Lyapunov Spectral Intervals: Theory and Computation
نویسندگان
چکیده
منابع مشابه
Lyapunov Spectral Intervals: Theory and Computation
Different definitions of spectra have been proposed during the years to characterize the asymptotic behavior of nonautonomous linear systems. Here, we consider the spectrum based on exponential dichotomy of Sacker and Sell and the spectrum defined in terms of upper and lower Lyapunov exponents. A main goal of ours is to understand to what extent these spectra are computable. By using an orthogo...
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In this work, we show that for linear upper triangular systems of differential equations, we can use the diagonal entries to obtain the Sacker and Sell, or Exponential Dichotomy, and also –under some restrictions– the Lyapunov spectral intervals. Since any bounded and continuous coeficient matrix function can be smoothly transformed to an upper triangular matrix function, our results imply that...
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Pavel V. Kuptsov ∗ and Ulrich Parlitz 3 Department of Instrumentation Engineering, Saratov State Technical University, Politekhnicheskaya 77, Saratov 410054, Russia Biomedical Physics Group, Max Planck Institute for Dynamics and Self-Organization, Am Faßberg 17, 37077 Göttingen, Germany Institute for Nonlinear Dynamics, Georg–August–Universität Göttingen, Am Fassberg 17, 37077 Göttingen, German...
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ژورنال
عنوان ژورنال: SIAM Journal on Numerical Analysis
سال: 2002
ISSN: 0036-1429,1095-7170
DOI: 10.1137/s0036142901392304