4 papers
Coarse non-wandering sets and their filtration
Tomoo Yokoyama
This paper investigates recurrence properties of dynamical systems under the restriction that control is available only through inputs and outputs. We introduce the concept of ``co…
Structural stability and generic transitions of "incompressible" line fields on surfaces
Tomoo Yokoyama
Various line fields naturally arise on surfaces in both physical and biological contexts, and generic singularities frequently appear in the form of 1-prong (thorn-like) and 3-pron…
Coarse chain recurrence, Morse graphs with finite errors, and persistence of circulations
Tomoo Yokoyama
This paper provides a unified framework connecting dynamical systems with tools from topological data analysis and geometric topology and inspires new interactions among dynamical…
Length averages for codimension one foliations
Masayuki Asaoka, Yushi Nakano, Paulo Varandas +1
In this paper we study geometrical and dynamical properties of codimension one foliations, by exploring a relation between length averages and ball averages of certain group action…