scholarly journals Dynamical topology and statistical properties of spatiotemporal chaos

2012 ◽  
Vol 22 (4) ◽  
pp. 043133 ◽  
Author(s):  
Quntao Zhuang ◽  
Xun Gao ◽  
Qi Ouyang ◽  
Hongli Wang
Keyword(s):  
Spatiotemporal Chaos ◽  
Statistical Properties ◽  
Dynamical Topology

CHAOTIFICATION OF SPATIOTEMPORAL SYSTEMS

2010 ◽  
Vol 20 (07) ◽  
pp. 2193-2202 ◽  
Author(s):  
PING LI ◽  
ZHONG LI ◽  
WOLFGANG A. HALANG
Keyword(s):  
Chaos Control ◽  
Chaotic Systems ◽  
Sufficient Conditions ◽  
Spatiotemporal Chaos ◽  
Statistical Properties ◽  
Rigorous Proof ◽  
System Parameters ◽  
Simulation Results ◽  
Random Bit Generators

Spatiotemporal chaotic systems have been applied to design pseudo-random-bit generators or ciphers for better cryptographic performance, where spatiotemporal chaos is desirable. This paper presents a chaotification method (or anti-chaos control) for creating spatiotemporal systems, which are originally either nonchaotic or chaotic, strongly chaotic. Sufficient conditions on the system parameters for chaotification are obtained. A mathematically rigorous proof shows that the chaotified system satisfying the parameter conditions is chaotic in the sense of Li–Yorke and Devaney, respectively. Moreover, the chaotification method is applicable to other spatiotemporal systems even with different configurations. Simulation results have illustrated the effectiveness of the proposed chaotification method. Additionally, the statistical properties of the spatiotemporal systems and their chaotified counterparts are analyzed and compared, showing that the chaotification method endows the spatiotemporal systems with good statistical properties. Therefore, the chaotification method can be used for applications of spatiotemporal systems in cryptography.

Statistical properties of type I intermittency

1982 ◽  
Vol 43 (4) ◽  
pp. 585-589 ◽  
Author(s):  
M. N. Bussac ◽  
C. Meunier
Keyword(s):  
Statistical Properties ◽  
Type I

Correlation in the heart rate data

1998 ◽  
Vol 2 ◽  
pp. 141-148
Author(s):  
J. Ulbikas ◽  
A. Čenys ◽  
D. Žemaitytė ◽  
G. Varoneckas
Keyword(s):  
Nonlinear Dynamics ◽  
Experimental Data ◽  
Heart Rate ◽  
Time Series ◽  
Cardiovascular Function ◽  
Statistical Properties ◽  
Rate Data ◽  
Heart Rate Data ◽  
Dynamical Nature ◽  
Analysis Of Time Series

Variety of methods of nonlinear dynamics have been used for possibility of an analysis of time series in experimental physiology. Dynamical nature of experimental data was checked using specific methods. Statistical properties of the heart rate have been investigated. Correlation between of cardiovascular function and statistical properties of both, heart rate and stroke volume, have been analyzed. Possibility to use a data from correlations in heart rate for monitoring of cardiovascular function was discussed.

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