Advanced search
Start date
Betweenand
Related content
(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Limit cycles for m-piecewise discontinuous polynomial Li,nard differential equations

Full text
Author(s):
Llibre, Jaume [1] ; Teixeira, Marco Antonio [2]
Total Authors: 2
Affiliation:
[1] Univ Autonoma Barcelona, Dept Matemat, Catalonia 08193, Barcelona - Spain
[2] Univ Estadual Campinas, Dept Matemat, BR-13083970 Campinas, SP - Brazil
Total Affiliations: 2
Document type: Journal article
Source: ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 66, n. 1, p. 51-66, FEB 2015.
Web of Science Citations: 13
Abstract

We provide lower bounds for the maximum number of limit cycles for the m-piecewise discontinuous polynomial differential equations , , where the zero set of the function sgn(g (m) (x, y)) with m = 2, 4, 6, . . . is the product of m/2 straight lines passing through the origin of coordinates dividing the plane into sectors of angle 2 pi/m, and sgn(z) denotes the sign function. (AU)

FAPESP's process: 07/06896-5 - Geometry of control, dynamical and stochastic systems
Grantee:Luiz Antonio Barrera San Martin
Support Opportunities: Research Projects - Thematic Grants