An extension to the planar Markus-Yamabe Jacobian conjecture

2021/06/29 by Sabatini, Marco
#34D20 #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2106.15461

Abstract

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

Related

• The Discrete Markus-Yamabe Problem for Symmetric Planar Polynomial Maps
• The Jacobian Conjecture and Integrability of Associated Partial Differential Equations
• A particular case of the Jacobian conjecture
• Sufficient conditions for the n-dimensional real Jacobian conjecture
• A system of polynomial equations related to the Jacobian Conjecture