A note on the Poincaré-Bendixson index theorem

Kodai Mathematical Journal

Zbigniew Szafraniec²  Slawomir Rybicki³  Marek Izydorek¹ 

[1] INSTITUTE OF MATHEMATICS, UNIVERSITY OF GDANSK;DEPARTMENT OF MATHEMATICS, TECHNICAL UNIVERSITY OF GDANSK

关键词: planar dynamical system;    topological degree;    Conley index;    local phase portrait;   

DOI  :  10.2996/kmj/1138043594

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(26)The local scheme for an equilibrium state of an analytic planar dynamical systems is investigated. Upper bounds of the numbers of elliptic and hyperbolic sectors are derived. Methods of singularity theory are applied to obtain appropriate estimations in terms of indices of maps explicitly constructed from a vector field.

【 授权许可】

Unknown