Add to ORKGWe propose a handful of definitions of injectivity for a parametrized family of maps and study its link with a global nonuniform stability conjecture for nonautonomous differential systems, which has been recently introduced. This relation allow us to address a particular family of parametrized polynomial automorphisms and to prove that they have polynomial inverse for certain parameters, which is reminiscent to the Jacobian Conjecture
Let $k$ be a field of characteristic zero. Let $F = X + H$ be a polynomial mapping from $k^n \to k^n...
AbstractWe give a polynomial counterexample to a discrete version of the Markus–Yamabe conjecture an...
Abstract(a) Let X:R2→R2 be a differentiable map (not necessarily C1) and let Spec(X) be the set of (...
In this survey, we recall the formulation of the problems and give a review of some nontrivial resul...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
The Jacobian conjecture over a field of characteristic zero is considered directly in view of the pa...
In general a polynomial automorphism of the plane can be written as a composition of generalized Hen...
Given a family of polynomial-like maps of large topological degree, we relate the presence of Misiur...
We study the global asymptotic stability of the origin for the continuous and discrete dynamical sys...
We prove that a polynomial map is invertible if and only if some associateddifferential...
AbstractSeveral new conditions for the invertibility of a polynomial map (/tf, g):C2 → C2 with a non...
Abstract. Let F: Cn → Cn be an invertible map for which both F and F−1 are polynomials. Then degF−1 ...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
AbstractIt is known that for a polynomial automorphism F with strongly nilpotent Jacobian matrix the...
AbstractLet k be a field of characteristic 0, and let f:kn→kn be a polynomial map with components of...
Let $k$ be a field of characteristic zero. Let $F = X + H$ be a polynomial mapping from $k^n \to k^n...
AbstractWe give a polynomial counterexample to a discrete version of the Markus–Yamabe conjecture an...
Abstract(a) Let X:R2→R2 be a differentiable map (not necessarily C1) and let Spec(X) be the set of (...
In this survey, we recall the formulation of the problems and give a review of some nontrivial resul...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
The Jacobian conjecture over a field of characteristic zero is considered directly in view of the pa...
In general a polynomial automorphism of the plane can be written as a composition of generalized Hen...
Given a family of polynomial-like maps of large topological degree, we relate the presence of Misiur...
We study the global asymptotic stability of the origin for the continuous and discrete dynamical sys...
We prove that a polynomial map is invertible if and only if some associateddifferential...
AbstractSeveral new conditions for the invertibility of a polynomial map (/tf, g):C2 → C2 with a non...
Abstract. Let F: Cn → Cn be an invertible map for which both F and F−1 are polynomials. Then degF−1 ...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
AbstractIt is known that for a polynomial automorphism F with strongly nilpotent Jacobian matrix the...
AbstractLet k be a field of characteristic 0, and let f:kn→kn be a polynomial map with components of...
Let $k$ be a field of characteristic zero. Let $F = X + H$ be a polynomial mapping from $k^n \to k^n...
AbstractWe give a polynomial counterexample to a discrete version of the Markus–Yamabe conjecture an...
Abstract(a) Let X:R2→R2 be a differentiable map (not necessarily C1) and let Spec(X) be the set of (...