3 papers
math.DS2026
Hopf-like bifurcations induced by hysteresis and time-delay near monodromic tangential singularities
Douglas D. Novaes, Paulo Santana, David J. W. Simpson
We investigate planar piecewise-analytic vector fields, focusing on the merged focus and other monodromic tangential singularities when hysteresis or time-delay is incorporated int…
math.DS2025
Generalized Pseudo-Hopf Bifurcation: Limit Cycle Position and Period
Lucas Queiroz Arakaki, Douglas Novaes, Paulo Santana
We investigate planar piecewise-smooth vector fields with a discontinuity line, focusing on the bifurcation of crossing limit cycles that arise when one of the vector fields is tra…
math.DS2025
On the cyclicity of persistent hyperbolic polycycles
Lucas Queiroz Arakaki, Paulo Santana
In this work we consider families of smooth vector fields having a persistent polycycle with hyperbolic saddles. We derive the asymptotic expansion of the return map associated…