Abstract:Understanding the sensitivity of a system's behavior with respect to parameter changes is essential for many applications. This sensitivity may be desired -for instance in the brain, where a large repertoire of different dynamics, particularly different synchronization patterns, is crucial -or may be undesired -for instance in power grids, where disruptions to synchronization may lead to blackouts. In this work, we show that the dynamics of networks of phase oscillators can acquire a very large and complex sen… Show more
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