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Linearizability conditions of time-reversible cubic systems
Xingwu Chen, Valery Romanovski, 2010, izvirni znanstveni članek

Opis: In this paper we present the necessary and sufficient conditions for linearizability of the planar time-reversible cubic complex system ▫$dot{x}=x+P(x,y)$▫, ▫$dot{y}=-y+Q(x,y)$▫. From these conditions, the necessary and sufficient conditions for the origin to be an isochronous center of the time-reversible cubic real system ▫$dot{u}=-v+F(u,v)$▫, ▫$dot{v}=u+G(u,v)$▫ can be obtained. Thus, the isochronous center problem of time-reversible cubic systems is solved completely.
Ključne besede: mathematics
Objavljeno v DKUM: 07.06.2012; Ogledov: 1148; Prenosov: 88
URL Povezava na celotno besedilo

3.
Linearizability conditions of a time-reversible quartic-like system
Xingwu Chen, Wentao Huang, Valery Romanovski, Weinian Zhang, 2011, izvirni znanstveni članek

Opis: In this paper we study the linearizability problem of polynomial-like complex differential systems. We give a reduction of linearizability problem of such non-polynomial systems to the problem of polynomial systems. Applying this reduction, we find some linearizability conditions for a time-reversible quartic-like complex system and derive from them conditions of isochronous center for the corresponding real system.
Ključne besede: mathematics, reversibility, isochronous center
Objavljeno v DKUM: 07.06.2012; Ogledov: 1053; Prenosov: 109
URL Povezava na celotno besedilo

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