Maximum number of limit cycles for certain piecewise linear dynamical systems
By Jaume Llibre, Douglas Duarte Novaes, Marco Antonio Teixeira. 2015
120 citations recorded by the source corpus.
Subfields: Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/99b991c6729952437d5dd90511f95d0cec643a1d
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In Geometry and Topology
- Xiang Zhang
- Jaume Llibre
- Joan Torregrosa
- Pedro Toniol Cardin
- Maite Grau
- Douglas Duarte Novaes
- Isaac A. García
- Maoan Han
Citations in the corpus
- Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center (2018, background): “In what follows we shall assume that a 6= 0 and c 6= 0, otherwise one of the two equilibria will be on the discontinuity straight line, and we know from [18] that the discontinuous piecewise linear differential system has at most 2 limit cycles.”
- Limit cycles in planar piecewise linear differential systems with nonregular separation line (2016, background): “This upper bound is decreased by two in the same cases in [23, 24].”