Time-Varying Vector Fields and Their Flows

• Main Authors: Jafarpour, Saber (Author), Lewis, Andrew D. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Topological groups.; Lie groups.; Dynamics.; Ergodic theory.; System theory.; Systems Theory, Control.; Dynamical Systems and Ergodic Theory.; Topological Groups, Lie Groups.

This short book provides a comprehensive and unified treatment of time-varying vector fields under a variety of regularity hypotheses, namely finitely differentiable, Lipschitz, smooth, holomorphic, and real analytic. The presentation of this material in the real analytic setting is new, as is the m...

Table of Contents:

• Introduction
• Fibre Metrics for Jet Bundles
• Finitely Differentiable, Lipschitz, and Smooth Topologies
• The COhol-topology for the Space of Holomorphic Vector Fields
• The Cw-topology for the Space of Real Analytic Vector Fields
• Time-Varying Vector Fields
• References.