Computing the differential of an unfolded contact diffeomorphism
Klaus Böhmer; Drahoslava Janovská; Vladimír Janovský
Applications of Mathematics (2003)
- Volume: 48, Issue: 1, page 3-30
- ISSN: 0862-7940
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topBöhmer, Klaus, Janovská, Drahoslava, and Janovský, Vladimír. "Computing the differential of an unfolded contact diffeomorphism." Applications of Mathematics 48.1 (2003): 3-30. <http://eudml.org/doc/33131>.
@article{Böhmer2003,
abstract = {Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism $\Phi $ linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential $D\Phi (0)$ of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of $D\Phi (0)$. Singularity classes containing bifurcation points with $\mathop \{\mathrm \{c\}odim\}\le 3$, $\mathop \{\mathrm \{c\}orank\}=1$ are considered.},
author = {Böhmer, Klaus, Janovská, Drahoslava, Janovský, Vladimír},
journal = {Applications of Mathematics},
keywords = {bifurcation points; imperfect bifurcation diagrams; qualitative analysis; bifurcation points; imperfect bifurcation diagrams; qualitative analysis},
language = {eng},
number = {1},
pages = {3-30},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Computing the differential of an unfolded contact diffeomorphism},
url = {http://eudml.org/doc/33131},
volume = {48},
year = {2003},
}
TY - JOUR
AU - Böhmer, Klaus
AU - Janovská, Drahoslava
AU - Janovský, Vladimír
TI - Computing the differential of an unfolded contact diffeomorphism
JO - Applications of Mathematics
PY - 2003
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 48
IS - 1
SP - 3
EP - 30
AB - Consider a bifurcation problem, namely, its bifurcation equation. There is a diffeomorphism $\Phi $ linking the actual solution set with an unfolded normal form of the bifurcation equation. The differential $D\Phi (0)$ of this diffeomorphism is a valuable information for a numerical analysis of the imperfect bifurcation. The aim of this paper is to construct algorithms for a computation of $D\Phi (0)$. Singularity classes containing bifurcation points with $\mathop {\mathrm {c}odim}\le 3$, $\mathop {\mathrm {c}orank}=1$ are considered.
LA - eng
KW - bifurcation points; imperfect bifurcation diagrams; qualitative analysis; bifurcation points; imperfect bifurcation diagrams; qualitative analysis
UR - http://eudml.org/doc/33131
ER -
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