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math.DS2026
Global solution curves for first order periodic problems, with applications
Philip Korman, Dieter S. Schmidt
Using continuation methods and bifurcation theory, we study the exact multiplicity of periodic solutions, and the global solution structure, for periodic problems of first order. T…
math.DS2016
Bounding Solutions of a Forced Oscillator
K. R. Meyer, D. S. Schmidt
Our proof is based on a generalization of action-angle variables, a convergent Lie transformation, and Moser's invariant curve theorem. As an overall outline we give a quick proof…