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Numerical Method for Following the Closed Orbits in High-dimensional Space

Numerical Method for Following the Closed Orbits in High-dimensional Space
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摘要 The spline interpolation is used to approximate the closed orbits, and the problem of following the dosed orbit in large-scale is turned to tracking the solution curve of a nonlinear equation system in higher-dimensional space. The deformation of the closed orbit of Lorenz equation is calculated. The spline interpolation is used to approximate the closed orbits, and the problem of following the dosed orbit in large-scale is turned to tracking the solution curve of a nonlinear equation system in higher-dimensional space. The deformation of the closed orbit of Lorenz equation is calculated.
作者 武际可 周鵾
出处 《Science China Mathematics》 SCIE 1994年第8期960-969,共10页 中国科学:数学(英文版)
基金 Project supported by the National Natural Science Foundation of China.
关键词 nonlinear dynamic system HOPF BIFURCATION closed ORBIT SPLINE interpolation pseudo-arclength method. nonlinear, dynamic system, Hopf bifurcation, closed orbit, spline interpolation, pseudo-arclength method.
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