Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

Emptiness of set of points of lower semicontinuity of Lyapunov exponents

Emptiness of set of points of lower semicontinuity of Lyapunov exponents We consider parametric families of differential systems with coefficients that are bounded and continuous on the half-line and uniformly in time continuously depend on a real parameter. For each Lyapunov exponent, we construct a family such that the Lyapunov exponent of its systems treated as a function of the parameter is not a lower semicontinuous function for any value of the parameter. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Emptiness of set of points of lower semicontinuity of Lyapunov exponents

Differential Equations , Volume 52 (3) – May 11, 2016

Loading next page...
 
/lp/springer-journals/emptiness-of-set-of-points-of-lower-semicontinuity-of-lyapunov-IV1qS4BlI0

References (10)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266116030022
Publisher site
See Article on Publisher Site

Abstract

We consider parametric families of differential systems with coefficients that are bounded and continuous on the half-line and uniformly in time continuously depend on a real parameter. For each Lyapunov exponent, we construct a family such that the Lyapunov exponent of its systems treated as a function of the parameter is not a lower semicontinuous function for any value of the parameter.

Journal

Differential EquationsSpringer Journals

Published: May 11, 2016

There are no references for this article.