Control of chaos

Pramana - Journal of Physics

Volumn 48, Issue 1, 1997, Pages 259-270

  Gadre, Sangeeta D ^a   Varma, V S ^a  

^a UNIVERSITY OF DELHI   (India)

Author keywords

Exponential control; Secure communications; Synchronization

Indexed keywords

COMMUNICATION SYSTEMS; CONTROL; SYNCHRONIZATION;

EXPONENTIAL CONTROL; SECURE COMMUNICATIONS;

CHAOS THEORY;

EID: 0030705416     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02845634     Document Type: Article

References (67)

1. E Ott, C Grebogi and J A Yorke, Phys. Rev. Lett. 64, 1196 (1990)
2. F Takens, in Dynamical systems and turbulence, edited by D Rand and L S Young (Springer-Verlag, Berlin, 1981)
3. G H Gunaratne, P S Linsay and M J Vinson, Phys. Rev. Lett. 63, 1 (1989)
4. W L Ditto, S N Rauseo and M L Spano, Phys. Rev. Lett. 65, 3211 (1990)
5. A Azevedo and S M Rezende, Phys. Rev. Lett. 66, 1342 (1991)
6. B Peng, V Petrov and K Showalter, J. Phys. Chem. 95, 4957 (1991)
7. E R Hunt, Phys. Rev. Lett. 67, 1953 (1991)
8. R Roy, T W Murphy Jr, T D Maier, Z Gills and E R Hunt, Phys. Rev. Lett. 68, 1259 (1992) C Reyl, L Flepp, R Badii and E Brun, Phys. Rev. E47, 267 (1993)
9. R Roy, T W Murphy Jr, T D Maier, Z Gills and E R Hunt, Phys. Rev. Lett. 68, 1259 (1992) C Reyl, L Flepp, R Badii and E Brun, Phys. Rev. E47, 267 (1993)
10. A Garfinkel, W L Ditto, M L Spano and J Weiss, Science 257, 1230 (1992)
11. T Shinbrot, E Ott, C Grebogi and J A Yorke, Phys. Rev. Lett. 65, 3215 (1990); Phys. Rev. A45, 4165 (1992)
12. T Shinbrot, E Ott, C Grebogi and J A Yorke, Phys. Rev. Lett. 65, 3215 (1990); Phys. Rev. A45, 4165 (1992)
13. T Shinbrot, W Ditto, C Grebogi, E Ott, M Spano and J A Yorke, Phys. Rev. Lett. 68, 2863 (1992)
14. B A Huberman and E Lumer, IEEE Trans. Circuit Syst. 37, 547 (1990)
15. U Dressler and G Nitsche, Phys. Rev. Lett. 68, 1 (1992)
16. R W Rollins, P Parmananda and P Sherad, Phys. Rev. E47, R780 (1993)
17. Y C Lai, M Ding and C Grebogi, Phys. Rev. E47, 86 (1993)
18. Y C Lai, M Ding and C Grebogi, Phys. Rev. E49, 1094 (1994)
19. J Alvarez-Ramírez, Phys. Rev. E48, 3165 (1994)
20. T C Newell, P N Alsing, A Gavrielides and V Koranis, Phys. Rev. E49, 313 (1994)
21. S Bielawski, D Derozier and P Gloreieux, Phys. Rev. E49, R971 (1994)
22. K Pyragas, Phys. Lett. A170, 421 (1992)
23. Z Qu, G Hu and B Ma, Phys. Lett. A178, 265 (1993)
24. K Pyragas, Phys. Lett. A181, 203 (1993)
25. A Kittle, K Pyragas and R Richtor, Phys. Rev. E50, 262 (1994)
26. M A Matias and J Güémez, Phys. Lett. A181, 29 (1993)
27. M A Matias and J Güémez, Phys. Rev. Lett. 72, 1455 (1994)
28. B Peng, S K Scott and K Showalter, J. Phys. Chem. 94, 1134 (1991)
29. J Singer, Y Z Wang and H H Bau, Phys. Rev. Lett. 66, 1123 (1993)
30. Y H Chen and M Y Chou, Phys. Rev. E50, 2331 (1994)
