M. Sabatini

activity

20062023

most citedExistence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms

6 citations · 25 across the 13 of their papers we have counts for

collaborators

Showing 2021 · math.DSShow all

2 papers · 2 filters

math.DS2021

Injectivity of non-singular planar maps with one convex component

Marco Sabatini

We prove that if a non-singular planar map $Λ \in C^{2} (R^{2}, R^{2})$ has a convex component, then $Λ$ is injective. We do not assume strict convexity.

math.DS2021

An extension to the planar Markus-Yamabe Jacobian conjecture

Marco Sabatini

We extend the planar Markus-Yamabe Jacobian Conjecture to differential systems having jacobian matrix with eigenvalues with negative or zero real parts.