Abstract
We present an efficient method for computing focus and linearizability quantities of polynomial differential equation systems. We apply the method to computing these quantities for ten eight-parametric cubic systems and obtain the necessary and sufficient conditions of linearizability (isochronicity) of these systems. We also show that there is a kind of duality between the problem of constructing algebraic invariant curves, first integrals and linearizing transformations on one side, and the problem of solving some first-order linear partial differential equations on the other side.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
