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Uniqueness of limit cycles for sewing planar piecewise linear systems.

Authors :
Medrado, João C.
Torregrosa, Joan
Source :
Journal of Mathematical Analysis & Applications. Nov2015, Vol. 431 Issue 1, p529-544. 16p.
Publication Year :
2015

Abstract

This paper proves the uniqueness of limit cycles for sewing planar piecewise linear systems with two zones separated by a straight line, Σ, and only one Σ-singularity of monodromic type. The proofs are based in an extension of Rolle's Theorem for dynamical systems on the plane. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*UNIQUENESS (Mathematics)
*LIMITS (Mathematics)
*PIECEWISE linear topology
*LINEAR systems
*LIMIT cycles
*MATHEMATICAL proofs

Details

Language :
English
ISSN :
0022247X
Volume :
431
Issue :
1
Database :
Academic Search Index
Journal :
Journal of Mathematical Analysis & Applications
Publication Type :
Academic Journal
Accession number :
103427680
Full Text :
https://doi.org/10.1016/j.jmaa.2015.05.064
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