Open AccessAN ANALYTICAL STUDY OF EQUAL PERIODIC BIFURCATIONS IN REVERSIBLE AREA PRESERVING MAPS
Author(s) -
Bing–Hong Wang
Publication year - 1988
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.37.77
Subject(s) - jacobian matrix and determinant , periodic orbits , bifurcation , mathematics , mathematical analysis , physics , nonlinear system , quantum mechanics
In this paper, the general structure of linear Jacobian matrices of even periodic orbits for reversible area preserving maps is obtained and two kinds of bifurcation behaviour of symmetric periodic orbits are discussed from the above structure. We present the conditions and the analytical criterions which can distinguish three types for equal periodic bifurcations of reversible area preserving maps. The applications of this analytical method are illustrated with several examples of De Vogelaere map.