2024-01-312024-01-312019-05Carmona Centeno, V., Fernández García, S. y Teruel, A.E. (2019). Saddle-node of limit cycles in planar piecewise linear systems and applications. Discrete and Continuous Dynamical Systems, 39 (9), 5275-5299. https://doi.org/10.3934/dcds.2019215.1078-09471553-5231https://hdl.handle.net/11441/154287In this article, we prove the existence of a saddle-node bifurcation of limit cycles in continuous piecewise linear systems with three zones. The bifurcation arises from the perturbation of a non-generic situation, where there exists a linear center in the middle zone. We obtain an approximation of the relation between the parameters of the system, such that the saddle-node bifurcation takes place, as well as of the period and amplitude of the non-hyperbolic limit cycle that bifurcates. We consider two applications, first a piecewise linear version of the FitzHugh-Nagumo neuron model of spike generation and second an electronic circuit, the memristor oscillator.application/pdf25 p.engAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Piecewise linear systemsBifurcationsSaddle-node of limit cyclesNeuroscienceinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccess10.3934/dcds.2019215