2 papers
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
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…