OPTIMAL COUPLING STRENGTH IN PHASE SYNCHRONIZATION.
Abstract
The paper presents the numerical discovery of the optimal value of the coupling strength K = 0.316 in the problem of phase synchronization of two oscillators. It is shown that this value is not arbitrary, but occurs as a point of minimum capture time at a fixed detune Δω = 0.2. The found parameter provides stable operation of the system far from the critical boundary K = Δω with a margin of safety. with phase velocity and the golden ratio, as well as its role in resonant energy release (RER), chronal propulsion and instantaneous communication systems. Numerical results are fully reproducible; The code is attached.
Fields of Study & Subjects
Nonlinear Dynamics and Pattern Formation
Chaos control and synchronization
Advanced Mathematical Theories and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 March 2026
- Language
- EN