Experimental measurement of the degree of chaotic synchronization using a distribution exponent

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 57, Issue 5, 1998, Pages 5448-5466

  Khoury, P ^a   Lieberman, M A ^a   Lichtenberg, A J ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; LYAPUNOV METHODS; MATHEMATICAL MODELS; PHASE LOCKED LOOPS; PROBABILITY; RANDOM PROCESSES; SPURIOUS SIGNAL NOISE; SYNCHRONIZATION;

CHAOTIC SYNCHRONIZATION; DIGITAL PHASE LOCKED LOOPS; DISTRIBUTION EXPONENT; LYAPUNOV EXPONENT;

CHAOS THEORY;

EID: 0032072489     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.57.5448     Document Type: Article

References (24)

1. L. M. Pecora and T. L. Carroll, Phys. Rev. Lett. 64, 821 (1990).PRLTAO
2. L. M. Pecora and T. L. Carroll, Phys. Rev. A 44, 2374 (1991).PLRAAN
3. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 51, 980 (1995).PLEEE8
4. H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E 53, 4528 (1996).PLEEE8
5. C. M. Kim, Phys. Rev. E 56, 3697 (1997).PLEEE8
6. T. L. Carroll, J. F. Heagy, and L. M. Pecora, Phys. Rev. E 54, 4676 (1996).PLEEE8
7. T. Ushio, T. Innami, and S. Kodama, IEICE Trans. Fundam. Electron. Commun. Comput. Sci. 79, 1689 (1996).IFESEX
8. V. Milanovic and M. E. Zaghloul, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 2571 (1996).IJBEE4
9. D. Y. Tang, R. Dykstra, and N. R. Heckenberg, Phys. Rev. A 54, 5317 (1996).PLRAAN
10. M. de Sousa Vieira, A. J. Lichtenberg, and M. A. Lieberman, Int. J. Bifurcation Chaos Appl. Sci. Eng. 1, 1 (1991).IJBEE4
11. M. de Sousa Vieira, Int. J. Bifurcation Chaos Appl. Sci. Eng. 2, 645 (1992).IJBEE4
12. T. Yang and L. O. Chua, Int. J. Bifurcation Chaos Appl. Sci. Eng. 6, 2653 (1996).IJBEE4
13. L. Rahman, G. Li, and F. Tian, Opt. Commun. 138, 91 (1997).OPCOB8
14. V. Annovazzi-Lodi, S. Donati, and A. Scire, IEEE J. Quantum Electron. 33, 1449 (1997).IEJQA7
15. P. Khoury, M. A. Lieberman, and A. J. Lichtenberg, Phys. Rev. E 54, 3377 (1996).PLEEE8
16. A. Wolf, J. B. Swift, H. L. Swinney, and J. A. Vastano, Physica D 16, 285 (1985).PDNPDT
17. A. S. Pikovsky, Phys. Lett. A 165, 33 (1992).PYLAAG
18. Y. Kuramoto and H. Nakao, Phys. Rev. Lett. 78, 4039 (1997).PRLTAO
19. G. M. Bernstein and M. A. Lieberman, IEEE Trans. Circuits Syst. 37, 1164 (1990).ICSYBT
20. G. M. Bernstein, M. A. Lieberman, and A. J. Lichtenberg, IEEE Trans. Commun. 37, 1062 (1989).IECMBT
21. G. M. Bernstein, Ph.D. dissertation, University of California, Berkeley, CA, 1988 (unpublished).
22. A. Leon-Garcia, Probability and Random Processes for Electrical Engineering (Addison-Wesley, Reading, MA, 1989).
23. D. T. Gillespie, Markov Processes: and Introduction for Physical Scientists (Academic, Boston, MA, 1992).
24. L. M. Pecora, T. Carroll, and J. Heagy, Phys. Rev. E 52, 3420 (1995). PLEEE8