Nonuniform dichotomy spectrum and reducibility for nonautonomous equations

2014/02/10 by Jifeng Chu, Fangfang Liao, Chu, Jifeng +7
Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Stability and Controllability of Differential Equations

paper · pdf · doi:10.48550/arxiv.1402.2067

openalex publication_date 2014/02/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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