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Finite-time Lyapunov exponents vectors

The aim of this chapter is twofold. One is to give a new method for computing finite-time Lyapunov exponents and vectors in many-dimensional dynamical systems, and the other is to discuss the Lyapunov instability of a cj)4 model with this method. [Pg.501]

Now we introduce the finite-time Lyapunov exponents and corresponding vectors, utilizing the SVD of the stability matrix. The SVD of any n x n matrix, say A, is a matrix factorization [18]... [Pg.504]

Now we present our novel method for computing accurate values of finite-time Lyapunov exponents and vectors, by correcting the finite-time error in [24], To this end, we construct a sequence of refinements U 1], d, r, and Vik] (k = 0,1,2,...) satisfying... [Pg.508]

G. Lapeyre. Characterization of finite-time Lyapunov exponents and vectors in two-dimensional turbulence. Chaos, 12 688-698, 2002. [Pg.267]

The ordinary (i.e., infinite-time) Lyapunov exponents and vectors are given by the tf —> oo limits of the associating finite-time Lyapunov quantities ... [Pg.505]

See other pages where Finite-time Lyapunov exponents vectors is mentioned: [Pg.501]    [Pg.502]    [Pg.503]    [Pg.508]    [Pg.511]    [Pg.512]    [Pg.517]   
See also in sourсe #XX -- [ Pg.503 , Pg.504 ]

See also in sourсe #XX -- [ Pg.503 , Pg.504 ]



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Finite-time Lyapunov exponents

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