检索结果-南通市图书馆

Analytic approach on geometric structure of invariant manifolds of the collinear Lagrange points

在线全文

学校读者我要写书评

暂无评论

Science China(Physics,Mechanics & Astronomy) 2012年第9期55卷 1703-1712页

作者： LU Jing WANG Qi WANG ShiMin School of Aeronautics Science and Engineering Beihang University Beijing 100191 China

An analytical method is proposed to find geometric structures of stable,unstable and center manifolds of the collinear Lagrange *** a transformed space,where the linearized equations are in Jordan canonical form,these invariant manifolds can be approximated arbitrarily closely as Taylor series around Lagrange *** invariant manifolds are represented by algebraic equations containing the state variables only without the help of *** the so-called geometric structure of these invariant manifolds is *** stable,unstable and center manifolds are tangent to the stable,unstable and center eigenspaces,*** an example of applicability,the invariant manifolds of L 1 point of the Sun-Earth system are *** stable and unstable manifolds are symmetric about the line from the Sun to the Earth,and they both reach near the Earth,so that the low energy transfer trajectory can be found based on the stable and unstable *** periodic or quasi-periodic orbits,which are chosen as nominal arrival orbits,can be obtained based on the center manifold.

关键词： analytical method stable manifold unstable manifold center manifold geometric structure

SRB measures for pointwise hyperbolic systems on open regions

在线全文

学校读者我要写书评

暂无评论

Science China Mathematics 2020年第9期63卷 1671-1720页

作者： Jianyu Chen Huyi Hu Yunhua Zhou School of Mathematical Sciences&Center for Dynamical Systems and Di erential Equations Soochow UniversitySuzhou 215006China Department of Mathematics Michigan State UniversityEast LansingMI 48824USA College of Mathematics and Statistics Chongqing UniversityChongqing 401331China

A diffeomorphism f:M→M is pointwise partially hyperbolic on an open invariant subset N⊂M if there is an invariant decomposition TNM=Eu⊕Ec⊕Es such that Dxf is strictly expanding on Eu x and contracting on Esx at each x∈*** show that under certain conditions f has unstable and stable manifolds,and admits a nite or an in nite u-Gibbs measure μ.If f is pointwise hyperbolic on N,then μ is a Sinai-Ruelle-Bowen(SRB)measure or an in nite SRB *** applications,we show that some almost Anosov di eomorphisms and gentle perturbations of Katok's map have the properties.

关键词： pointwise hyperbolicity unstable manifold SRB measure almost Anosov di eomorphism Katok's map

同方期刊数据库

AN IMPROVEMENT AND PROOF OF OGY METHOD

在线全文

学校读者我要写书评

暂无评论

Applied Mathematics and Mechanics(English Edition) 1998年第1期19卷 1-8页

作者：杨凌刘曾荣 Department of Mathematics Suzhou University Suzhou P. R. China LNM. Institute of Mechanics Chinese Academy Beijing P. R. China

OGY method is the most important method of controlling chaos. It stabilizes a hyperbolic periodic orbit by making small perturbations for a system parameter. This paper improves the method of choosing parameter, and g... 详细信息

关键词： dynamical system chaos controlling chaos hyperbolic periodic point stable manifold unstable manifold

LONG-TERM RIGOROUS NUMERICAL INTEGRATION OF NAVIER-STOKES EQUATION BY NEWTON-GMRES ITERATION

在线全文

学校读者我要写书评

暂无评论

Transactions of Nanjing University of Aeronautics and Astronautics 2013年第3期30卷 248-251页

作者： Julius Rhoan T.Lustro Lennaert van Veen Genta Kawahara College of Engineering and Agro-Industrial Technology University of the Philippines Los Banos Faculty of Science University of Ontario Institute of Technology Department of Mechanical Science and Bioengineering Osaka University1-3 Machikaneyama

The recent result of an orbit continuation algorithm has provided a rigorous method for long-term numerical integration of an orbit on the unstable manifold of a periodic *** algorithm is matrix-free and employs a combination of the Newton-Raphson method and the Krylov subspace ***,the algorithm adopts a multiple shooting method to address the problem of orbital instability due to long-term numerical *** algorithm is described through computing the extension of unstable manifold of a recomputed Nagata′s lowerbranch steady solution of plane Couette flow,which is an example of an exact coherent state that has recently been studied in subcritical transition to turbulence.

关键词： long-term numerical integration Newton-Raphson iteration general minimal residual(GMRES) multiple shooting unstable manifold

Two-Dimensional manifolds with Computation V-Function of ODE Systems

在线全文

学校读者我要写书评

暂无评论

International Journal of Modern Nonlinear Theory and Application 2023年第4期12卷 99-106页

作者： Suqi Ma Bohan Ma Xinping Wang Department of Mathematics China Agricultural University Beijing China Department of Mechanics Southwest Jiaotong University Chengdu China

The computation of stable or unstable manifold of two-dimensional is developed, which is an efficient method in studying stable structure analysis of system character geometrically. The Lorentz stable manifold is computed by the fixed arclength method and the hyperbolic equilibrium is a saddle. The two-dimensional stable structure of Lorentz manifold is significant in people’s usual view. We also introduce the V-function to compute the V-manifold correspondingly. The defined V-function is smooth in the unstable direction of the manifold. Especially, the routh to period-doubling attractor on manifold surface is discussed too.

关键词： Stable manifold unstable manifold V-Function Attraction Boundary