• Corpus ID: 56054530

Complete decoupling of systems of ordinary second-order differential equations

  title={Complete decoupling of systems of ordinary second-order differential equations},
  author={W. Sarlet},
A theory is presented leading to a geometric characterization of separable systems of second-order ordinary differential equations. The idea is that such a characterization should provide necessary and sufficient conditions for the existence of coordinates, with respect to which a given system decouples. The specific problem of decoupling is merely chosen as a motivation to review differential geometric tools for the description of second-order dynamical systems. In particular, a survey is… 
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