3 citations · 3 across the 2 of their papers we have counts for
3 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…
math.DS2023★ 3 cited
Hybrid Bifurcations: Periodicity from Eliminating a Line of Equilibria
Alejandro López-Nieto, Phillipo Lappicy, Nicola Vassena +2
We describe a new mechanism that triggers periodic orbits in smooth dynamical systems. To this end, we introduce the concept of hybrid bifurcations: Such bifurcations occur when a…