Essential Dynamics for Lorenz maps on the real line and the Lexicographical World ? ? Partially supp
Essential Dynamics for Lorenz maps on the real line and the Lexicographical World ? ? Partially supp
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DOI：
10.1016/j.anihpc.2005.09.001
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发表时间：
2006-09
影响因子：
1.9
通讯作者：
R. Labarca;C. Moreira
中科院分区：
文献类型：
--
作者：
R. Labarca;C. Moreira
本文描述了序列集LW={（a，B）∈ N 0× N 1; a n∈ N}的一些拓扑和几何性质，它实质上表示了具有一个间断的分段连续增映射的所有允许动力学.特别地，我们描述了LW中产生非平凡动力学的第一个主要分叉，并且我们研究了LW和与之相关联的相空间a，B的（分形）几何性质。All rights reserved.
In this paper we describe some topological and geometric properties of the set of sequences LW={(a, b)∈ Σ0× Σ1; a⩽ σn (a)⩽ b, a⩽ σn (b)⩽ b,∀ n∈ N}, which essentially represents all the allowed dynamics for piecewise continuous increasing maps with one discontinuity. In particular, we describe the first main bifurcations in LW which generate non-trivial dynamics, and we study (fractal) geometric properties of LW and of the phase spaces Σa, b associated to it.© 2005 Elsevier SAS. All rights reserved.