A new method of determining chaos-parameter-region for the tent map

被引：12

作者：

Li, CP ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200436, Peoples R China

来源：

CHAOS SOLITONS & FRACTALS | 2004年 / 21卷 / 04期

关键词：

D O I：

10.1016/j.chaos.2003.12.025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we apply the modified Marotto Theorem developed by Li and Chen to determination of the chaos-parameter-region of the tent map, which provides a new approach to detection of the chaos-parameter-region for the nonlinear maps. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：863 / 867

页数：5

共 13 条

[1] Probability density functions of some skew tent maps
Billings, L
Bollt, EM
[J]. CHAOS SOLITONS & FRACTALS, 2001, 12 (02) : 365 - 376
[2] Snapback repellers as a cause of chaotic vibration of the wave equation with a van der Pol boundary condition and energy injection at the middle of the span
Chen, G
Hsu, SB
Zhou, JX
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (12) : 6459 - 6489
[3] HOMOCLINIC BIFURCATIONS IN N-DIMENSIONAL ENDOMORPHISMS, DUE TO EXPANDING PERIODIC POINTS
GARDINI, L
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1994, 23 (08) : 1039 - 1089
[4] GLENDINNING, 1994, STABILITY INSTABILIT
[5] HABUTSU T, 1991, LECT NOTES COMPUT SC, V547, P127
[6] SYMBOLIC DYNAMICS AND NONLINEAR SEMIFLOWS
HALE, JK
LIN, XB
[J]. ANNALI DI MATEMATICA PURA ED APPLICATA, 1986, 144 : 229 - 259
[7] HUANG Y, 2004, CHAOS SOLITON FRACT, V19, P1105
[8] An improved version of the Marotto theorem (vol 18, pg 69, 2003)
Li, CP
Chen, GR
[J]. CHAOS SOLITONS & FRACTALS, 2004, 20 (03) : 655 - 655
[9] An improved version of the Marotto theorem
Li, CP
Chen, GR
[J]. CHAOS SOLITONS & FRACTALS, 2003, 18 (01) : 69 - 77
[10] PERIOD 3 IMPLIES CHAOS
LI, TY
YORKE, JA
[J]. AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (10) : 985 - 992

← 1 2 →