Continuation of periodic orbits in large-scale dissipative systems

被引：4

作者：

Sánchez, J ^{[1
]}

Net, M ^{[1
]}

García-Archilla, B ^{[1
]}

Simó, C ^{[1
]}

机构：

[1] Univ Politecn Catalunya, Dept Fis Aplicada, ES-08034 Barcelona, Spain

来源：

EQUADIFF 2003: INTERNATIONAL CONFERENCE ON DIFFERENTIAL EQUATIONS | 2005年

关键词：

D O I：

10.1142/9789812702067_0104

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a numerical algorithm for the continuation of periodic orbits of high-dimensional dissipative dynamical systems. It is based on single shooting and Newton-Krylov methods. A non-trivial fluid dynamics problem, which after a pseudo-spectral discretization gives rise to a system of dimension O(10(4)), has been used as test. The efficiency of the algorithm, which allows the unfolding of a complex bifurcation diagram of periodic orbits, shows the suitability of the method for large-scale nonlinear dissipative partial differential equations.

引用

页码：625 / 630

页数：6

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