Bulletin of the American Physical Society
APS March Meeting 2024
Monday–Friday, March 4–8, 2024; Minneapolis & Virtual
Session N00: Poster Session II (11:30am-2:30pm CST)
11:30 AM,
Wednesday, March 6, 2024
Room: Hall BC
Sponsoring
Unit:
APS/SPS
Abstract: N00.00202 : Topological phase locking in dissipatively-coupled noise-activated processes*
Presenter:
Michalis Chatzittofi
(Max Planck Institute for Dynamics and Self-Organization)
Authors:
Michalis Chatzittofi
(Max Planck Institute for Dynamics and Self-Organization)
Ramin Golestanian
(Max Planck Institute for Dynamics and Self-Organization)
Jaime Agudo-Canalejo
(Max Planck Institute for Dynamics and Self-Organization)
other through a dissipative coupling. We find that the system exhibits a rich variety of dynamical
behaviors, including a novel phase-locking phenomenon that we term topological phase locking
(TPL). TPL is characterized by the emergence of a band of periodic orbits that form a torus knot
in phase space, along which the two oscillators advance in rational multiples of each other, which
coexists with the basin of attraction of the stable fixed point. We show that TPL arises as a
result of a complex hierarchy of global bifurcations. Even if the system remains noise-activated,
the existence of the band of periodic orbits enables effectively deterministic dynamics, resulting in
a greatly enhanced speed of the oscillators. Our results have implications for understanding the
dynamics of a wide range of systems, from biological enzymes and molecular motors to engineered
electronic, optical, or mechanical oscillators.
*We acknowledge support from the Max Planck SchoolMatter to Life and the MaxSynBio Consortium whichare jointly funded by the Federal Ministry of Educationand Research (BMBF) of Germany and the Max PlanckSociety.
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