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Chin. Phys. B, 2010, Vol. 19(8): 080510    DOI: 10.1088/1674-1056/19/8/080510
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Symmetric bursting behaviour in non-smooth Chua's circuit

Ji Ying, Bi Qin-Sheng
Faculty of Science, Jiangsu University, Zhenjiang 212013, China
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.
Keywords:  bifurcation mechanism      non-smooth electric circuit      symmetric bursting     
Received:  22 September 2009      Published:  15 August 2010
PACS:  84.30.Bv (Circuit theory)  
  02.10.Yn (Matrix theory)  
  02.30.Oz (Bifurcation theory)  
  02.60.Cb (Numerical simulation; solution of equations)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10972091, 20976075 and 10872080).

Cite this article: 

Ji Ying, Bi Qin-Sheng Symmetric bursting behaviour in non-smooth Chua's circuit 2010 Chin. Phys. B 19 080510

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