# Lorenz-like systems emerging from an integro-differential trajectory equation of a one-dimensional wave-particle entity

@inproceedings{Valani2021LorenzlikeSE, title={Lorenz-like systems emerging from an integro-differential trajectory equation of a one-dimensional wave-particle entity}, author={Rahil N. Valani}, year={2021} }

Vertically vibrating a liquid bath can give rise to a self-propelled wave-particle entity on its free surface. The horizontal walking dynamics of this wave-particle entity can be described adequately by an integro-differential trajectory equation. By transforming this integro-differential equation of motion for a one-dimensional wave-particle entity into a system of ordinary differential equations (ODEs), we show the emergence of Lorenz-like dynamical systems for various spatial wave forms of…

## One Citation

Anomalous transport of a classical wave-particle entity in a tilted potential

- PhysicsPhysical Review E
- 2022

A classical wave-particle entity in the form of a millimetric walking droplet can emerge on the free surface of a vertically vibrating liquid bath. Such wave-particle entities have been shown to…

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