Admissibility and generalized nonuniform dichotomies for nonautonomous Random Dynamical Systems
In this paper, we introduce generalized dichotomies for nonautonomous random linear dynamical systems acting on arbitrary Banach spaces, and obtain their complete characterization in terms of an appropriate admissibility property. These generalized dichotomies are associated to growth rates satisfyi...
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| creator | Dragicevic, Davor Silva, Cesar M Vilarinho, Helder |
| description | In this paper, we introduce generalized dichotomies for nonautonomous random
linear dynamical systems acting on arbitrary Banach spaces, and obtain their
complete characterization in terms of an appropriate admissibility property.
These generalized dichotomies are associated to growth rates satisfying mild
conditions and they include the standard exponential behavior as a very
particular case. As a nontrivial application, we establish the robustness
property of such dichotomies under small (linear) perturbations. |
| doi_str_mv | 10.48550/arxiv.2410.13697 |
| format | Article |
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linear dynamical systems acting on arbitrary Banach spaces, and obtain their
complete characterization in terms of an appropriate admissibility property.
These generalized dichotomies are associated to growth rates satisfying mild
conditions and they include the standard exponential behavior as a very
particular case. As a nontrivial application, we establish the robustness
property of such dichotomies under small (linear) perturbations.</description><identifier>DOI: 10.48550/arxiv.2410.13697</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>2024-10</creationdate><rights>http://creativecommons.org/licenses/by/4.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,777,882</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/2410.13697$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.2410.13697$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Dragicevic, Davor</creatorcontrib><creatorcontrib>Silva, Cesar M</creatorcontrib><creatorcontrib>Vilarinho, Helder</creatorcontrib><title>Admissibility and generalized nonuniform dichotomies for nonautonomous Random Dynamical Systems</title><description>In this paper, we introduce generalized dichotomies for nonautonomous random
linear dynamical systems acting on arbitrary Banach spaces, and obtain their
complete characterization in terms of an appropriate admissibility property.
These generalized dichotomies are associated to growth rates satisfying mild
conditions and they include the standard exponential behavior as a very
particular case. As a nontrivial application, we establish the robustness
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linear dynamical systems acting on arbitrary Banach spaces, and obtain their
complete characterization in terms of an appropriate admissibility property.
These generalized dichotomies are associated to growth rates satisfying mild
conditions and they include the standard exponential behavior as a very
particular case. As a nontrivial application, we establish the robustness
property of such dichotomies under small (linear) perturbations.</abstract><doi>10.48550/arxiv.2410.13697</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Dynamical Systems |
| title | Admissibility and generalized nonuniform dichotomies for nonautonomous Random Dynamical Systems |
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