On the Limit Cycles of a Class of Planar Singular Perturbed Differential EquationsReport as inadecuate




On the Limit Cycles of a Class of Planar Singular Perturbed Differential Equations - Download this document for free, or read online. Document in PDF available to download.

The Scientific World Journal - Volume 2014 2014, Article ID 379897, 10 pages -

Research ArticleDepartment of Mathematics, Jiangsu University, Zhenjiang 212013, China

Received 7 December 2013; Accepted 10 February 2014; Published 31 March 2014

Academic Editors: M. Han, Z. Jin, and Y. Xia

Copyright © 2014 Yuhai Wu and Jingjing Zhou. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Relaxation oscillations of two-dimensional planar singular perturbed systems with a layer equation exhibiting canard cycles are studied. The canard cycles under consideration contain two turning points and two jump points. We suppose that there exist three parameters permitting generic breaking at both the turning points and the connecting fast orbit. The conditions of one resp., two, three relaxation oscillation near the canard cycles are given by studying a map from the space of phase parameters to the space of breaking parameters.





Author: Yuhai Wu and Jingjing Zhou

Source: https://www.hindawi.com/



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