Uniqueness of limit cycles for sewing planar piecewise linear systems

By Joao C. Medrado, Joan Torregrosa. 2015

62 citations recorded by the source corpus.

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.

Subfields: Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/f567bb045f0b5028f44d74b3ab06d46897f95c50

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In Geometry and Topology

1. Juan Castillo
2. Fernando Verduzco
3. Jaume Llibre
4. Xiang Zhang
5. Douglas Duarte Novaes
6. Maite Grau
7. Maoan Han
8. Isaac A. García

Citations in the corpus

• The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems (2017, background): “The appearance of a crossing limit cycle may occur in cases where there is not sliding segment, see [9, 21, 25].”