Generalized control and synchronization of chaos in RCL-shunted Josephson junction using backstepping design

Physica C: Superconductivity and its Applications

Volumn 470, Issue 13-14, 2010, Pages 558-564

  Njah, A N ^a   Ojo, K S ^a   Adebayo, G A ^a   Obawole, A O ^a  

^a FEDERAL UNIVERSITY OF AGRICULTURE   (Nigeria)

Author keywords

Backstepping technique; Chaos control; Josephson junction; Projective synchronization

Indexed keywords

BACKSTEPPING DESIGN; BACKSTEPPING TECHNIQUE; CHAOS CONTROL; CHAOTIC DYNAMICS; CONTROL FUNCTIONS; GENERALIZED PROJECTIVE SYNCHRONIZATION; INITIAL CONDITIONS; JOSEPHSON JUNCTIONS; NONLINEAR CONTROL THEORY; NUMERICAL SIMULATION; PROJECTIVE SYNCHRONIZATION; RECURSIVE APPROACH; SYNCHRONIZATION OF CHAOS; TRACKING CONTROLS;

BACKSTEPPING; CHAOS THEORY; COMPUTER SIMULATION; DESIGN; JOSEPHSON JUNCTION DEVICES; LYAPUNOV FUNCTIONS; QUANTUM OPTICS; RECURSIVE FUNCTIONS; SYNCHRONIZATION;

CONTROLLERS;

EID: 77953651881     PISSN: 09214534     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physc.2010.05.009     Document Type: Article

References (54)

1. Soodchomshom B., Tang I.M., and Hoonsawat R. Solid State Commun. 149 (2009) 1012
2. Machida M., and Koyama T. Phys. Rev. B 70 (2004) 024523
3. Shukrinov Y.M., and Mahfouzi F. J. Phys. Chem. Solids 69 (2008) 3205
4. Machida M., Koyama T., Tanaka A., and Tachiki M. Physica C 330 (2000) 85
5. Suzuki M., Hayashi M., and Ebisawa H. J. Phys. Chem. Solid 69 (2008) 3253
6. Chitra R.N., and Kuriakose V.C. Chaos 18 (2008) 013125
7. Pozzo E.N., and Doi{dotless}́nguez D. Phys. Rev. Lett. 98 (2007) 057006
8. Inomata K., Sato S., Nakajima K., Tanaka A., Wang H.B., Nagao M., Hatano H., and Kawabata S. Phys. Rev. Lett. 95 (2005) 107005
9. Machida M., Kano T., Yamada S., Okumora M., Imamura T., and Koyama T. J. Phys. Chem. Solids 69 (2008) 3221
10. Koyama T., and Machida M. J. Phys. Chem. Solids 69 (2008) 3232
11. Vincent U.E., Ucar A., Laoye J.A., and Kareem S.O. Physica C 468 (2008) 374
12. K.K. Likharev, Dynamics of Josephson Junctions and Circuits, Gorden and Breach, New York 1986.
13. Dana S.K., Sengupta D.C., and Edoh K.D. IEEE Trans. Circ. Syst. I 48 (2001) 990
14. Cawthorne A.B., Whan C.B., and Lobb C.L. Appl. Phys. 84 (1998) 1126
15. Yang X.S., and Li Q. Chaos Solitons Fract. 27 (2006) 25
16. Wu Q., and Li F. Chin. Phys. Lett. 21 (2007) 610
17. Njah A.N., and Sunday O.D. Chaos Solitons Fract. 41 (2009) 2371
18. Belykh V.N., Pedersen N.F., and Soerensen H. Phys. Rev. B 16 (1977) 4853
19. Belykh V.N., Pedersen N.F., and Soerensen H. Phys. Rev. B 16 (1977) 4860
20. Guo R., Vincent U.E., and Idowu B.A. Phys. Scripta 79 (2009) 035801
21. Whan C.B., and Lobb C.J. IEEE Trans. Appl. Supercond. 5 (1995) 3094
22. Whan C.B., and Lobb C.J. Phys. Rev. E 53 (1996) 405
23. Chevriaux D., Khomeriki R., and Leon J. Phys. Rev. B 73 (2006) 214516
24. Al-Kawaja S. Physica C 420 (2005) 30
25. Dana S.K., Roy P.K., Sethia G.C., Sen A., and Sengupta D.C. IEEE Proc. Circ. Dev. Syst. 153 (2006) 453
26. Ucar A., Lonngren K.E., and Bai E.W. Chaos Solitons Fract. 31 (2007) 105
27. Yan J.J., Huang C.F., and Lin J.S. Nonlinear Anal. Real World Appl. (2008) 10.1016/j.nonrwa.2008.10.009
28. Blackburn J.A., Baker G.L., and Smith H.J.T. Phys. Rev. B 62 (2000) 5931
29. Zhao Y., and Wang W. Chaos Solitons Fract. 41 (2009) 60
30. Rulkov N.F., Sshchik M.M., and Tsimring L.S. Phys. Rev. E 51 (1995) 980
31. Yang S.S., and Duan C.K. Chaos Solitons Fract. 9 (1998) 1703
32. Li G.H., Zhou S.P., and Yang K. Phys. Lett. A 355 (2006) 326
33. Feng C.F., Xu X.J., Wang S.J., and Wang Y.H. Chaos 18 (2008) 023117
34. Juan M., and Xingyuan W. Chaos 18 (2008) 023108
35. Jia Q. Phys. Lett. A (2007) 10.1016/j.physleta.2007.05.028
36. Hu M., Xu Z., and Zhang R. Commun. Nonlinear Sci. Numer. Simulat. 13 (2008) 456
37. Zhang Q., and Lu J. Phys. Lett A 372 (2008) 1416
38. Zhu H.L., and Zhang X.B. J. Inform. Comput. Sci. 4 (2009) 033
39. Park J.H. J. Comput. Appl. Math. 213 (2008) 288
40. Yau H.T. Phys. Lett. A 372 (2008) 2380
41. Hung M.L., Yan J.J., and Liao T.L. Chaos Solitons Fract. 35 (2008) 181
42. Hu M., Yang Y., and Xu Z. Phys. Lett. A 372 (2008) 3228
43. Hu M., Xu Z., and Zhang R. Commun. Nonlinear Sci. Numer. Simulat. 13 (2008) 782
44. Hu M., Xu Z., Zhang R., and Hu A. Phys. Lett. A 365 (2007) 315
45. Hu M., Xu Z., Zhang R., and Hu A. Phys. Lett. A 361 (2007) 231
46. Li R.H. Appl. Math. Comput. 200 (2008) 321
47. Ott E., Grebogi C., and Yorke J.A. Phys. Rev. Lett. 64 (1990) 1196
48. Pecora L.M., and Carroll T.L. Phys. Rev. Lett. 64 (1990) 821
49. Tan X., Zhang J., and Yang Y. Chaos Solitons Fract. 16 (2003) 37
50. Yu Y., and Zhang S. Chaos Solitons Fract. 15 (2003) 897
51. Zhang H., Ma X.K., Yang Y., and Xu C.D. Chin Phys. 14 (2005) 86
52. Zhang H., Ma X.K., Li M., and Zou J.L. Chaos Solitons Fract. 26 (2005) 352
53. Njah A.N., and Ojo K.S. Far East J. Dyn. Syst. 11 (2009) 143
54. Vincent U.E., Njah A.N., and Laoye J.A. Physica D 231 (2007) 130