Algebraic properties of the Liapunov and period constants

Anna Cima; Armengol Gasull; Víctor Manosa; Francesc Manosas

doi:10.1216/rmjm/1181071923

Algebraic properties of the Liapunov and period constants

Anna Cima, Armengol Gasull, Víctor Manosa, Francesc Manosas

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63 Citations (Scopus)

Abstract

We give several algebraic properties of the Liapunov and period constants that simplify their effective computation. We apply them to get the first Liapunov and period constants and the second Liapunov constant for an arbitrary analytic system. Finally we apply them to some particular families of differential equations. © 1997 Rocky Mountain Mathematics Consortium.

Original language	English
Pages (from-to)	471-501
Journal	Rocky Mountain Journal of Mathematics
Volume	27
Issue number	2
DOIs	https://doi.org/10.1216/rmjm/1181071923
Publication status	Published - 1 Jan 1997

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title = "Algebraic properties of the Liapunov and period constants",

abstract = "We give several algebraic properties of the Liapunov and period constants that simplify their effective computation. We apply them to get the first Liapunov and period constants and the second Liapunov constant for an arbitrary analytic system. Finally we apply them to some particular families of differential equations. {\textcopyright} 1997 Rocky Mountain Mathematics Consortium.",

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AU - Cima, Anna

AU - Gasull, Armengol

AU - Manosa, Víctor

AU - Manosas, Francesc

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Y1 - 1997/1/1

N2 - We give several algebraic properties of the Liapunov and period constants that simplify their effective computation. We apply them to get the first Liapunov and period constants and the second Liapunov constant for an arbitrary analytic system. Finally we apply them to some particular families of differential equations. © 1997 Rocky Mountain Mathematics Consortium.

AB - We give several algebraic properties of the Liapunov and period constants that simplify their effective computation. We apply them to get the first Liapunov and period constants and the second Liapunov constant for an arbitrary analytic system. Finally we apply them to some particular families of differential equations. © 1997 Rocky Mountain Mathematics Consortium.

U2 - 10.1216/rmjm/1181071923

DO - 10.1216/rmjm/1181071923

M3 - Article

VL - 27

SP - 471

EP - 501

JO - Rocky Mountain Journal of Mathematics

JF - Rocky Mountain Journal of Mathematics

SN - 0035-7596

IS - 2

ER -

Algebraic properties of the Liapunov and period constants

Abstract

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