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

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 fo...

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Published inChinese physics B Vol. 20; no. 12; pp. 123 - 129
Main Author 李日明 冯玉玲 姚治海 范健
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.12.2011
Subjects
Adjustment
Arrays
Bias
Chaos theory
Computer simulation
Josephson junctions
Mathematical models
Resistors
偏置电流
分路
控制
混沌状态
混沌行为
约瑟夫森结
超混沌
阵列
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ISSN1674-1056
2058-3834
1741-4199
DOI10.1088/1674-1056/20/12/120504

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Summary: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.
Bibliography:hyperchaos, controlling hyperchaos, array of RCL-shunted Josephson junctions, Lyapunov exponent
11-5639/O4
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.
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ISSN:1674-1056
2058-3834
1741-4199
DOI:10.1088/1674-1056/20/12/120504