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
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
收藏
页码:863 / 867
页数:5
相关论文
共 13 条
[1]   Probability density functions of some skew tent maps [J].
Billings, L ;
Bollt, EM .
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 [J].
Chen, G ;
Hsu, SB ;
Zhou, JX .
JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (12) :6459-6489
[3]   HOMOCLINIC BIFURCATIONS IN N-DIMENSIONAL ENDOMORPHISMS, DUE TO EXPANDING PERIODIC POINTS [J].
GARDINI, L .
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 [J].
HALE, JK ;
LIN, XB .
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) [J].
Li, CP ;
Chen, GR .
CHAOS SOLITONS & FRACTALS, 2004, 20 (03) :655-655
[9]   An improved version of the Marotto theorem [J].
Li, CP ;
Chen, GR .
CHAOS SOLITONS & FRACTALS, 2003, 18 (01) :69-77
[10]   PERIOD 3 IMPLIES CHAOS [J].
LI, TY ;
YORKE, JA .
AMERICAN MATHEMATICAL MONTHLY, 1975, 82 (10) :985-992