A general mechanism to generate three limit cycles in planar Filippov systems with two zones
By Emilio Freire, Enrique Ponce, Francisco Torres. 2014
143 citations recorded by the source corpus.
Subfields: Astronomy and Astrophysics, Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/fb2d627648148dc5eb41de27b6131d8d2b5fb49b
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Geometry and Topology
- Jaume Llibre
- Xiang Zhang
- Marco Antonio Teixeira
- Juan Castillo
- Rodrigo D. Euz'ebio
- Fernando Verduzco
- Douglas Duarte Novaes
- Maoan Han
In Statistical and Nonlinear Physics
- Jaume Llibre
- Xiang Zhang
- Marco Antonio Teixeira
- Rodrigo D. Euz'ebio
- Douglas Duarte Novaes
- Maoan Han
- Maite Grau
- Isaac A. García
Citations in the corpus
- Piecewise linear differential systems with only centers can create limit cycles? (2017, background): “It is known that such systems can have three limit cycles, see [4,5,9,11,14,16].”
- Limit cycles for discontinuous planar piecewise linear differential systems separated by one straight line and having a center (2018, methodology): “In order to reduce the number of this parameters we use the canonical forms given in [10].”
- On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line (2014, background): “Limit cycles of discontinuous piecewise linear differential systems with two pieces separated by a straight line have been studied by many authors, see for instance the articles [2, 8, 9, 11, 13, 14, 15, 20, 21, 24].”
- The pseudo-Hopf bifurcation for planar discontinuous piecewise linear differential systems (2017, background): “In the discontinuous ones we can have more than one limit cycle, either all crossing cycles or including one sliding cycle, and in fact, the determination of the number of limit cycle has been the subject of several recent papers, see [2, 3, 4, 10, 15, 16, 17, 20, 22, 23, 24].”