DYNAMIC ISO-TOPIC LIFTING WITH APPLICATION TO FIBONACCI'S SEQUENCE AND MANDELBROT'S SET

Nathan O. Schmidt

首页> 外文期刊>Hadronic Journal >DYNAMIC ISO-TOPIC LIFTING WITH APPLICATION TO FIBONACCI'S SEQUENCE AND MANDELBROT'S SET

【24h】

DYNAMIC ISO-TOPIC LIFTING WITH APPLICATION TO FIBONACCI'S SEQUENCE AND MANDELBROT'S SET

机译：动态等值提升在斐波那契序列和曼德尔布罗特集上的应用

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 exploration, we introduce and define "dynamic iso-spaces". which are cutting-edge iso-mathematical constructions that are built with "dynamic iso-topic liftings" for "dynamic iso-unit functions". For this, we consider both the continuous and discrete cases. Subsequently, we engineer two simple examples that engage Fibonacci's sequence and Mandelbrot's set to define a "Fibonacci dynamic iso-space" and a "Mandelbrot dynamic iso-space", respectively. In total, this array of resulting iso-structures indicates that a new branch of iso-mathematics may be in order.

机译：在本次探索中，我们介绍并定义了“动态等空间”。它们是利用“动态同位素提升”构建的“动态等值单元功能”的最先进的等数学结构。为此，我们考虑连续和离散情况。随后，我们设计了两个简单的示例，它们分别使用斐波那契数列和曼德尔布罗特集来定义“斐波那契动态等距”和“曼德尔勃罗动态等距”。总的来说，这种所得的同构结构的阵列表明同构数学的新分支可能是有序的。

著录项

来源
《Hadronic Journal》 |2013年第4期|489-497|共9页
作者
Nathan O. Schmidt;
展开▼
作者单位

Department of Mathematics Boise State University 1910 University Drive Boise, ID 83725, USA;

展开▼
收录信息
原文格式 PDF
正文语种 eng
中图分类
关键词
Geometry and topology; Santilli iso-number; Santilli iso-space; Dynamic iso-space; Fractal geometry; Fibonacci sequence; Mandelbrot set;

机译：几何和拓扑;Santilli等号;Santilli等距;动态等距分形几何;斐波那契数列;曼德布罗集;

相似文献

外文文献
中文文献
专利

1. DYNAMIC ISO-TOPIC LIFTING WITH APPLICATION TO FIBONACCI'S SEQUENCE AND MANDELBROT'S SET [J] . Nathan O. Schmidt Hadronic Journal . 2013,第2期

机译：动态等值提升在斐波那契序列和曼德尔布罗特集上的应用
2. The Mandelbrot Set, the Farey Tree and the Fibonacci Sequence [J] . Robert L. Devaney The American mathematical monthly . 1999,第4期

机译：Mandelbrot集，Farey树和斐波那契数列
3. Application of generalized Fibonacci sequences to simplification of mathematical models of linear dynamic systems [J] . Edward Layer, Tadeusz Piwowarczyk Archives of Electrical Engineering . 1999,第1a2期

机译：广义斐波那契数列在简化线性动力系统数学模型中的应用
4. Design and analysis of a new sequence set by using chaotic dynamic systems for spread spectrum communication applications [C] . Abolbashari, M., Aghaeinia, . 2003

机译：利用混沌动态系统设计和分析用于扩频通信的新序列集
5. A computer assisted study of dynamical systems, Julia sets, and the Mandelbrot set [D] . Tucker, Linda Henshaw 1992

机译：计算机辅助研究动力系统，朱莉娅集合和曼德尔布罗特集合
6. Review of Fractals and Chaos: The Mandelbrot Set and Beyond by B. Mandelbrot [O] . Alberto Diaspro 2005

机译：B. Mandelbrot撰写的分形与混沌：Mandelbrot集及其之后的评论
7. FIBONACCI SEQUENCE OF STABLE PERIODIC ORBITS FOR ONE-PARAMETER FAMILIES OF C$^1$-UNIMODAL MAPPINGS(Theory of Dynamical Systems and Its Application to Nonlinear Problems) [O] . SHIBAYAMA Kenshin 1984

机译：C $ ^ 1 $-单模映射一参数系统的稳定周期的斐波那契序列（动力学系统理论及其在非线性问题中的应用）
8. Fibonacci and Nonadjacent Numbers on the Characterization of Fibonacci Numbers as Maximal Independent Sets of Vertices of Certain Trees [R] . El-Basil, S. 1987

机译：Fibonacci和非相邻数字表征Fibonacci数作为某些树的最大独立顶点集

DYNAMIC ISO-TOPIC LIFTING WITH APPLICATION TO FIBONACCI'S SEQUENCE AND MANDELBROT'S SET

摘要

著录项

相似文献

相关主题

期刊订阅