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Yong Liu, Zuo-lei Wang, Bi Qin-Sheng. Phase synchronization of two coupled Rossler oscillators with internal resonance[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(4): 572-576. DOI: 10.6052/0459-1879-2008-4-2007-499
Citation: Yong Liu, Zuo-lei Wang, Bi Qin-Sheng. Phase synchronization of two coupled Rossler oscillators with internal resonance[J]. Chinese Journal of Theoretical and Applied Mechanics, 2008, 40(4): 572-576. DOI: 10.6052/0459-1879-2008-4-2007-499
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Phase synchronization of two coupled Rossler oscillators with internal resonance

  • School of Mathematical Science, Yancheng Teachers University, Yancheng 224009, ChinaFaculty of Science, Jiangsu University, Zhenjiang 212013,ChinaFaculty of Science, Jiangsu University, Zhenjiang 212013,China

  • Received Date: October 14, 2007
  • Revised Date: January 06, 2008
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  • Phase synchronization between linearly and nonlinearlycoupled systems with internal resonance was investigated in this paper. Theconception of phase for a chaotic motion was introduced to demonstrate theeffect of the detuning parameter σ between the two naturalfrequencies ω1 and ω2 on the phase dynamics. The resultsshowed that phase synchronization between two subsystems was enhanced withthe increase of the linear coupling strength and decayed with the increaseof nonlinear coupling strength. Further investigation reveals that thetransition of phase states between the two oscillators are related to thecritical changes of the Lyapunov exponents.
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