| Symmetric bursting behaviour in non-smooth Chua’s circuit |
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| 引用本文： | 季颖,毕勤胜. Symmetric bursting behaviour in non-smooth Chua’s circuit[J]. 中国物理 B, 2010, 19(8): 80510-080510. DOI: 10.1088/1674-1056/19/8/080510 |
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| 作者姓名： | 季颖 毕勤胜 |
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| 作者单位： | Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant Nos. 10972091, 20976075 and 10872080). |
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| 摘 要： | <正>The dynamics of a non-smooth electric circuit with an order gap between its parameters is investigated in this paper.Different types of symmetric bursting phenomena can be observed in numerical simulations.Their dynamical behaviours are discussed by means of slow-fast analysis.Furthermore,the generalized Jacobian matrix at the non-smooth boundaries is introduced to explore the bifurcation mechanism for the bursting solutions,which can also be used to account for the evolution of the complicated structures of the phase portraits.With the variation of the parameter,the periodic symmetric bursting can evolve into chaotic symmetric bursting via period-doubling bifurcation.
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| 关 键 词： | non-smooth electric circuit symmetric bursting bifurcation mechanism |
| 收稿时间： | 2009-09-22 |
Symmetric bursting behaviour in non-smooth Chua's circuit |
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| Ji Ying and Bi Qin-Sheng. Symmetric bursting behaviour in non-smooth Chua's circuit[J]. Chinese Physics B, 2010, 19(8): 80510-080510. DOI: 10.1088/1674-1056/19/8/080510 |
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| Authors: | Ji Ying and Bi Qin-Sheng |
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| Affiliation: | Faculty of Science, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | The dynamics of a non-smooth electric circuit with an order gap between its parameters is investigated in this paper. Different types of symmetric bursting phenomena can be observed in numerical simulations. Their dynamical behaviours are discussed by means of slow-fast analysis. Furthermore, the generalized Jacobian matrix at the non-smooth boundaries is introduced to explore the bifurcation mechanism for the bursting solutions, which can also be used to account for the evolution of the complicated structures of the phase portraits. With the variation of the parameter, the periodic symmetric bursting can evolve into chaotic symmetric bursting via period-doubling bifurcation. |
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| Keywords: | non-smooth electric circuit symmetric bursting bifurcation mechanism |
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