2 papers
math.DS2024
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…
math.AP2024
Real eternal PDE solutions are not complex entire: a quadratic parabolic example
Bernold Fiedler, Hannes Stuke
In parabolic or hyperbolic PDEs, solutions which remain uniformly bounded for all real times are often called PDE entire or eternal. For example, consider the qu…