Hyperchaotic behaviours and controlling hyperchaos in an array of RCL-shunted Josephson junctions

doi:10.1088/1674-1056/20/12/120504

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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Hyperchaotic behaviours and controlling hyperchaos in an array of RCL-shunted Josephson junctions

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