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中国物理学会期刊

可逆保面积映象同周期分歧的解析研究

CSTR: 32037.14.aps.37.77

AN ANALYTICAL STUDY OF EQUAL PERIODIC BIFURCATIONS IN REVERSIBLE AREA PRESERVING MAPS

CSTR: 32037.14.aps.37.77
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  • 从可逆保面积映象偶周期轨道线性Jacobi矩阵的一般结构,讨论了对称周期轨道的两种分歧行为。给出可逆保面积映象的同周期分歧条件及区分三种同周期分歧类型的解析判据。以De Vogelaere映象的实例说明了解析方法的应用。

     

    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.

     

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