Katok-Hasselblatt-kinematic expansive flows
Huynh Minh Hien
TL;DR
This paper introduces KH-kinematic expansivity, a new concept combining Katok-Hasselblatt and kinematic expansivity, and explores its properties and hierarchical structure.
Contribution
It proposes a novel notion of expansive flows, expanding the theoretical framework of dynamical systems with new properties and classifications.
Findings
Defined KH-kinematic expansivity
Established properties of various expansivity types
Presented a hierarchy of expansive flows
Abstract
In this paper we introduce a new notion of expansive flows, which is the combination of expansivity in the sense of Katok and Hasselblatt and kinematic expansivity, named KH-kinematic expansivity. We present new properties of several variations of expansivity. A new hierarchy of expansive flows is given.
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Taxonomy
TopicsMathematical Dynamics and Fractals · Advanced Differential Equations and Dynamical Systems · Chaos control and synchronization