2008/05/02 by F. Blanchard, François Blanchard, Blanchard, François · 1 citation
Mathematics · Physics and Astronomy · #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Dynamics and Fractals #Primary 37B05 #Quantum chaos and dynamical systems #Secondary 54H20 #math.DS #msc:37B05 #msc:54H20
paper · pdf · doi:10.48550/arxiv.0805.0232
arxiv created 2008/05/02 · openalex publication_date 2008/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We confront existing definitions of chaos with the state of the art in topological dynamics. The article does not propose any new definition of chaos but, starting from several topological properties that can be reasonably called chaotic, tries to sketch a theoretical view of chaos. Among the main ideas in this article are the distinction between overall chaos and partial chaos, and the fact that some dynamical properties may be considered more chaotic than others.