Experimental realization of a multiscroll chaotic oscillator with optimal maximum Lyapunov exponent.
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....
| Publicado en: | Scientific World Journal pp. 303614 - 303615 |
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| Autores principales: | , , , |
| Formato: | research Journal Article |
| Publicado: |
Wiley-Blackwell
2014
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ccm&AN=103826046&site=ehost-live header: @attributes: shortDbName: ccm uiTerm: 103826046 longDbName: CINAHL Complete uiTag: AN controlInfo: bkinfo: dissinfo: jinfo: jid: 1537744X 1BX5 jtl: Scientific World Journal issn: 1537744X maglogo: N pubinfo: dt: 2014 pid: 480 pub: Wiley-Blackwell place: Malden, Massachusetts artinfo: ui: 103826046 103826046 NLM24883379 2012601882 10.1155/2014/303614 NLM24883379 PMC4030587 103826046 ppf: 303614 ppct: 1 formats: tig: atl: Experimental realization of a multiscroll chaotic oscillator with optimal maximum Lyapunov exponent. aug: au: Tlelo-Cuautle, Esteban Pano-Azucena, Ana Dalia Carbajal-Gomez, Victor Hugo Sanchez-Sanchez, Mauro affil: INAOE, Department of Electronics, 72480 Puebla, MEX, Mexico. sug: subj: Chaos Theory Physics Methods Algorithms Electronics Methods Models, Theoretical ab: 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. pubtype: Academic Journal doctype: research Journal Article ougenre: Article language: English refInfo: holdings: @attributes: islocal: N |
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