MS#167. The Dynamics of Synchronization and Phase Regulation, 2023
- Subjects: Dynamics
This is a joint project begun in 1983 and first reported in (Abraham, 1989). We
were inspired by Arthur Winfree and have in mind a number of applications to medical
physiology and mathematical biology. The main theme is the role of the geometry of
periodic attractors - the shape of an attractive limit cycle and its isochrons - in determining
the phase synchrony of coupled oscillators. We present a profusely illustrated
review of the geometric theory of the synchronization of periodic attractors, such as
biological oscillators, by periodic forcing.
- Written October, 2023.
- [PDF] 14 pages, 516 KB
by Ralph Abraham