Lyapunov stability of the equilibrium of the non-local continuity equation

The paper is concerned with the development of Lyapunov methods for the analysis of equilibrium stability in a dynamical system on the space of probability measures driven by a non-local continuity equation. We derive sufficient conditions of stability of an equilibrium distribution relying on an an...

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Veröffentlicht in:	arXiv.org 2024-10
Hauptverfasser:	Aveboukh, Yurii, Volkov, Aleksei
Format:	Artikel
Sprache:	eng
Schlagworte:	Continuity equation Dynamical systems Gradient flow Liapunov functions Quadratic forms Stability analysis
Online-Zugang:	Volltext
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