Tool to recover scalar time-delay systems from experimental time series

被引：74

作者：

Bunner, MJ ^{[1
]}

Popp, M ^{[1
]}

Meyer, T ^{[1
]}

Kittel, A ^{[1
]}

Parisi, J ^{[1
]}

机构：

[1] UNIV BAYREUTH, INST PHYS, D-95440 BAYREUTH, GERMANY

来源：

PHYSICAL REVIEW E | 1996年 / 54卷 / 04期

关键词：

D O I：

10.1103/PhysRevE.54.R3082

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

We propose a method that is able to analyze chaotic time series gained from experimental data. The method allows us to identify scalar time-delay systems. If the dynamics of the system under investigation is governed by a scalar time-delay differential equation of the form dy(t)/dt=h(y(t),y(t-tau(0))), the delay time tau(0) and the function h can be recovered. There are no restrictions to the dimensionality of the chaotic attractor. It turns out that the method is not strongly sensitive to additional noise. We successfully apply the method to various time series taken from a computer experiment and two different electronic oscillators.

引用

页码：R3082 / R3085

页数：4

共 15 条

[1] Recovery of scalar time-delay systems from time series
Bunner, MJ
Popp, M
Meyer, T
Kittel, A
Rau, U
Parisi, J
[J]. PHYSICS LETTERS A, 1996, 211 (06) : 345 - 349
[2] FARMER JD, 1982, PHYSICA D, V4, P366, DOI 10.1016/0167-2789(82)90042-2
[3] MEASURING THE STRANGENESS OF STRANGE ATTRACTORS
GRASSBERGER, P
PROCACCIA, I
[J]. PHYSICA D, 1983, 9 (1-2): : 189 - 208
[4] HIGH-DIMENSIONAL CHAOTIC BEHAVIOR IN SYSTEMS WITH TIME-DELAYED FEEDBACK
IKEDA, K
MATSUMOTO, K
[J]. PHYSICA D, 1987, 29 (1-2): : 223 - 235
[5] DELAY-INDUCED CHAOS IN CATALYTIC SURFACE-REACTIONS - NO REDUCTION ON PT(100)
KHRUSTOVA, N
VESER, G
MIKHAILOV, A
IMBIHL, R
[J]. PHYSICAL REVIEW LETTERS, 1995, 75 (19) : 3564 - 3567
[6] NOISE AND CRITICAL-BEHAVIOR OF THE PUPIL LIGHT REFLEX AT OSCILLATION ONSET
LONGTIN, A
MILTON, JG
BOS, JE
MACKEY, MC
[J]. PHYSICAL REVIEW A, 1990, 41 (12): : 6992 - 7005
[7] Losson J, 1993, CHAOS, V3
[8] OSCILLATION AND CHAOS IN PHYSIOLOGICAL CONTROL-SYSTEMS
MACKEY, MC
GLASS, L
[J]. SCIENCE, 1977, 197 (4300) : 287 - 288
[9] AN ELECTRONIC ANALOG OF THE MACKEY-GLASS SYSTEM
NAMAJUNAS, A
PYRAGAS, K
TAMASEVICIUS, A
[J]. PHYSICS LETTERS A, 1995, 201 (01) : 42 - 46
[10] Attractor merging crisis in the double-scroll oscillator
Reisner, B
Kittel, A
Luck, S
Peinke, J
Parisi, J
[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1995, 50 (12): : 1105 - 1107

← 1 2 →