CONNECTION MATRICES FOR MORSE-BOTT FLOWS

Lima, Dahisy V. de S.; de Rezende, Ketty A.

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

CONNECTION MATRICES FOR MORSE-BOTT FLOWS

Author(s):	Lima, Dahisy V. de S. ^[1] ; de Rezende, Ketty A. ^[1] Total Authors: 2
Affiliation:	^[1] Univ Estadual Campinas, Dept Matemat, BR-1308385 Campinas, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS; v. 44, n. 2, p. 471-495, DEC 2014.
Web of Science Citations:	0
Abstract
A Connection Matrix Theory approach is presented for Morse-Bott flows phi on smooth closed n-manifolds by characterizing the set of connection matrices in terms of Morse-Smale perturbations. Further results are obtained on the effect on the set of connection matrices CM(S) caused by changes in the partial orderings and in the Morse decompositions of an isolated invariant set S. (AU)

FAPESP's process:	12/18780-0 - Geometry of control systems, dynamical and stochastics systems
Grantee:	Marco Antônio Teixeira
Support Opportunities:	Research Projects - Thematic Grants


FAPESP's process:	10/08579-0 - Transition Matrices associated with the Morse-Witten Complex
Grantee:	Dahisy Valadão de Souza Lima
Support Opportunities:	Scholarships in Brazil - Doctorate

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