کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
1899807 | 1534063 | 2010 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Computation of invariant tori by Newton–Krylov methods in large-scale dissipative systems
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
ریاضیات کاربردی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A method to compute invariant tori in high-dimensional systems, obtained as discretizations of PDEs, by continuation and Newton–Krylov methods is described. Invariant tori are found as fixed points of a generalized Poincaré map so that the dimension of the system of equations to be solved is that of the original system. Due to the dissipative nature of the problems studied, the convergence of the linear solvers is extremely fast. The computation of periodic orbits inside the Arnold’s tongues is also considered. Thermal convection of a binary mixture of fluids, in a rectangular cavity, has been used to test the method.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica D: Nonlinear Phenomena - Volume 239, Issues 3–4, February 2010, Pages 123–133
Journal: Physica D: Nonlinear Phenomena - Volume 239, Issues 3–4, February 2010, Pages 123–133
نویسندگان
J. Sánchez, M. Net, C. Simó,