Heteroclinic Bifurcation and Chaos in Josephson System Driven by an AmplitudeModulated Force
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Heteroclinic Bifurcation and Chaos in Josephson System Driven by an AmplitudeModulated Force
Acta Scientiarum Naturalium Universitatis SunYatseniVol. 50, Issue 5, Pages: 21-27(2011)
作者机构:
1. 山西大学数学科学学院,山西,太原,030006
2.
3. 广州大学数学与信息科学学院,广东,广州,510006
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Published:2011,
Published Online:25 September 2011,
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SHI Yanxiang, HAO Jianghui, BAI Dingyong, et al. Heteroclinic Bifurcation and Chaos in Josephson System Driven by an AmplitudeModulated Force. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(5):21-27(2011)
DOI:
SHI Yanxiang, HAO Jianghui, BAI Dingyong, et al. Heteroclinic Bifurcation and Chaos in Josephson System Driven by an AmplitudeModulated Force. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(5):21-27(2011)DOI:
Heteroclinic Bifurcation and Chaos in Josephson System Driven by an AmplitudeModulated Force
The heteroclinic bifurcation and chaos in Josephson system subjected to an amplitudemodulated force are discussed. By using Melnikov method
the bifurcation conditions of chaotic motion are obtained. The effects of the bifurcation parameters on dynamical behaviors are also studied by using numerical simulations. Numerical simulations including bifurcation diagram of the fixed points
phase portraits
bifurcation diagrams of the system
not only show the consistence with the theoretical analysis but also exhibit the more new complex dynamical behaviors. The results of theoretical analysis and numerical simulations show that the amplitude f and the frequency Ω of the amplitudemodulated force play very important role for dynamics of the system.
关键词
Melnikov方法混沌分支幅值调节力
Keywords
Melnikov methodchaosbifurcationamplitudemodulated force