کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4637334 1340739 2006 15 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Computing Lyapunov exponents based on the solution expression of the variational system
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
Computing Lyapunov exponents based on the solution expression of the variational system
چکیده انگلیسی

A simple discrete QR algorithm based on a solution expression of the variational equation of a dynamical system is presented for computing the Lyapunov exponents of n-dimensional continuous dynamical systems. The developed numerical scheme of study is based on a time integration using a constant time-step fourth-order Adams–Bashforth method. Numerical results are presented for a Lorenz system with known Lyapunov exponents, and higher dimensional dynamical systems. The algorithm proposed to compute the Lyapunov exponents is found to be robust, computationally efficient, and stable for a sufficiently small step-size h.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics and Computation - Volume 174, Issue 2, 15 March 2006, Pages 982–996
نویسندگان
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