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

Research output: Contribution to journal › Article › Research

66 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

Access to Document

10.1216/rmjm/1181071923

Cite this

@article{a90141362ca2437f8bcc146f9c859d2b,

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.",

author = "Anna Cima and Armengol Gasull and V{\'i}ctor Manosa and Francesc Manosas",

year = "1997",

month = jan,

day = "1",

doi = "10.1216/rmjm/1181071923",

language = "English",

volume = "27",

pages = "471--501",

journal = "Rocky Mountain Journal of Mathematics",

issn = "0035-7596",

publisher = "Rocky Mountain Mathematics Consortium",

number = "2",

}

TY - JOUR

T1 - Algebraic properties of the Liapunov and period constants

AU - Cima, Anna

AU - Gasull, Armengol

AU - Manosa, Víctor

AU - Manosas, Francesc

PY - 1997/1/1

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

Access to Document

Fingerprint

Cite this