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arXiv · 2606.14265

Normal Forms for Rough Differential Equations

Gideon Chiusole·Christian Kuehn·Maximilian Semenowicz
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Abstract

We address the existence of normal forms for rough ordinary differential equations. We assume suitable smoothness and the hyperbolicity of an equilibrium point. In this context, we establish local formal equivalence of the two solution flows generated by a random nonlinear RDE and its linearized version. This provides the foundation for extending normal form theory to rough differential equations.

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Gideon Chiusole, Christian Kuehn, Maximilian Semenowicz. 2026-06-12. Normal Forms for Rough Differential Equations. https://arxiv.org/abs/2606.14265

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