# Complete decoupling of systems of ordinary second-order differential equations

@inproceedings{Sarlet1997CompleteDO, title={Complete decoupling of systems of ordinary second-order differential equations}, author={W. Sarlet}, year={1997} }

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…

## 2 Citations

Compatibility aspects of the method of phase synchronization for decoupling linear second-order differential equations

- MathematicsJournal of Geometric Mechanics
- 2021

The so-called method of phase synchronization has been advocated in a number of papers as a way of decoupling a system of linear second-order differential equations by a linear transformation of…

Linearization criteria for a system of second-order quadratically semi-linear ordinary differential equations

- Mathematics
- 2007

Conditions are derived for the linearizability via invertible maps of a system of n second-order quadratically semi-linear differential equations that have no lower degree lower order terms in them,…

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