On cyclicity in discontinuous piecewise linear near-Hamiltonian differential systems with three zones having a saddle in the central one
Author:
Publisher
Springer Science and Business Media LLC
Subject
Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering
Link
https://link.springer.com/content/pdf/10.1007/s11071-023-08931-8.pdf
Reference44 articles.
1. Braga, D.C., Mello, L.F.: Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane. Nonlin. Dyn. 73, 1283–1288 (2013). https://doi.org/10.1007/s11071-013-0862-3
2. Buzzi, C.A., Pessoa, C., Torregrosa, J.: Piecewise linear perturbations of a linear center. Discrete Contin. Dyn. Syst. 33, 3915–3936 (2013). https://doi.org/10.3934/dcds.2013.33.3915
3. Carmona, V., Fernández-Sánchez, F., Novaes, D.D.: Uniform upper bound for the number of limit cycles of planar piecewise linear differential systems with two zones separated by a straight line. Appl. Math. Lett. 137, 108501, 8 (2023). https://doi.org/10.1016/j.aml.2022.108501
4. Carmona, V., Fernández-Sánchez, F., Novaes, D.D.: A new simple proof for Lum–Chua’s conjecture. Nonlinear Anal. Hybrid Syst. 40, 100992, 7 (2021). https://doi.org/10.1016/j.nahs.2020.100992
5. Coombes, S.: Neuronal networks with gap junctions: a study of piecewise linear planar neuron models. SIAM Appl. Dyn. Syst. 7, 1101–1129 (2008). https://doi.org/10.1137/070707579
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