Intermittent phase dynamics of non-autonomous oscillators through time-varying phase

Newman, Julian and Scott, Joseph P. and Rowland Adams, Joe and Stefanovska, Aneta (2024) Intermittent phase dynamics of non-autonomous oscillators through time-varying phase. Physica D: Nonlinear Phenomena, 461: 134108. ISSN 0167-2789

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Abstract

Oscillatory dynamics pervades the universe, appearing in systems of all scales. Whilst autonomous oscillatory dynamics has been extensively studied and is well understood, the very important problem of non-autonomous oscillatory dynamics is less well understood. Here, we provide a framework for non-autonomous oscillatory dynamics, within which we can define intermittent phenomena such as intermittent phase synchronisation. Moreover, we demonstrate this framework with a coupled pair of non-autonomous phase oscillators as well as a higher-dimensional system comprising of two interacting phase-oscillator networks.