文摘
英文文摘
Chapter one The Unfolding and Recognition of Multiparameter Eqnivariant Bifurcation Problem with Parameter Symmetry
Introduction
§1.1 Preliminaries
§1.2 Contact equivalence groups and tangent space
§1.3 The K(Γ,Δ)-Unfolding Theory
§1.4 Stability of bifurcation problems and their Unfoldings
§1.5 The Recognition Problem
Chapter two Classification and Recognition of (D4, S1)-equivariant bifurcation problem
Introduction
§2.1 Some algebra datum about (D4, S1)-equivariant bifurcation problem
§2.2 Classification and Recognition Theorem
Chapter Three The Unfolding of Multiparameter Equivariant Bifurcation Problems with respect to left-right Equivalence
Introduction
§3.1 Preliminaries
§3.2 A criterion for the triviality of one parameter Γ-unfolding F
§3.3 The tangent space of f0 ∈ En,k;m(Γ) under A(Γ)-equivalence
§3.4 A(Γ)-versal unfolding theorem
§3.5 Infinitesimally A(Γ)-stability of unfolding
Refrences
Acknowledgment