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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.)

GLOBAL PHASE PORTRAITS OF UNIFORM ISOCHRONOUS CENTERS WITH QUARTIC HOMOGENEOUS POLYNOMIAL NONLINEARITIES

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Author(s):
Itikawa, Jackson [1] ; Llibre, Jaume [1]
Total Authors: 2
Affiliation:
[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona - Spain
Total Affiliations: 1
Document type: Journal article
Source: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B; v. 21, n. 1, p. 121-131, JAN 2016.
Web of Science Citations: 2
Abstract

We classify the global phase portraits in the Poincare disc of the differential systems x = y + x f(x,y), y = x + y f(x,y), where f(x,y) is a homogeneous polynomial of degree 3. These systems have a uniform isochronous center at the origin. This paper together with the results presented in {[}9] completes the classification of the global phase portraits in the Poincare disc of all quartic polynomial differential systems with a uniform isochronous center at the origin. (AU)

FAPESP's process: 11/21898-0 - The center-focus problem in cubic nilpotent and degenerate polynomial systems
Grantee:Jackson Itikawa
Support Opportunities: Scholarships in Brazil - Doctorate