A q-deformed nonlinear map

被引：39

作者：

Jaganathan, R ^{[1
]}

Sinha, S ^{[1
]}

机构：

[1] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

PHYSICS LETTERS A | 2005年 / 338卷 / 3-5期

关键词：

nonlinear dynamics; logistic map; q-deformation; Tsallis statistics;

D O I：

10.1016/j.physleta.2005.02.042

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A scheme of q-deformation of nonlinear maps is introduced. As a specific example, a q-deformation procedure related to the Tsallis q-exponential function is applied to the logistic map. Compared to the canonical logistic map, the resulting family of q-logistic maps is shown to have a wider spectrum of interesting behaviours, including the co-existence of attractors-a phenomenon rare in one-dimensional maps. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：277 / 287

页数：11

共 16 条

[1] THE DESCRIPTIVE PROPERTIES OF SOME MODELS FOR DENSITY DEPENDENCE [J].

BELLOWS, TS .

JOURNAL OF ANIMAL ECOLOGY, 1981, 50 (01) :139-156

[2]

Bonatsos D, 2000, COND MAT TH, V15, P25

[3] Quantum groups and their applications in nuclear physics [J].

Bonatsos, D ;

Daskaloyannis, C .

PROGRESS IN PARTICLE AND NUCLEAR PHYSICS, VOL 43, 1999, 43 :537-618

[4] On a q-generalization of circular and hyperbolic functions [J].

Borges, EP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (23) :5281-5288

[5]

CASTELLANI L, 1996, QUANTUM GROUPS THEIR, V127

[6]

CHAICHIAN M, 1996, INTRO QUANTUM GROUPS

[7] MULTIPLICITY IN A CHEMICAL-REACTION WITH ONE-DIMENSIONAL DYNAMICS [J].

COFFMAN, K ;

MCCORMICK, WD ;

SWINNEY, HL .

PHYSICAL REVIEW LETTERS, 1986, 56 (10) :999-1002

[8]

COLLET P, 1980, INTERATED MAPS INTER, P102

[9]

Gasper G., 1990, Basic Hypergeometric Series

[10]

Gell-Mann M., 2004, Nonextensive Entropy: Interdisciplinary Applications

← 1 2 →