On the structural instability of non-hyperbolic limit cycles on planar polynomial vector fields
P Santana - São Paulo Journal of Mathematical Sciences, 2024 - Springer
It is known that non-hyperbolic limit cycles are structurally unstable in the set of planar
smooth and analytic vector fields. In the polynomial case, it is known only that limit cycles of …
smooth and analytic vector fields. In the polynomial case, it is known only that limit cycles of …
Poincaré compactification for non-polynomial vector fields
In this work a theorical framework to apply the Poincaré compactification technique to locally
Lipschitz continuous vector fields is developed. It is proved that these vectors fields are …
Lipschitz continuous vector fields is developed. It is proved that these vectors fields are …
Poincaré Compactification for Non-polynomial Vector Fields
JLB Trinidad, MF García-Hierro… - Qualitative theory of …, 2020 - documat.unirioja.es
In this work a theorical framework to apply the Poincaré compactification technique to locally
Lipschitz continuous vector fields is developed. It is proved that these vectors fields are …
Lipschitz continuous vector fields is developed. It is proved that these vectors fields are …