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Two-variable singular perturbation analysis

I am having difficulty with a two-variable singular perturbation analysis on a set of ODE's. … If I begin with a perturbation of the form: $$ x = x_0 + \varepsilon x_{\varepsilon} + \delta x_{\delta} + \varepsilon^2 x_{\varepsilon\varepsilon} + \delta^2 x_{\delta\delta} + \varepsilon\delta x_{\varepsilon …
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