Topological dynamics and linear differential systems
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Publication:1172309
DOI10.1016/0022-0396(82)90023-7zbMath0501.58033OpenAlexW2017346284MaRDI QIDQ1172309
Robert Ellis, Russell A. Johnson
Publication date: 1982
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-0396(82)90023-7
almost periodic differential equationsminimal flowscocycle flowsLiapunov-Perron transformationlinear non-autonomous recurrent differential equations
Linear ordinary differential equations and systems (34A30) Dynamics induced by flows and semiflows (37C10) Complex behavior and chaotic systems of ordinary differential equations (34C28)
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Ergodic theory of differentiable dynamical systems
- On the construction of minimal skew products
- Existence of dichotomies and invariant splittings for linear differential systems. I
- A spectral theory for linear differential systems
- Dichotomies in stability theory
- Cocycles in topological dynamics
- Orbit spaces of unitary representations, ergodic theory, and simple Lie groups
- On the reducibility of almost periodic systems of linear differential equations
- On a Floquet theory for almost-periodic, two-dimensional linear systems
- Dichotomies and reducibility
- Dichotomies and reducibility. II
- Two-Dimensional, Almost Periodic Linear Systems with Proximal and Recurrent Behavior
- Ergodic Equivalence Relations, Cohomology, and Von Neumann Algebras. I
- Topological dynamics
- Strict Ergodicity and Transformation of the Torus