31. S Sinha, R Ramaswamy and J S Rao, Physica D43, 118 (1990)
32. J K John and R E Amritkar, Phys. Rev. E49, 4843 (1994)
33. E A Jackson, Phys. Rev. A44, 4839 (1991)
34. R Lima and M Pettini, Phys. Rev. A41, 726 (1990)
35. Y Braiman and I Goldhirsh, Phys. Rev. Lett. 66, 2545 (1991)
36. G Chen and X Dong, Int. J. Bifur. Chaos 2, 407 (1992)
37. S Rajasekar and M Lakshmanan, Physica D67, 282 (1993)
38. S Rajasekar, Chaos, Solitons and Fractals 5, 2135 (1995)
39. S Parthasarthy and S Sinha, Phys. Rev. E51, 6239 (1995)
40. K Chakrabarty and S Banerjee, Phys. Lett. A200, 115 (1995)
41. L M Pecora and T L Carroll, Phys. Rev. Lett. 64, 821 (1990); Phys. Rev. A44, 2374 (1991)
42. L M Pecora and T L Carroll, Phys. Rev. Lett. 64, 821 (1990); Phys. Rev. A44, 2374 (1991)
43. T L Carroll and L M Pecora, IEEE Trans. Circuits Syst. 38, 453 (1991); 40, R1620 (1993)
44. T L Carroll and L M Pecora, IEEE Trans. Circuits Syst. 38, 453 (1991); 40, R1620 (1993)
45. R E Amritkar and N Gupte, Phys. Rev. A49, R3403 (1991)
46. L M Pecora and T L Carroll, Phys. Rev. Lett. 67, 943 (1991); Phys. Rev. E48, 2426 (1993)
47. L M Pecora and T L Carroll, Phys. Rev. Lett. 67, 943 (1991); Phys. Rev. E48, 2426 (1993)
48. T Kapitaniak, Phys. Rev. E50, 1642 (1994)
49. K Murali and M Lakshmanan, Phys. Rev. E49, 4882 (1994)
50. M Ding and E Ott, Phys. Rev. E149, R495 (1994)
51. K M Cuomo and A V Oppenheim, Phys. Rev. Lett. 71, 65 (1993)
52. N Gupte and R E Amritkar, Phys. Rev. E48, R1620 (1993)
53. S D Gadre and V S Varma, Pramana - J. Phys. 43, 431 (1994)
54. S D Gadre and V S Varma, Pramana - J. Phys. 45, 355 (1995)
55. E N Lorenz, J. Atoms. Sci. 20, 130 (1976)
56. M Hénon, Commun. Math. Phys. 50, 69 (1976)
57. C Sparrow, The Lorenz equations, bifurcations and chaos (Springer Verlag, New York, 1982)
58. T Bohr and O B Christensen, Phys. Rev. Lett. 63, 2161 (1989)
59. K Kaneko, Prog. Theor. Phys. 74, 1033 (1985); Physica (Amsterdam) D23, 437 (1986); D34, 1 (1989); D37, 60 (1989)
60. K Kaneko, Prog. Theor. Phys. 74, 1033 (1985); Physica (Amsterdam) D23, 437 (1986); D34, 1 (1989); D37, 60 (1989)
61. K Kaneko, Prog. Theor. Phys. 74, 1033 (1985); Physica (Amsterdam) D23, 437 (1986); D34, 1 (1989); D37, 60 (1989)
62. K Kaneko, Prog. Theor. Phys. 74, 1033 (1985); Physica (Amsterdam) D23, 437 (1986); D34, 1 (1989); D37, 60 (1989)
63. J P Crutchfield and K Kaneko, in Directions in chaos edited by Hao Bai-Lin (World Scientific, Singapore, 1987); Phys. Rev. Lett. 60, 2715 (1988)
64. J P Crutchfield and K Kaneko, in Directions in chaos edited by Hao Bai-Lin (World Scientific, Singapore, 1987); Phys. Rev. Lett. 60, 2715 (1988)
65. J D Keeler and J D Farmer, Physica (Amsterdam) D23, 413 (1986)
66. E J Ding and Y N Lu, J. Phys. A25, 2897 (1992)
67. G Hu and Z Qu, Phys. Rev. Lett. 72, 68 (1994)