A note on positive Lyapunov exponent and sensitive dependence on initial conditions

被引：0

作者：

Demir, B ^{[1
]}

Koçak, S ^{[1
]}

机构：

[1] Anadolu Univ, Dept Math, TR-26470 Eskisehir, Turkey

来源：

CHAOS SOLITONS & FRACTALS | 2001年 / 12卷 / 11期

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we give two examples of discrete dynamics (Functions) on intervals C R, the first having a positive Lyapunov exponent at a point but not being sensitive-dependent on initial conditions at that point; and the second being sensitive-dependent on initial conditions at a point but having a negative Lyapunov exponent at that point. (C) 2001 Elsevier Science Ltd. Ah rights reserved.

引用

页码：2119 / 2121

页数：3

共 50 条

[31] Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
Chemnitz, Dennis
Engel, Maximilian
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2023, 402 (02) : 1807 - 1843
[32] POSITIVE LYAPUNOV EXPONENT FOR A CLASS OF QUASI-PERIODIC COCYCLES
Liang, Jinhao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2020, 40 (03) : 1361 - 1387
[33] MEASURES WITH POSITIVE LYAPUNOV EXPONENT AND CONFORMAL MEASURES IN RATIONAL DYNAMICS
Dobbs, Neil
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2012, 364 (06) : 2803 - 2824
[34] Positive Lyapunov Exponent in the Hopf Normal Form with Additive Noise
Dennis Chemnitz
Maximilian Engel
Communications in Mathematical Physics, 2023, 402 : 1807 - 1843
[35] PARAMETER DEPENDENCE OF THE LYAPUNOV EXPONENT FOR LINEAR STOCHASTIC-SYSTEMS - A SURVEY
WIHSTUTZ, V
LECTURE NOTES IN MATHEMATICS, 1986, 1186 : 200 - 215
[36] On maximizing the positive Lyapunov exponent of chaotic oscillators applying DE and PSO
Silva-Juárez A.
Morales-Pérez C.J.
de la Fraga L.G.
Tlelo-Cuautle E.
Rangel-Magdaleno J.J.
International Journal of Dynamics and Control, 2019, 7 (04) : 1157 - 1172
[37] Positive Lyapunov exponent from time series of strange nonchaotic system
Shuai, J
Lian, J
Durand, DM
PROCEEDINGS OF THE 22ND ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY, VOLS 1-4, 2000, 22 : 2410 - 2413
[38] Positive top Lyapunov exponent via invariant cones: Single trajectories
Barreira, Luis
Dragicevic, Davor
Valls, Claudia
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 423 (01) : 480 - 496
[39] STATISTICAL PROPERTIES OF EIGENFUNCTIONS FOR QUANTUM BILLIARDS WITH AND WITHOUT POSITIVE LYAPUNOV EXPONENT
SHIMIZU, Y
SHUDO, A
PROGRESS OF THEORETICAL PHYSICS SUPPLEMENT, 1994, (116): : 267 - 276
[40] Dynamics of the d-HMF model: Sensitive dependence on size and initial conditions
Atenas, Boris
Curilef, Sergio
XX CHILEAN PHYSICS SYMPOSIUM, 2018, 1043

← 1 2 3 4 5 →