Abstract： 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.
汪秉宏. 可逆保面积映象同周期分歧的解析研究. 物理学报, 1988, 37(1): 86.
Cite this article:
WANG BING-HONG. AN ANALYTICAL STUDY OF EQUAL PERIODIC BIFURCATIONS IN REVERSIBLE AREA PRESERVING MAPS. Acta Phys. Sin., 1988, 37(1): 77-86.