Linearization for systems with partially hyperbolic linear part (Q472682)
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scientific article; zbMATH DE number 6371307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearization for systems with partially hyperbolic linear part |
scientific article; zbMATH DE number 6371307 |
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Linearization for systems with partially hyperbolic linear part (English)
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19 November 2014
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The Hartman-Grobman problem of topological equivalence of the nonlinear nonautonomous system \[ x_1^\Delta = A_1(t) x_1 + f(t,x_1,x_2), \quad\quad\quad x_2^\Delta = A_2(t) x_2 \] to its linearized system is revisited. The framework is the calculus on measure chains (= time scales). There is no requirement that the second linear subsystem possess an exponential dichotomy. Within the proofs the standard methods are applied.
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Hartman-Grobman Theorem
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time scales
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measure chains
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linearization
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exponential dichotomy
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