| Dynamical behaviors of a system with switches between the Rssler oscillator and Chua circuits |
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| 引用本文： | 张春,余跃,韩修静,毕勤胜.Dynamical behaviors of a system with switches between the Rssler oscillator and Chua circuits[J].中国物理 B,2012(10):130-136. |
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| 作者姓名： | 张春 余跃 韩修静 毕勤胜 |
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| 作者单位： | Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （Grant No. 20976075） |
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| 摘 要： | The behaviors of a system that alternates between the R¨ossler oscillator and Chua＇s circuit is investigated to explore the influence of the switches on the dynamical evolution.Switches related to the state variables are introduced,upon which a typical switching dynamical model is established.Bifurcation sets of the subsystems are derived via analysis of the related equilibrium points,which divide the parameters into several regions corresponding to different types of attractors.The dynamics behave typically in period orbits with the variation of the parameters.The focus/cycle periodic switching phenomenon is explored in detail to present the mechanism of the movement.The period-doubling bifurcation to chaos can be observed via the doubling increase of the turning points related to the switches.Furthermore,period-decreasing sequences have been obtained,which can be explained by the variation of the eigenvalues associated with the equilibrium points of the subsystems.
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| 关 键 词： | 动力学行为 电路系统 振荡器 交换机 倍周期分岔 动力学演化 动力学模型 周期性 |
Dynamical behaviors of a system with switches between the Rossler oscillator and Chua circuits |
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| Zhang Chun,Yu Yue,Han Xiu-Jing,Bi Qin-Sheng.Dynamical behaviors of a system with switches between the Rossler oscillator and Chua circuits[J].Chinese Physics B,2012(10):130-136. |
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| Authors: | Zhang Chun Yu Yue Han Xiu-Jing Bi Qin-Sheng |
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| Institution: | Faculty of Civil Engineering and Mechanics, Jiangsu University, Zhenjiang 212013, China |
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| Abstract: | switching dynamical system bifurcation mechanism focus/cycle switching chaotic oscillation |
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| Keywords: | switching dynamical system bifurcation mechanism focus/cycle switching chaotic oscillation |
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