• Corpus ID: 239024760

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… 
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