Master-slave synchronization of continuously and intermittently coupled sampled-data chaotic oscillators

Communications in Nonlinear Science and Numerical Simulation

Volumn 15, Issue 12, 2010, Pages 4100-4113

  Lee, Sang Hoon ^a   Kapila, Vikram ^a   Porfiri, Maurizio ^a   Panda, Anshuman ^a  

^a POLYTECHNIC UNIVERSITY   (United States)

Author keywords

Chaos; Linear matrix inequality; Microcontroller; Sampled data; Synchronization

Indexed keywords

CHAOS CONTROL; CHAOTIC SYSTEMS; CIRCUIT OSCILLATIONS; CONTINUOUS TIME SYSTEMS; CONTROLLERS; DISCRETE TIME CONTROL SYSTEMS; FEEDBACK CONTROL; MICROCONTROLLERS; NONLINEAR CONTROL SYSTEMS; STATE FEEDBACK; SYNCHRONIZATION;

CHAOTIC OSCILLATORS; CONTINUOUS COUPLINGS; DATA SETTINGS; EULER APPROXIMATION; GLOBAL ASYMPTOTIC SYNCHRONIZATIONS; INITIAL CONDITIONS; LINEAR MATRIX IN EQUALITIES; MASTER-SLAVE CHAOTIC SYSTEMS; MASTER-SLAVE SYNCHRONIZATION; SAMPLED DATA;

LINEAR MATRIX INEQUALITIES;

EID: 77952745247     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2010.01.035     Document Type: Article

References (55)

