AN OPTOELECTRONIC TECHNIQUE FOR ESTIMATING FRACTAL DIMENSIONS FROM DYNAMICAL POINCARE MAPS

被引：0
|
作者：
NAMAJUNAS, A
TAMASEVICIUS, A
机构：
来源：
FRACTALS IN THE NATURAL AND APPLIED SCIENCES | 1994年 / 41卷
关键词：
SPECIAL-PURPOSE AND APPLICATION BASED SYSTEMS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A dedicated analogue computer for estimating the pointwise dimensions from dynamical Poincare maps has been elaborated. The technique employs time series of the Poincare points successively displayed on the screen of an oscilloscope. It provides a rapid way to estimate the pointwise dimension from a single variable directly in an experiment. The method has been verified by 2-dimensional Poincare map, simulated from the Duffing-Holmes differential equation. The measured value well agrees with computer calculation for numerical data. The technique has been applied to electronic systems, including periodic, quasiperiodic and chaotic oscillators.
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页码：289 / 293
页数：5
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