2 papers
math.DS2025
Transient rebellions in the Kuramoto oscillator: Morse-Smale structural stability and connection graphs of finite 2-shift type
Jia-Yuan Dai, Bernold Fiedler, Alejandro López-Nieto
The celebrated 1975 Kuramoto model of identical oscillators with phase angle vector and all-to-all coupling reads \beg…
math.DS2025
Global Continuation of Stable Periodic Orbits in Systems of Competing Predators
Kevin E. M. Church, Jia-Yuan Dai, Olivier Hénot +2
We develop a continuation technique to obtain global families of stable periodic orbits, delimited by transcritical bifurcations at both ends. To this end, we formulate a zero-find…