Trapping Phenomenon Attenuates the Consequences of Tipping Points for Limit Cycles

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Trapping Phenomenon Attenuates Tipping Points for Limit Cycles

Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the systems parameters abruptly shift the system to an alternative state with a contrasting dynamical behavior. While tipping in a fold bifurcation of an equilibrium is well understood, much less is known about tipping of oscillations (limit cycles) though this d...

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Trapping Phenomenon Attenuates the Consequences of Tipping Points for Limit Cycles

Nonlinear dynamical systems may be exposed to tipping points, critical thresholds at which small changes in the external inputs or in the system's parameters abruptly shift the system to an alternative state with a contrasting dynamical behavior. While tipping in a fold bifurcation of an equilibrium is well understood, much less is known about tipping of oscillations (limit cycles) though this ...

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ژورنال

عنوان ژورنال: Scientific Reports

سال: 2017

ISSN: 2045-2322

DOI: 10.1038/srep42351