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Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent

التفاصيل البيبلوغرافية
العنوان: Experimental Realization of a Multiscroll Chaotic Oscillator with Optimal Maximum Lyapunov Exponent
المؤلفون: Esteban Tlelo-Cuautle, Ana Dalia Pano-Azucena, Victor Hugo Carbajal-Gomez, Mauro Sanchez-Sanchez
المصدر: The Scientific World Journal, Vol 2014 (2014)
بيانات النشر: Hindawi Limited, 2014.
سنة النشر: 2014
المجموعة: LCC:Technology
LCC:Medicine
LCC:Science
مصطلحات موضوعية: Technology, Medicine, Science
الوصف: 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.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2356-6140
1537-744X
Relation: https://doaj.org/toc/2356-6140; https://doaj.org/toc/1537-744X
DOI: 10.1155/2014/303614
URL الوصول: https://doaj.org/article/46528c4e28f1483c89bcd76f0ccaee37
رقم الانضمام: edsdoj.46528c4e28f1483c89bcd76f0ccaee37
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:23566140
1537744X
DOI:10.1155/2014/303614