Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
classification
🧮 math.DS
keywords
nonuniformspectrumdichotomyequationsnonautonomousprovereducibilityspectral
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For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of Sacker-Sell spectrum. We prove a spectral theorem and use the spectral theorem to prove a reducibility result.
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