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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.)

Lyapunov graphs for circle valued functions

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Author(s):
de Rezende, Ketty A. [1] ; Ledesma, Guido G. E. [2] ; Manzoli-Neto, Oziride [3] ; Vago, Gioia M. [4]
Total Authors: 4
Affiliation:
[1] Univ Estadual Campinas, Dept Math, IMECC, Campinas, SP - Brazil
[2] Univ Estado Rio De Janeiro, Dept Math, Rio De Janeiro, RJ - Brazil
[3] Univ Sao Paulo, Dept Math, Sao Paulo - Brazil
[4] Univ Bourgogne Franche Comte, F-21000 Dijon - France
Total Affiliations: 4
Document type: Journal article
Source: Topology and its Applications; v. 245, p. 62-91, AUG 15 2018.
Web of Science Citations: 1
Abstract

Conley index theory is used to obtain results for flows associated to circular Lyapunov functions defined on general compact smooth n-manifolds. This is done in terms of their underlying circular Lyapunov digraphs, which are generalizations of Morse digraphs, by extensively studying their combinatorics, invariants and realizability. (C) 2018 Elsevier B.V. All rights reserved. (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