifurcation without Parameters. Lecture Notes in Mathematics, vol 2117. Springer, Cham. https://doi.org/10.1007/978-3-319-10777-6_6

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