GENERATING PRE-FRACTALS TO APPROACH REAL IFS-ATTRACTORS WITH A FIXED HAUSDORFF DIMENSION

MANUEL FERNÁNDEZ-MARTÍNEZ; Miguel Angel Lopez Guerrero

首页> 外文期刊>Discrete and continuous dynamical systems >GENERATING PRE-FRACTALS TO APPROACH REAL IFS-ATTRACTORS WITH A FIXED HAUSDORFF DIMENSION

【24h】

GENERATING PRE-FRACTALS TO APPROACH REAL IFS-ATTRACTORS WITH A FIXED HAUSDORFF DIMENSION

机译：生成预分数，以固定的HAUSORFF尺寸逼近真正的IFS表演者

获取原文

获取原文并翻译 | 示例

掌桥外文数据库（机构版） >>

开具论文收录证明 >>

文献代查 >>

页面导航

摘要
著录项
相似文献
相关主题

摘要

In this paper, we explain how to generate adequate pre-fractals in order to properly approximate attractors of iterated function systems on the real line within a priori known Hausdorff dimension. To deal with, we have applied the classical Moran's Theorem, so we have been focused on non-overlapping strict self-similar sets. This involves a quite significant hypothesis: the so-called open set condition. The main theoretical result contributed in this paper becomes quite interesting from a computational point of view, since in such a context, there is always a maximum level (of the natural fractal structure we apply in this work) that may be achieved.

机译：在本文中，我们解释了如何生成足够的预分形，以便在先验已知的Hausdorff维度内正确逼近真实函数上的迭代函数系统的吸引子。为了解决这个问题，我们应用了经典的Moran定理，因此我们专注于非重叠的严格自相似集。这涉及一个相当重要的假设：所谓的开放集条件。从计算的角度来看，本文贡献的主要理论结果变得非常有趣，因为在这种情况下，始终可以达到最大水平（我们在这项工作中应用的自然分形结构）。

著录项

来源
《Discrete and continuous dynamical systems》 |2015年第6期|1129-1137|共9页
作者
MANUEL FERNÁNDEZ-MARTÍNEZ; Miguel Angel Lopez Guerrero;
展开▼
作者单位

University Centre of Defence at the Spanish Air Force Academy, MDE-UPCT Coronel López Peña Street, w 30720 Santiago de la Ribera, Murcia, Spain;

Department of Mathematics at University of Castilla-La Mancha Campus Universitario de Cuenca 16071 Cuenca, Spain;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Fractal; pre-fractal; iterated function system; IFS-attractor; fractal structure; fractal dimension; HausdorfF dimension;

机译：分形分形迭代功能系统;IFS吸引器;分形结构分形维数HausdorfF尺寸;

相似文献

外文文献
专利

1. Real analyticity of Hausdorff dimension for higher dimensional hyperbolic graph directed Markov systems [J] . Mario Roy, Mariusz Urbański Mathematische Zeitschrift . 2008,第1期

机译：高维双曲图有向马尔可夫系统的Hausdorff维数的实解析度
2. Real analyticity of Hausdorff dimension for higher dimensional hyperbolic graph directed Markov systems [J] . Roy M, Urbanski M Mathematische Zeitschrift . 2008,第1期

机译：高维双曲图有向Markov系统的Hausdorff维数的实解析性
3. Generalized Hausdorff dimensions of sets of real numbers with zero entropy expansion [J] . Mauduit C., Moreira C.G. Ergodic Theory and Dynamical Systems . 2012,第Pta3期

机译：具有零熵展开的实数集的广义Hausdorff维数
4. Hausdorff Dimension of a Class of Self-affine Fractals Generated by Linear Fibre Coding [C] . Dongchen Zhang, Yi’an Zhang, Weidong Chen, Proceedings of the 9th international conference for young computer scientists (ICYCS 2008) . 2008

机译：线性光纤编码产生的一类自仿射分形的Hausdorff维数
5. Three dimensional model based recognition using multidimensional Hausdorff distance and geometrical invariants [D] . Rahman, Mohammad Tayabur. 2006

机译：基于多维Hausdorff距离和几何不变量的基于三维模型的识别
6. Two Dimensional Yau-Hausdorff Distance with Applications on Comparison of DNA and Protein Sequences [O] . Kun Tian, Xiaoqian Yang, Qin Kong, -1

机译：二维Yau-Hausdorff距离及其在DNA和蛋白质序列比较中的应用
7. Real analyticity of Hausdorff dimension for higher dimensional hyperbolic graph directed Markov systems [O] . Mario Roy, Mariusz Urbański 2007

机译：高维双曲线图马尔可夫系统的Hausdorff维真实解析性
8. Hausdorff Dimensions in Two Dimensional Maps and Thermodynamic Formalism [R] . Paladin, G., Vaienti, S. 1989

机译：二维映射中的Hausdorff维数与热力学形式

GENERATING PRE-FRACTALS TO APPROACH REAL IFS-ATTRACTORS WITH A FIXED HAUSDORFF DIMENSION

摘要

著录项

相似文献

相关主题

期刊订阅