A particular case of the Jacobian conjecture
Ural Bekbaev
TL;DR
This paper examines a specific instance of the Jacobian conjecture and proposes a computational method for small-dimensional cases to advance understanding of this longstanding mathematical problem.
Contribution
It introduces a computational approach tailored for small-dimensional cases of the Jacobian conjecture, providing new tools for its investigation.
Findings
Successful application of the computational method to small-dimensional cases
Potential insights into the structure of polynomial maps with invertible Jacobians
Progress towards resolving specific instances of the Jacobian conjecture
Abstract
A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems · Control and Dynamics of Mobile Robots