Detection of Special Curves Via the Double Resultant

Antoni Ferragut; Johanna D. García-Saldaña; Armengol Gasull

doi:https://doi.org/10.1007/s12346-015-0180-x

Detection of Special Curves Via the Double Resultant

Antoni Ferragut, Johanna D. García-Saldaña, Armengol Gasull

Research output: Contribution to journal › Article › Research › peer-review

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Abstract

© 2015, Springer International Publishing. We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.

Original language	English
Pages (from-to)	101-117
Journal	Qualitative Theory of Dynamical Systems
Volume	16
Issue number	1
DOIs	https://doi.org/10.1007/s12346-015-0180-x
Publication status	Published - 1 Apr 2017

Keywords

Integrability
Offset of curves
Remarkable curves
Resultant

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https://doi.org/10.1007/s12346-015-0180-x

https://ddd.uab.cat/record/182490

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title = "Detection of Special Curves Via the Double Resultant",

abstract = "{\textcopyright} 2015, Springer International Publishing. We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.",

keywords = "Integrability, Offset of curves, Remarkable curves, Resultant",

author = "Antoni Ferragut and Garc{\'i}a-Salda{\~n}a, {Johanna D.} and Armengol Gasull",

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T1 - Detection of Special Curves Via the Double Resultant

AU - Ferragut, Antoni

AU - García-Saldaña, Johanna D.

AU - Gasull, Armengol

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N2 - © 2015, Springer International Publishing. We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.

AB - © 2015, Springer International Publishing. We introduce several applications of the use of the double resultant through some examples of computation of different nature: special level sets of rational first integrals for rational discrete dynamical systems; remarkable values of rational first integrals of polynomial vector fields; bifurcation values in phase portraits of polynomial vector fields; and the different topologies of the offset of curves.

KW - Integrability

KW - Offset of curves

KW - Remarkable curves

KW - Resultant

U2 - https://doi.org/10.1007/s12346-015-0180-x

DO - https://doi.org/10.1007/s12346-015-0180-x

M3 - Article

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SP - 101

EP - 117

JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

SN - 1575-5460

IS - 1

ER -

Detection of Special Curves Via the Double Resultant

Abstract

Keywords

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