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• W2037072610 abstract "We present a dynamical system that naturally exhibits two unstable attractors that are completely enclosed by each other's basin volume. This counterintuitive phenomenon occurs in networks of pulse-coupled oscillators with delayed interactions. We analytically show that upon continuously removing a local noninvertibility of the system, the two unstable attractors become a set of two nonattracting saddle states that are heteroclinically connected. This transition equally occurs from larger networks of unstable attractors to heteroclinic structures and constitutes a new type of singular bifurcation in dynamical systems." @default.
• W2037072610 created "2016-06-24" @default.
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• W2037072610 date "2008-12-04" @default.
• W2037072610 modified "2023-09-27" @default.
• W2037072610 title "From networks of unstable attractors to heteroclinic switching" @default.
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• W2037072610 doi "https://doi.org/10.1103/physreve.78.065201" @default.
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