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This leads to difficulties in dealing with singular dynamics, i. Two methods have been proposed to analyze this situation: the steep sigmoid framework based on singular perturbation techniques and the Filippov theory of differential inclusions. Here we revisit these approaches and singular dating app their relationship. We present 3-dimensional examples that do not fit the classical singular perturbation theory and for which even Filippov solutions may not be meaningful.
We therefore suggest a generalization of the classical singular perturbation techniques that is based on the Artstein theory of dynamic nonstationary limits of the fast flow. European Journal of Applied Mathematics SIAM Review Hidden Dynamics, Crossref Arcady Ponosov and Eugene Stepanov. Crossref Piecewise smooth systems near a co-dimension 2 discontinuity manifold: Can one say what should happen?.
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