Titlebar

Export bibliographic data
Literature by the same author
plus on the publication server
plus at Google Scholar

 

A uniform exponential spectrum for linear flows on vector bundles

DOI zum Zitieren der Version auf EPub Bayreuth: https://doi.org/10.15495/EPub_UBT_00005462
URN to cite this document: urn:nbn:de:bvb:703-epub-5462-2

Title data

Grüne, Lars:
A uniform exponential spectrum for linear flows on vector bundles.
Bayreuth , 2000

[img]
Format: PDF
Name: gruene_jdde_2000.pdf
Version: Published Version
Available under License Creative Commons BY 4.0: Attribution
Download (213kB)

Abstract

For a linear flow on a vector bundle we define a uniform exponential spectrum. For a compact invariant set for the projected flow we obtain this spectrum by taking all accumulation points for the time tending to infinity of the union over the finite time exponential growth rates for all initial values in this set. Using direct arguments we show that for a connected compact invariant set this spectrum is a closed interval whose boundary points are Lyapunov exponents. For a compact invariant set on which the flow is chain transitive we show that this spectrum coincides with the Morse spectrum. In particular this approach admits a straightforward analytic proof for the regularity and continuity properties of the Morse spectrum without using cohomology or ergodicity results.

Further data

Item Type: Preprint, postprint
Additional notes (visible to public): erschienen In:
Journal of Dynamics and Differential Equations. Bd. 12 (März 2000) Heft 2 . - S. 435-448
Keywords: linear flow; uniform; exponential spectrum; Lyapunov exponent; accumulation point
DDC Subjects: 500 Science
500 Science > 510 Mathematics
Institutions of the University: Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne
Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics)
Language: English
Originates at UBT: Yes
URN: urn:nbn:de:bvb:703-epub-5462-2
Date Deposited: 07 May 2021 06:42
Last Modified: 07 May 2021 06:43
URI: https://epub.uni-bayreuth.de/id/eprint/5462

Downloads

Downloads per month over past year