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The Multiplicity of Bifurcations for Area‐Preserving Maps
Author(s) -
Mackay Robert S.,
Shardlow Tony
Publication year - 1994
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/26.4.382
Subject(s) - multiplicity (mathematics) , mathematics , bifurcation , periodic orbits , mathematical analysis , period doubling bifurcation , bifurcation theory , pure mathematics , nonlinear system , physics , quantum mechanics
The multiplicity of generic bifurcations of periodic orbits of one‐parameter families of area‐preserving maps is computed. The numbers of bifurcation points (counting multiplicity) are computed at arbitrary period for the case of teh Hénon family.