1. Boccaletti S., Kurths J., Osipov G., Valladares D.L., and Zhou C.S. The synchronization of chaotic systems. Phys Rep 366 (2002) 1-101
2. In: Chen G., and Yu X. (Eds). Chaos control theory and applications. Lecture notes in control and information sciences vol. 292 (2003), Springer, Berlin
3. Gonzalez-Miranda J.M. Synchronization and control of chaos (2004), Imperial College Press, London
4. Camazine S., Ristine W., and Didion M.E. Self-organization in biological systems (2003), Princeton University Press
5. Buck J., and Buck E. Synchronous Fireflies. Sci Am 234 (1976) 74
6. Collins J.J., and Stewart I. Coupled nonlinear oscillators and the symmetries of animal gaits. Science 3 (1993) 349-392
7. Honerkamp J. The heart as a system of coupled nonlinear oscillators. J Math Biol 19 (1983) 69-88
8. Netoff T.I., and Schiff S.J. Decreased neuronal synchronization during experimental seizures. J Neurosci 22 (2002) 7297-7307
9. Cuomo K.M., Oppenheim V.A., and Strogatz S.H. Synchronization of Lorentz-based chaotic circuits with application to communications. IEEE Trans Circuits Syst II 40 (1993) 626-633
10. Feki M. An adaptive chaos synchronization scheme applied to secure communication. Chaos Soliton Fract 18 (2003) 141-148
11. Feki M., Robert B., Gelle G., and Colas M. Secure digital communication using discrete-time chaos synchronization. Chaos Soliton Fract 18 (2003) 881-890
12. Hayes S., Grebogi C., and Ott E. Communicating with chaos. Phys Rev Lett 70 (1993) 3031-3034
13. Jovic B., Unsworth C.P., Sandhu G.S., and Berber S.M. A robust sequence synchronization unit for multi-user DS-CDMA chaos-based communication systems. Signal Process 87 (2007) 1692-1708
14. Miliou A.N., Antoniades I.P., Stavrinides S.G., and Anagnostopulos A.N. Secure communication by chaotic synchronization: robustness under noisy conditions. Nonlinear Anal: Real World Appl 8 (2007) 1003-1012
15. Yang T., Wu C.W., and Chua L. Cryptography based on chaotic systems. IEEE Trans Circuits Syst I: Fundam Theory Appl 44 (1997) 469-472
16. Ge Z., and Chen Y. Synchronization of mutual coupled chaotic systems via partial stability theory. Chaos Soliton Fract 34 (2007) 787-794
17. Tsay S., Huang C., Qiu D., and Chen W. Implementation of bidirectional chaotic communication systems based on Lorenz circuits. Chaos Soliton Fract 20 (2004) 567-579
18. Yu Y., and Zhang S. The synchronization of linearly bidirectional coupled chaotic systems. Chaos Soliton Fract 22 (2004) 189-197
19. Carroll T.L., and Pecora L.M. Synchronizing chaotic circuits. IEEE Trans Circuits Syst 38 (1991) 453-456
20. Jiang G.P., Tang W.K.S., and Chen G. A simple global synchronization criterion for coupled chaotic system. Chaos Soliton Fract 15 (2003) 925-935
21. Lerescu A.I., Contandache N., Oancea S., and Grosu I. Collection of master-slave synchronized chaotic systems. Chaos Soliton Fract 22 (2004) 599-604
22. Park J.H. Chaos synchronization of a chaotic system via nonlinear control. Chaos Soliton Fract 25 (2005) 579-584
23. Sun J., and Zhang Y. Some simple global synchronization criterions for coupled time-varying chaotic systems. Chaos Soliton Fract 19 (2004) 93-98
24. Haeri M., and Khademian B. Comparisons between different synchronization methods of identical chaotic systems. Chaos Soliton Fract 29 (2006) 1002-1022
25. Chen H.-H. Global synchronization of chaotic systems via linear balanced feedback control. Appl Math Comput 186 (2007) 923-931
26. Fortuna L., Frasca M., and Rizzo A. Experimental pulse synchronization of two chaotic circuits. Chaos Soliton Fract 17 (2003) 335-361
27. Grassi G., and Mascolo S. Nonlinear observer design to synchronize hyperchaotic systems via a scalar signal. IEEE Trans Circuits Syst-I: Fundam Theory Appl 44 (1997) 1011-1014
28. Kilic R. Experimental Study on impulsive synchronization between two modified Chua's circuits. Nonlinear Anal: Real World Appl 7 (2006) 1298-1303
29. Pecora L.M., and Carroll T.L. Synchronization in chaotic system. Phys Rev Lett 64 (1990) 821-824
30. Kocarev U., and Parlitz L. General approach for chaotic synchronization with applications to communication. Phys Rev Lett 74 (1995) 5028-5031
31. Andrievsky B. Adaptive synchronization methods for signal transmission on chaotic carrier. Math Comput Simulat 58 (2002) 285-293
32. Liao T.-L., and Huang N.-S. Dead-beat chaos synchronization and its applications to image communications. IEICE Trans Fundam E82-A (1999) 1669-1673
33. Parlitz U., and Ergezinger S. Robust communication based on chaotic spreading sequences. Phys Lett A 188 (1994) 146-150
34. Albuquerque H.A., Rubinger R.M., and Rech P.C. Theoretical and experimental time series analysis of an inductorless Chua's circuit. Physica D 233 (2007) 66-72
35. Posadas-Castillo C., Cruz-Hernandez C., and Lopez-Gutierrez R. Experimental realization of synchronization in complex networks with Chua's circuits like nodes. Chaos Soliton Fract 40 (2009) 1963-2197
36. Torres L., and Aguirre L. Inductorless Chua's circuit. Electron Lett 36 (2000) 1915-1916
37. Torres L., and Aguirre L. Transmitting information by controlling nonlinear oscillators. Physica D 196 (2004) 387-406
38. Hatano Y., and Mesbahi M. Agreement over random networks. IEEE Trans Automat Contr 50 (2005) 1867-1872
39. Porfiri M., and Stilwell D.J. Consensus seeking over random weighted directed graphs. IEEE Trans Automat Contr 52 (2007) 1767-1773
40. Amritkar R., and Hu C. Synchronized state of coupled dynamics on time-varying networks. Chaos 16 (2006) 015117
41. Belykh I.V., Belykh V.N., and Hasler M. Blinking model and synchronization in small-world networks with a time-varying coupling. Physica D 195 (2004) 188-206
42. Chen L., Qiu C., and Huang H.B. Synchronization with on-off coupling: role of time scales in network dynamics. Phys Rev E (Stat Nonlinear Soft Matter Phys) 79 (2009) 045101
43. Porfiri M., and Fiorilli F. Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments. Chaos Soliton Fract 41 (2009) 245-262
44. Porfiri M., and Fiorilli F. Node-to-node pinning control of complex networks. Chaos 19 (2009) 013122
45. Porfiri M., and Pigliacampo R. Master-slave global stochastic synchronization of chaotic oscillators. SIAM J Appl Dyn Syst 7 (2008) 825-842
46. Porfiri M., Stilwell D.J., and Bollt E.M. Synchronization in random weighted directed networks. IEEE Trans Circuits Syst I 55 (2008) 3170-3177
47. Porfiri M., Stilwell D.J., Bollt E.M., and Skufca J.D. Random talk: random walk and synchronizability in a moving neighborhood network. Physica D 224 (2006) 102-113
48. Stilwell D.J., Bollt E.M., and Roberson D.G. Sufficient conditions for fast switching synchronization in time varying network topologies. SIAM J Appl Dyn Syst 5 (2006) 140-156
49. Arcak M., and Nesic D. A framework for nonlinear sampled-data observer design via approximate discrete-time models and emulation. Automatica 40 (2004) 1931-1938
50. Boyd S, El-Ghaoui L, Feron E, Balakrishnan V. Linear matrix inequalities in system and control theory. Philadelphia, PA; 1994.
51. Peitgen H., Jurgens H., and Saupe D. Chaos and fractals (1992), Springer-Verlag, New York, NY
52. Lee S.-H., Li Y.-F., and Kapila V. Development of a Matlab-based graphical user interface for pic microcontroller projects. Comput Educ J XV (2005) 41-56
53. Panda A., Wong H., Kapila V., and Lee S.-H. Two-tank liquid level control using a basic stamp microcontroller and a Matlab-based data acquisition and control toolbox. Comput Educ J XVII (2007) 32-46
54. Website of Parallax, Inc. http://www.parallax.com/detail.asp?product_id=32100 (access link for Propeller Demo Board).
55. Website of Parallax, Inc. http://www.parallax.com/detail.asp?product_id=27985 (access link for 912 MHz RF Transceiver).