Eine neue Methode zur Approximation periodischer Lösungen nicht-linearer Differentialgleichungen zweiter Ordnung.
Wachstum und oszillatorisches Verhalten von Lösungen linearer Differentialgleichungen zweiter Ordnung.
Die Seltenheit der reudziblen Polynome.
Observability of nonlinear systems
Observability of a general nonlinear system—given in terms of an ODE and an output map —is defined as in linear system theory (i.e. if and ). In contrast to standard treatment of the subject we present a criterion for observability which is not a generalization of a known linear test. It is obtained by evaluation of “approximate first integrals”. This concept is borrowed from nonlinear control theory where it appears under the label “Dissipation Inequality” and serves as a link with Hamilton-Jacobi...
Invariant manifolds and the concept of asymptotic phase
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