| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona - Spain
[2] Univ Estadual Campinas, Dept Matemat, Rua Sergio Buarque de Holanda, 651, Cidade Univ, BR-13083859 Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Differential Equations; v. 266, n. 7, p. 4170-4203, MAR 15 2019. |
| Web of Science Citations: | 3 |
| Abstract | |
We study the number of limit cycles bifurcating from a piecewise quadratic system. All the differential systems considered are piecewise in two zones separated by a straight line. We prove the existence of 16 crossing limit cycles in this class of systems. If we denote by H-p (n) the extension of the Hilbert number to degree n piecewise polynomial differential systems, then H-p (2) >= 16. As fas as we are concerned, this is the best lower bound for the quadratic class. Moreover, in the studied cases, all limit cycles appear nested bifurcating from a period annulus of a isochronous quadratic center. (C) 2018 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 16/11471-2 - Sliding motion in discontinuous dynamical systems: periodic solutions, homoclinic connections, and nonlinear sliding modes |
| Grantee: | Douglas Duarte Novaes |
| Support Opportunities: | Regular Research Grants |