Convergence of Singular Vectors toward Lyapunov Vectors
نویسندگان
چکیده
منابع مشابه
On the Singular Vectors of the Generalized Lyapunov Operator
In this paper, we study the largest and the smallest singular vectors of the generalized Lyapunov operator. For real matrices A,B with order n , we prove that max‖X‖F =1 ‖AXBT + BXA‖F is achieved by a symmetric matrix for n 3 and give a counterexample for order n = 4 . We also prove that min‖X‖F =1 ‖AXBT +BXA‖F is achieved by a symmetric matrix for n 2 and give a counterexample for order n = 3 ...
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The dynamics of the growth of linear disturbances to a chaotic basic state is analyzed in an asymptotic model of weakly nonlinear, baroclinic wave-mean interaction. In this model, an ordinary differential equation for the wave amplitude is coupled to a partial differential equation for the zonal flow correction. The leading Lyapunov vector is nearly parallel to the leading Floquet vector φ1 of ...
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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: Monthly Weather Review
سال: 1999
ISSN: 0027-0644,1520-0493
DOI: 10.1175/1520-0493(1999)127<2309:cosvtl>2.0.co;2