TY - JOUR
T1 - Intermittent phase dynamics of non-autonomous oscillators through time-varying phase
AU - Newman, Julian
AU - Scott, Joseph P.
AU - Rowland Adams, Joe
AU - Stefanovska, Aneta
PY - 2024/5/1
Y1 - 2024/5/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?eid=2-s2.0-85186766897&partnerID=MN8TOARS
UR - https://www.sciencedirect.com/science/article/pii/S0167278924000599?via%3Dihub
U2 - 10.1016/j.physd.2024.134108
DO - 10.1016/j.physd.2024.134108
M3 - Article
SN - 0167-2789
VL - 461
JO - Physica D
JF - Physica D
M1 - 134108
ER -