Normal forms of two p : -q resonant polynomial vector fields

Victor Edneral; Valery G. Romanovski

Conference Proceedings

Normal forms of two p : -q resonant polynomial vector fields

Edneral V
Romanovski V

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2011) 6885 LNCS 126-134

DOI: 10.1007/978-3-642-23568-9_10

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Abstract

We investigate a property of normal forms of p : -q resonant vector fields, which is related to isochronicity. The problem is reduced to studying polynomial ideals and their varieties which is performed using tools of computational algebra. © 2011 Springer-Verlag.

Author supplied keywords

computational algebra
isochronicity
linearizability
normal forms
planar differential equations
polynomial ideals

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Edneral, V., & Romanovski, V. G. (2011). Normal forms of two p : -q resonant polynomial vector fields. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6885 LNCS, pp. 126–134). https://doi.org/10.1007/978-3-642-23568-9_10

Normal forms of two p : -q resonant polynomial vector fields

Abstract

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