On some qualitative properties of monotone linear extensions of dynamical systems
We study monotone linear extensions of dynamical systems. The problem of existence of invariant manifolds and exponential separation is investigated for linear extensions on vector bundles that preserve the order structure. We also study the relationship between the monotonicity of linear extensions...
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| Date: | 2011 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2011
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/2809 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |
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Ukrains’kyi Matematychnyi Zhurnal| Summary: | We study monotone linear extensions of dynamical systems. The problem of existence of invariant manifolds
and exponential separation is investigated for linear extensions on vector bundles that preserve the order
structure. We also study the relationship between the monotonicity of linear extensions and the existence of
bounded solutions of inhomogeneous linear extensions (weak regularity, quasiregularity). |
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