1 citations · 1 across the 1 of their papers we have counts for
2 papers
math.DS2026
From Complex Regularization to Polynomial Flow: Capture and Escape in Rocking Dynamics
Francisco Prieto-Castrillo, Set Pérez-González, Jesús S. Pérez del Río
We develop a planar polynomial system based on a complex regularization of free rocking and analyze the equilibrium states and phase portraits via an effective radial potential. Th…
math.DS2013★ 1 cited
A proof of Perko's conjectures for the Bogdanov-Takens system
Armengol Gasull, Hector Giacomini, Set Perez-Gonzalez +1
The Bogdanov-Takens system has at most one limit cycle and, in the parameter space, it exists between a Hopf and a saddle-loop bifurcation curves. The aim of this paper is to prove…