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On the generalized Lyapunov–Schmidt reduction
Author(s) -
Lijun Y.
Publication year - 2004
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200310124
Subject(s) - mathematics , reduction (mathematics) , center manifold , lyapunov function , equivalence (formal languages) , pure mathematics , geometry , physics , bifurcation , nonlinear system , hopf bifurcation , quantum mechanics
The generalized Lyapunov‐Schmidt reduction is thoroughly investigated in this paper. Some new and known properties of the reduction are presented transparently. Among others we obtain two main results, an alternative proof of the equivalence of the generalized reduction and an approximation relation between the generalized Lyapunov‐Schmidt reduction and the center manifold reduction.