A generic method to construct new customized-shaped haotic systems using the relative motion concept
Constructing chaotic systems tailored for each particular real-world application has been a long-term research desideratum. We report a solution for this problem based on the concept of relative motion. We investigate the periodic motion on a closed contour of a coordinate frame in which a chaotic s...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Vilnius University Press
2016-05-01
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| Series: | Nonlinear Analysis |
| Subjects: | |
| Online Access: | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13478 |
| _version_ | 1829465345635647488 |
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| author | Daniel-Ioan Curiac Constantin Volosencu |
| author_facet | Daniel-Ioan Curiac Constantin Volosencu |
| author_sort | Daniel-Ioan Curiac |
| collection | DOAJ |
| description | Constructing chaotic systems tailored for each particular real-world application has been a long-term research desideratum. We report a solution for this problem based on the concept of relative motion. We investigate the periodic motion on a closed contour of a coordinate frame in which a chaotic system evolves. By combining these two motions (periodic on a close contour and chaotic) new customized shape trajectories are acquired. We demonstrate that these trajectories obtained in the stationary frame are also chaotic and, moreover, conserve the Lyapunov exponents of the initial chaotic system. Based on this finding we developed an innovative method to construct new chaotic systems with customized shapes, thus fulfilling the requirements of any particular application of chaos. |
| first_indexed | 2024-12-13T16:52:45Z |
| format | Article |
| id | doaj.art-372a00c7ddab4b599a03c3d1b2a69704 |
| institution | Directory Open Access Journal |
| issn | 1392-5113 2335-8963 |
| language | English |
| last_indexed | 2024-12-13T16:52:45Z |
| publishDate | 2016-05-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Nonlinear Analysis |
| spelling | doaj.art-372a00c7ddab4b599a03c3d1b2a697042022-12-21T23:37:59ZengVilnius University PressNonlinear Analysis1392-51132335-89632016-05-0121310.15388/NA.2016.3.8A generic method to construct new customized-shaped haotic systems using the relative motion conceptDaniel-Ioan Curiac0Constantin Volosencu1Politehnica University of Timisoara, RomaniaPolitehnica University of Timisoara, RomaniaConstructing chaotic systems tailored for each particular real-world application has been a long-term research desideratum. We report a solution for this problem based on the concept of relative motion. We investigate the periodic motion on a closed contour of a coordinate frame in which a chaotic system evolves. By combining these two motions (periodic on a close contour and chaotic) new customized shape trajectories are acquired. We demonstrate that these trajectories obtained in the stationary frame are also chaotic and, moreover, conserve the Lyapunov exponents of the initial chaotic system. Based on this finding we developed an innovative method to construct new chaotic systems with customized shapes, thus fulfilling the requirements of any particular application of chaos.http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13478chaotic system,relative motionLyapunov exponents |
| spellingShingle | Daniel-Ioan Curiac Constantin Volosencu A generic method to construct new customized-shaped haotic systems using the relative motion concept Nonlinear Analysis chaotic system, relative motion Lyapunov exponents |
| title | A generic method to construct new customized-shaped haotic systems using the relative motion concept |
| title_full | A generic method to construct new customized-shaped haotic systems using the relative motion concept |
| title_fullStr | A generic method to construct new customized-shaped haotic systems using the relative motion concept |
| title_full_unstemmed | A generic method to construct new customized-shaped haotic systems using the relative motion concept |
| title_short | A generic method to construct new customized-shaped haotic systems using the relative motion concept |
| title_sort | generic method to construct new customized shaped haotic systems using the relative motion concept |
| topic | chaotic system, relative motion Lyapunov exponents |
| url | http://www.zurnalai.vu.lt/nonlinear-analysis/article/view/13478 |
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