| Full text | |
| Author(s): |
Martins, Ricardo Miranda
;
Mereu, Ana Cristina
Total Authors: 2
|
| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 20, p. 7-pg., 2014-12-01. |
| Abstract | |
We study the number of limit cycles which can bifurcate from the periodic orbits of a linear center perturbed by nonlinear functions inside the class of all classical polynomial Lienard differential equations allowing discontinuities. In particular our results show that for any n >= 1 there are differential equations of the form (x) over dot+f (x)(x) over dot + x+sgn( (x) over dot)g(x) = 0, with f and g polynomials of degree n and 1 respectively, having [n/2] 1 limit cycles, where [.] denotes the integer part function. (C) 2014 Elsevier Ltd. All rights reserved. (AU) | |
| FAPESP's process: | 10/13371-9 - Synchronization of non-smooth dynamical systems |
| Grantee: | Ricardo Miranda Martins |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 12/06879-1 - Non-smooth dynamical systems: qualitative theory and structural stability |
| Grantee: | Ricardo Miranda Martins |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/18780-0 - Geometry of control systems, dynamical and stochastics systems |
| Grantee: | Marco Antônio Teixeira |
| Support Opportunities: | Research Projects - Thematic Grants |