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Chin. Phys. B, 2011, Vol. 20(12): 120504    DOI: 10.1088/1674-1056/20/12/120504
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Hyperchaotic behaviours and controlling hyperchaos in an array of RCL-shunted Josephson junctions

Ri Ilmyong(李日明)a)b), Feng Yu-Ling(冯玉玲)a)†, Yao Zhi-Hai(姚治海)a), and Fan Jian(范健)a)
a Department of Physics, Science College, Changchun University of Science and Technology, Changchun 130022, China; Department of Physics, University of Science, Unjong Strict, Pyongyang, DPR Korea
Abstract  This paper deals with dynamical behaviours in an array composed of two resistive-capacitive-inductive-shunted (RCL-shunted) Josephson junctions (RCLSJJs) and a shunted resistor. Numerical simulations show that periodic, chaotic and hyperchaotic states can coexist in this array. Moreover, a scheme for controlling hyperchaos in this array is presented by adjusting the external bias current. Numerical results confirm that this scheme can be effectively used to control hyperchaotic states in this array into stable periodic states, and different stable periodic states with different period numbers can be obtained by appropriately choosing the intensity of the external bias current.
Keywords:  hyperchaos      controlling hyperchaos      array of RCL-shunted Josephson junctions      Lyapunov exponent  
Received:  13 June 2011      Revised:  13 July 2011      Accepted manuscript online: 
PACS:  05.45.Pq (Numerical simulations of chaotic systems)  
  74.50.+r (Tunneling phenomena; Josephson effects)  

Cite this article: 

Ri Ilmyong(李日明), Feng Yu-Ling(冯玉玲), Yao Zhi-Hai(姚治海), and Fan Jian(范健) Hyperchaotic behaviours and controlling hyperchaos in an array of RCL-shunted Josephson junctions 2011 Chin. Phys. B 20 120504

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