Lyapunov functions for dichotomies in mean
dc.contributor.author | Barreira, Luis | |
dc.contributor.author | Valls, Claudia | |
dc.date.accessioned | 2022-08-08T18:18:45Z | |
dc.date.available | 2022-08-08T18:18:45Z | |
dc.date.issued | 2017-10-10 | |
dc.description.abstract | We consider the notion of an exponential dichotomy in mean for a cocycle, in which the exponential behavior in the classical notion of an exponential dichotomy is replaced by an average with respect to an invariant probability measure. We give a complete characterization of the exponential behavior in mean in terms of Lyapunov functions, both for cocycles over maps and flows. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 12 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Barreira, L., & Valls, C. (2017). Lyapunov functions for dichotomies in mean. <i>Electronic Journal of Differential Equations, 2017</i>(252), pp. 1-12. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/16046 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2017, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Exponential dichotomies in mean | |
dc.subject | Lyapunov functions | |
dc.title | Lyapunov functions for dichotomies in mean | |
dc.type | Article |