Feedback control modulation for controlling chaotic maps
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| Format: | Artículo científico |
| Sprache: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876424273858396160 |
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| author | Roberta Hansen |
| author_facet | Roberta Hansen |
| contents | Feedback control modulation for controlling chaotic maps Roberta Hansen Graciela A González Matemáticas Chaos control parameter modulation control of hyperchaos delayed feedback control proportional feedback control Based on existing feedback control methods such as OGY and Pyragas, alternative new schemes are proposed for stabilization of unstable periodic orbits of chaotic and hypercha- otic dynamical systems by suitable modulation of a control parameter. Their performances are improved with respect to: (i) robustness, (ii) rate of convergences, (iii) reduction of waiting time,(iv) reduction of noise sensitivity. These features are analytically investigated, the achievements are rigorously proved and supported by numerical simulations. The proposed methods result successful for stabilizing unstable periodic orbits in some classical discrete maps like 1-D logistic and standard 2-D Hénon, but also in the hyperchaotic generalized .-D Hénon-like maps. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172973003 https://www.redalyc.org/journal/6941/694172973003/ https://www.redalyc.org/journal/6941/694172973003/html/ https://www.redalyc.org/journal/6941/694172973003/694172973003.epub https://www.redalyc.org/journal/6941/694172973003/movil https://doi.org/10.15388/namc.2021.26.23052 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.3 Vol.26 |
| format | Artículo científico |
| id | redalyc_694172973003 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Feedback control modulation for controlling chaotic maps Roberta Hansen Matemáticas Chaos control parameter modulation control of hyperchaos delayed feedback control proportional feedback control Feedback control modulation for controlling chaotic maps Roberta Hansen Graciela A González Matemáticas Chaos control parameter modulation control of hyperchaos delayed feedback control proportional feedback control Based on existing feedback control methods such as OGY and Pyragas, alternative new schemes are proposed for stabilization of unstable periodic orbits of chaotic and hypercha- otic dynamical systems by suitable modulation of a control parameter. Their performances are improved with respect to: (i) robustness, (ii) rate of convergences, (iii) reduction of waiting time,(iv) reduction of noise sensitivity. These features are analytically investigated, the achievements are rigorously proved and supported by numerical simulations. The proposed methods result successful for stabilizing unstable periodic orbits in some classical discrete maps like 1-D logistic and standard 2-D Hénon, but also in the hyperchaotic generalized .-D Hénon-like maps. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694172973003 https://www.redalyc.org/journal/6941/694172973003/ https://www.redalyc.org/journal/6941/694172973003/html/ https://www.redalyc.org/journal/6941/694172973003/694172973003.epub https://www.redalyc.org/journal/6941/694172973003/movil https://doi.org/10.15388/namc.2021.26.23052 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.3 Vol.26 |
| title | Feedback control modulation for controlling chaotic maps |
| topic | Matemáticas Chaos control parameter modulation control of hyperchaos delayed feedback control proportional feedback control |
| url | https://www.redalyc.org/articulo.oa?id=694172973003 https://www.redalyc.org/journal/6941/694172973003/ https://www.redalyc.org/journal/6941/694172973003/html/ https://www.redalyc.org/journal/6941/694172973003/694172973003.epub https://www.redalyc.org/journal/6941/694172973003/movil https://doi.org/10.15388/namc.2021.26.23052 |