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Limit cycles for planar piecewise linear differential systems via first integrals.

Authors :
Llibre, Jaume
Nuñez, Eduardo
Teruel, Antonio
Source :
Qualitative Theory of Dynamical Systems; Mar2002, Vol. 3 Issue 1, p29-50, 22p
Publication Year :
2002

Abstract

Using first integrals we introduce an alternative tool to the Poincaré maps in order to study the limit cycles of piecewise linear differential systems. It is also shown that an usual relaxation oscillation phenomenon occurrs in a two-parameter family of planar piecewise linear vector fields. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
15755460
Volume :
3
Issue :
1
Database :
Complementary Index
Journal :
Qualitative Theory of Dynamical Systems
Publication Type :
Academic Journal
Accession number :
49382254
Full Text :
https://doi.org/10.1007/BF02969332