On bifurcations of cusps

Zbigniew Szafraniec

Abstract

Let Ft, where t∈R, be an analytic family of plane-to-plane mappings with F0 having a critical point at the origin. The paper presents effective algebraic methods of computing the number of those cusp points of Ft, where 0<|t|≪1, emanating from the origin at which Ft has a positive/negative local topological degree.
Author Zbigniew Szafraniec (FMPI/IM)
Zbigniew Szafraniec,,
- Institute of Mathematics
Journal seriesJournal of the Mathematical Society of Japan, ISSN 0025-5645, (N/A 70 pkt)
Issue year2019
Vol71
No2
Pages555-567
Publication size in sheets0.60
Keywords in Englishsingularities, bifurcations, cusps
ASJC Classification2600 General Mathematics
DOIDOI:10.2969/jmsj/79217921
Languageen angielski
Score (nominal)70
Score sourcejournalList
ScoreMinisterial score = 70.0, 20-07-2020, ArticleFromJournal
Publication indicators WoS Citations = 0.000; Scopus SNIP (Source Normalised Impact per Paper): 2018 = 0.826; WoS Impact Factor: 2018 = 0.496 (2) - 2018=0.707 (5)
Citation count*2 (2020-07-19)
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