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The discontinuous matching of two planar linear foci can have three nested crossing limit cycles

The discontinuous matching of two planar linear foci can have three nested crossing limit cycles

The existence and stability of limit cycles in discontinuous piecewise linear systems obtained by the aggregation of two linear systems of focus type and having only one equilibrium point is considered.By using an adequate canonical form with five parameters, a thorough study of some Poincaré maps is performed.Different bifurcations which …