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  Classification of one-state-variable bifurcation problems up to codimension seven
 
 
Title: Classification of one-state-variable bifurcation problems up to codimension seven
Author: Keyfitz, Barbara Lee
Appeared in: Dynamical systems
Paging: Volume 1 (1986) nr. 1 pages 1-41
Year: 1986
Contents: We present a classification of one-state-variable singularities with distinguished parameter through codimension seven. This extends results previously known up to codimension four on contact equivalence with distinguished parameter. Among other interesting phenomena we present the topology of a modal family in codimension five. The classification uses elementary techniques including the notions of tangent space, restricted tangent space, and intrinsic ideals. For each problem of codimension seven or less, a normal form, criteria for recognizing the singularity and a set of unfolding vectors are given. Subordination relations between the different singularities are also described.
Publisher: Taylor & Francis
Source file: Elektronische Wetenschappelijke Tijdschriften
 
 

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