The Bohl spectrum for linear nonautonomous differential equations

DOI10.1007/s10884-016-9530-xzbMath1383.34019arXiv1507.01230OpenAlexW3098261218WikidataQ59615383 ScholiaQ59615383MaRDI QIDQ1692101

Martin Rasmussen, Thai Son Doan, Kenneth James Palmer

Publication date: 26 January 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.01230

zbMATH Keywords

Lyapunov exponentSacker-Sell spectrumBohl spectrumBohl exponentnonautonomous linear differential equation

Mathematics Subject Classification ID

Linear ordinary differential equations and systems (34A30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Random dynamical systems aspects of multiplicative ergodic theory, Lyapunov exponents (37H15) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (6)

Necessary and sufficient conditions for assignability of dichotomy spectra of continuous time-varying linear systems ⋮ Detectability Conditions and State Estimation for Linear Time-Varying and Nonlinear Systems ⋮ Some relations between Bohl exponents and the exponential dichotomy spectrum ⋮ Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations ⋮ A spectral dichotomy version of the nonautonomous Markus-Yamabe conjecture ⋮ Proportional local assignability of dichotomy spectrum of one-sided continuous time-varying linear systems

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