Semiglobal Chaotification of One Class of n-Dimensional Continuous-Time Systems Via a Time-Delay Feedback
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| Format: | Artículo científico |
| Sprache: | en |
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Instituto Politécnico Nacional
2006
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| _version_ | 1876484958988533760 |
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| author | Konstantin Starkov |
| author_facet | Konstantin Starkov |
| contents | Semiglobal Chaotification of One Class of n-Dimensional Continuous-Time Systems Via a Time-Delay Feedback Konstantin Starkov Oswaldo Cuen Computación chaos anticontrol Polynomial systems rational nonlinearity A semiglobal chaotification problem of n-dimensional polynomial continuous-time systems satisfying one special condition is examined. This problem is solved in two steps. Firstly, by using some polynomial mapping we transform the initial system to some n-th order explicit scalar ordinary differential equation with a rational nonlinearity. On the second step we apply the anticontrol feedback proposed by Wang, Chen and Yu. Our results are applied to nonlocal chaotification of three systems: the Lorenz system, the Burke-Shaw system and the Liu system. 2006 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61590305 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.9 |
| format | Artículo científico |
| id | redalyc_61590305 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Instituto Politécnico Nacional |
| spellingShingle | Semiglobal Chaotification of One Class of n-Dimensional Continuous-Time Systems Via a Time-Delay Feedback Konstantin Starkov Computación chaos anticontrol Polynomial systems rational nonlinearity Semiglobal Chaotification of One Class of n-Dimensional Continuous-Time Systems Via a Time-Delay Feedback Konstantin Starkov Oswaldo Cuen Computación chaos anticontrol Polynomial systems rational nonlinearity A semiglobal chaotification problem of n-dimensional polynomial continuous-time systems satisfying one special condition is examined. This problem is solved in two steps. Firstly, by using some polynomial mapping we transform the initial system to some n-th order explicit scalar ordinary differential equation with a rational nonlinearity. On the second step we apply the anticontrol feedback proposed by Wang, Chen and Yu. Our results are applied to nonlocal chaotification of three systems: the Lorenz system, the Burke-Shaw system and the Liu system. 2006 artículo científico 1405-5546 https://www.redalyc.org/articulo.oa?id=61590305 en http://www.redalyc.org/revista.oa?id=615 Computación y Sistemas application/pdf Instituto Politécnico Nacional Computación y Sistemas (México) Num.3 Vol.9 |
| title | Semiglobal Chaotification of One Class of n-Dimensional Continuous-Time Systems Via a Time-Delay Feedback |
| topic | Computación chaos anticontrol Polynomial systems rational nonlinearity |
| url | https://www.redalyc.org/articulo.oa?id=61590305 |