| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia - Spain
[2] Univ Fed Sao Carlos, Dept Phys Chem & Math, BR-18052780 Sorocaba, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 413, n. 2, p. 763-775, MAY 15 2014. |
| Web of Science Citations: | 34 |
| Abstract | |
In this paper we study the maximum number of limit cycles given by the averaging theory of first order for discontinuous differential systems, which can bifurcate from the periodic orbits of the quadratic isochronous centers (x) over dot = -y + x(2), (y) over dot = x + xy and (x) over dot = -y + x(2) - y(2), (y) over dot = x + 2xy when they are perturbed inside the class of all discontinuous quadratic polynomial differential systems with the straight line of discontinuity y = 0. Comparing the obtained results for the discontinuous with the results for the continuous quadratic polynomial differential systems, this work shows that the discontinuous systems have at least 3 more limit cycles surrounding the origin than the continuous ones. (C) 2013 Elsevier Inc. All rights reserved. (AU) | |
| FAPESP's process: | 12/20884-8 - Periodic orbits in non-smooth systems |
| Grantee: | Ana Cristina de Oliveira Mereu |
| Support Opportunities: | Scholarships abroad - Research |