6 citations · 25 across the 13 of their papers we have counts for
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Global injectivity of planar non-singular maps polynomial in one variable
Marco Sabatini
We consider non-singular and Jacobian maps whose components are polynomial in the variable y. We prove that if a map has y-degree one, then it is the composition of a triangular ma…
Injectivity of non-singular planar maps with one convex component
Marco Sabatini
We prove that if a non-singular planar map has a convex component, then is injective. We do not assume strict convexity.
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.
Measure-preserving symmetries and reversibilities of ordinary differential systems
Marco Sabatini
We prove that measure-preserving symmetries of an -dimensional differential system preserve its divergence and the divergence derivatives along the solutions. Also, we prove tha…
On the fixed points set of differential systems reversibilities
Marco Sabatini
We extend a result proved in \cite{Col} for mirror symmetries of planar systems to measure-preserving non-linear reversibilities of -dimensional systems, dropping the analyticit…
Existence and uniqueness of limit cycles in a class of second order ODE's with inseparable mixed terms
Marco Sabatini
We prove a uniqueness result for limit cycles of the second order ODE . Under mild additional conditions, we show that such a limit cycle a…