Chaotic characteristic of inflation-unemployment relation in Turkey

2019 ◽  
Author(s):  
Melike E. Bildirici ◽  
Fulya Ozaksoy Sonustun
Keyword(s):  
Chaotic Characteristic

Relevance of Correlation Dimension and Kolmogorov Entropy in the State Discriminant of Gearbox

2014 ◽  
Vol 644-650 ◽  
pp. 858-862
Author(s):  
Xiang Dong Mao ◽  
Hui Qun Yuan ◽  
Hua Gang Sun
Keyword(s):  
Correlation Dimension ◽  
Kolmogorov Entropy ◽  
Calculation Methods ◽  
Characteristic Parameters ◽  
State Monitoring ◽  
Basic Principles ◽  
Parameters Selection ◽  
Good Consistency ◽  
Chaotic Characteristic ◽  
Working Status

This paper introduces the basic principles and calculation methods for the correlation dimension and Kolmogorov entropy. By calculating the correlation dimension and Kolmogorov entropy when the gear is under different working conditions, we can analyze the inherent relationship between the two in depicting of the running condition of the gearbox. The result shows that,the correlation dimension and Kolmogorov entropy have a good consistency in the description of working status of gearbox. This conclusion not only provides a good basis for the gearbox running condition judgment and fault diagnosing, but can also provide the experimental basis for the chaotic characteristic parameters selection in state monitoring and fault diagnosing.

Study on State Recognition of ASCE Benchmark Based on Lyapunov Exponent Spectrum Entropy

2011 ◽  
Vol 243-249 ◽  
pp. 5435-5439 ◽  
Author(s):  
Jian Xi Yang ◽  
Jian Ting Zhou ◽  
Yue Chen
Keyword(s):  
Lyapunov Exponent ◽  
Time Sequence ◽  
Maximum Lyapunov Exponent ◽  
Entropy Analysis ◽  
Structural System ◽  
Time Duration ◽  
State Recognition ◽  
Chaotic Characteristic ◽  
Lyapunov Exponent Spectrum ◽  
Maximum Lyapunov Exponents

The paper has made a maximum Lyapunov exponent and Lyapunov exponent spectrum entropy analysis of ASCE Benchmark using non-linear theory and chaos time sequence. The maximum Lyapunov exponents in the two kinds of structural monitored data are both over zero, indicating that in the structural system chaos phenomenon has appeared. And, experiments have shown that the maximum Lyapunov exponent is sensitive of the amount of samples and the time delay. So, to compute the chaos index, the amount of samples and the time duration are of importance. Meanwhile, the Lyapunov exponent spectrum entropy is effective to measure the chaotic characteristic of the system, but ,the entropy is less sensitive to state recognition more than the max Lyapunov exponent.

Chaos control of permanent magnet synchronous motor using simple controllers

2018 ◽  
Vol 41 (8) ◽  
pp. 2352-2364 ◽  
Author(s):  
Arif Iqbal ◽  
Girish Kumar Singh
Keyword(s):  
Permanent Magnet ◽  
Chaos Control ◽  
Permanent Magnet Synchronous Motor ◽  
Synchronous Motor ◽  
Industrial Applications ◽  
Stable Operation ◽  
Comparative Performance ◽  
Experimental Implementation ◽  
Chaotic Characteristic ◽  
The Stability

Owing to the superior properties and stable operation, the Permanent Magnet Synchronous Motor (PMSM) is preferably used in wide industrial applications. But, the stability of motor is found to be dependent on its initial operating condition, showing the chaotic characteristic. Therefore, this paper addresses the chaos control of PMSM by developing four simple but effective controllers, which are mathematically designed by using the principle of Lyapunov’s method for asymptotic global stability. A comparative performance assessment has been carried out for the developed controllers in terms of settling time and peak over shoot. Furthermore, the concept of conventional proportional-integration type controller has been extended to develop two more controllers for chaos control of PMSM. Numerical simulation has been carried out in Matlab environment for performance evaluation of developed controllers. The obtained analytical results have been validated through experimental implementation in real time environment on Multisim/Ultiboard platform.

Research of Extracting Information about Reservoir Logging Signals Based on Chaos Characteristics

2013 ◽  
Vol 380-384 ◽  
pp. 3742-3745
Author(s):  
Chun Yan Nie ◽  
Rui Li ◽  
Wan Li Zhang
Keyword(s):  
Lyapunov Exponent ◽  
Correlation Dimension ◽  
Approximate Entropy ◽  
Water Layer ◽  
Time Correlation ◽  
Largest Lyapunov Exponent ◽  
Characteristic Parameters ◽  
Chaotic Characteristic ◽  
Oil Water

The mechanism of logging signals generating was researched. In the same time, correlation dimension, largest Lyapunov exponent and approximate entropy of chaotic characteristics were extracted. On this basis, chaotic characteristic parameters were applied in processing, analysis and interpretation, try to find chaotic characteristics of different of reservoirs for example oil, water layer and the dry layer. The results showed that chaos characteristics in different reservoir is different, therefore, we can distinguish the different natures of reservoirs by extracting chaos characteristics.

Dynamical Behaviors of a Pest Epidemic Model with Impulsive Control Over a Patchy Environment

2018 ◽  
Vol 28 (14) ◽  
pp. 1850173 ◽  
Author(s):  
Zhichun Yang ◽  
Cheng Chen ◽  
Lanzhu Zhang ◽  
Tingwen Huang
Keyword(s):  
Epidemic Model ◽  
Impulsive Control ◽  
Threshold Value ◽  
Impulsive System ◽  
Asymptotically Stable ◽  
Patchy Environment ◽  
Globally Asymptotically Stable ◽  
Dynamical Behaviors ◽  
Persistence Theory ◽  
Chaotic Characteristic

An epidemic model for pest management with impulsive control over a patchy environment is proposed in this paper. We investigate the dynamical behaviors on extinction and permanence and obtain the threshold value [Formula: see text] of dynamics for the impulsive system by utilizing a small amplitude perturbation method, matrix spectral analysis and persistence theory. We prove that the periodic pest-eradication solution of the system is globally asymptotically stable if [Formula: see text], while the system is persistent if [Formula: see text]. Furthermore, by discussion on the two-patch case, we analyze the effects of the dispersal and impulsive control on dynamical behaviors of the system. Some numerical examples are given to illustrate the effectiveness of the obtained results and to demonstrate the complexity such as chaotic characteristic of the system.

scholarly journals Chaotic characteristic of a linear oscillator coupled with vibro-impact nonlinear energy sink

2017 ◽  
Vol 91 (4) ◽  
pp. 2319-2330 ◽  
Author(s):  
Tao Li ◽  
Claude-Henri Lamarque ◽  
Sébastien Seguy ◽  
Alain Berlioz
Keyword(s):  
Nonlinear Energy Sink ◽  
Linear Oscillator ◽  
Chaotic Characteristic ◽  
Energy Sink ◽  
Nonlinear Energy
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