Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent
Joint Authors
Tlelo-Cuautle, Esteban
Pano-Azucena, Ana Dalia
Carbajal-Gomez, Victor Hugo
Sanchez-Sanchez, Mauro
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-16
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
Nowadays, different kinds of experimental realizations of chaotic oscillators have been already presented in the literature.
However, those realizations do not consider the value of the maximum Lyapunov exponent, which gives a quantitative measure of the grade of unpredictability of chaotic systems.
That way, this paper shows the experimental realization of an optimized multiscroll chaotic oscillator based on saturated function series.
First, from the mathematical description having four coefficients (a, b, c, d1), an optimization evolutionary algorithm varies them to maximize the value of the positive Lyapunov exponent.
Second, a realization of those optimized coefficients using operational amplifiers is given.
Herein a, b, c, d1 are implemented with precision potentiometers to tune up to four decimals of the coefficients having the range between 0.0001 and 1.0000.
Finally, experimental results of the phase-space portraits for generating from 2 to 10 scrolls are listed to show that their associated value for the optimal maximum Lyapunov exponent increases by increasing the number of scrolls, thus guaranteeing a more complex chaotic behavior.
American Psychological Association (APA)
Tlelo-Cuautle, Esteban& Pano-Azucena, Ana Dalia& Carbajal-Gomez, Victor Hugo& Sanchez-Sanchez, Mauro. 2014. Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1049139
Modern Language Association (MLA)
Tlelo-Cuautle, Esteban…[et al.]. Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent. The Scientific World Journal No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1049139
American Medical Association (AMA)
Tlelo-Cuautle, Esteban& Pano-Azucena, Ana Dalia& Carbajal-Gomez, Victor Hugo& Sanchez-Sanchez, Mauro. Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1049139
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1049139