Abstract
Abstract Given a dynamical system Σp with a parameter p taking its values in a fixed interval Q, we present a simple criterion of set inclusion which guarantees that the Euler approximate solutions of Σpo for some value po ∈ Q converge to a limit cycle E. Moreover, we characterize a compact set I containing e which is invariant for the exact solutions of Σp whatever the value of p ∈ Q. We illustrate the application of our method on the example of a parametric Van der Pol system driven by a periodic input.
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