THE SIMPLEST NORMAL FORM OF HOPF BIFURCATION FOR HIGH DIMENSIONAL NON-LINEAR SYSTEMS

【Author】

S.P.Chen~(1,2),W.Zhang~1 and Y.H.Qian~1 1 College of Mechanical Engineering,Beijing University of Technology,Beijing 100124,China 2 Collegel of Mathematics and Information Engineering,Taizhou University,Linhai 317000,China

【Abstract】

<正>Normal form theory is one of the basic tools for the analysis of nonlinear systems,and has been studied for more than a century.The basic idea of normal form theory is employing successive,near-identity nonlinear transformations to obtain a simple form.Those terms that remain should be the ones having dynamical significance.

【Keywords】

Nonlinear system;;Normal forms of Hopf bifurcation;;Transformation;;Symbolic computation

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