Acta mathematica scientia,Series B ›› 2005, Vol. 25 ›› Issue (3): 408-418.

• Articles • Previous Articles     Next Articles

(r,s)-STABILITY OF UNFOLDING OF |$\Gamma$-EQUIVARIANT PROBLEM

School of Mathematics and Statistics,Wuhan University, Wuhan 430072, China   

  • Online:2005-07-20 Published:2005-07-20
  • Supported by:

    Supported by the National Nature Science Founda-
    tion of China (10261002)

Abstract:

In this paper,the $\Gamma$-equivariant $(s,t)$-equivalence
 relation and $\Gamma$-equivariant infinitesimally
 $(r,s)$-stability of
$\Gamma$-equivariant bifurcation problem are defined. The
criterion for $\Gamma$-equivariant infinitesimally
$(r,s)$-stability is proven when $\Gamma$ is a compact finite Lie
group . Transversality
condition is used to characterize the stability.

Key words: \rm $\Gamma$-equivariant bifurcation
problem,
unfolding, transversality, $\Gamma$-equivariant
infinitesimally $(r,s)$-stability,
$\Gamma$-equivariant
$(r,s)$-equivalence.

CLC Number: 

  • 58C27
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