COMPLEX AND HYPERBOLIC FIBONACCI NUMBERS AND PHYLLOTAXIS

被引：1

作者：

Petoukhov, S. V. ^{[1
]}

Petukhova, E. S. ^{[1
]}

Svirin, V. I. ^{[1
]}

机构：

[1] Russian Acad Sci, Dept Biomechan Syst, Mech Engn Res Inst, M Kharitonievsky Pereulok 4, Moscow 101990, Russia

来源：

SYMMETRY-CULTURE AND SCIENCE | 2022年 / 33卷 / 03期

关键词：

Fibonacci numbers; phyllotaxis laws; complex numbers; hyperbolic numbers; matrix representation; eigenvalues; SYSTEM;

D O I：

10.26830/symmetry_2022_3_209

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The article is devoted to studying the extensions of the additive Fibonacci sequence into the additive sequences of 2-dimensional complex and hyperbolic numbers having Fibonacci coordinates. This study is connected with the active use of complex and hyperbolic numbers by contemporary sciences. Special attention is paid to features of the matrix representations of complex and hyperbolic Fibonacci numbers. The authors believe that complex and hyperbolic Fibonacci numbers, having interesting features, will be useful in different scientific fields.

引用

页码：209 / 220

页数：12

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