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On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line.
- Source :
-
Journal of Mathematical Analysis & Applications . Apr2015, Vol. 424 Issue 1, p475-486. 12p. - Publication Year :
- 2015
-
Abstract
- In this paper we study the maximum number N of limit cycles that can exhibit a planar piecewise linear differential system formed by two pieces separated by a straight line. More precisely, we prove that this maximum number satisfies 2 ≤ N ≤ 4 if one of the two linear differential systems has its equilibrium point on the straight line of discontinuity. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 424
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 100006195
- Full Text :
- https://doi.org/10.1016/j.jmaa.2014.10.077