title: On the limit cycles of a class of planar singular perturbed differential equations.
abstract: Relaxation oscillations of two-dimensional planar singular perturbed systems with a layer equation exhibiting canard cycles are studied. The canard cycles under consideration contain two turning points and two jump points. We suppose that there exist three parameters permitting generic breaking at both the turning points and the connecting fast orbit. The conditions of one (resp., two, three) relaxation oscillation near the canard cycles are given by studying a map from the space of phase parameters to the space of breaking parameters.
authors.affiliation: Department of Mathematics, Jiangsu University, Zhenjiang 212013, China.
authors.forename: Yuhai
authors.identifier: 0000-0002-1112-5664
authors.initials: Y
authors.lastname: Wu
authors.affiliation: Department of Mathematics, Jiangsu University, Zhenjiang 212013, China.
authors.forename: Jingjing
authors.initials: J
authors.lastname: Zhou
mesh_terms: D003198:Computer Simulation; D008962:Models, Theoretical; D017711:Nonlinear Dynamics