Diagnostics of the generalized synchronization in microwave generators of chaos

Physics of Wave Phenomena

Volumn 18, Issue 1, 2010, Pages 51-56

  Starodubov, A V ^a   Koronovskii, A A ^a   Khramov, A E ^a   Zharkov, Yu D ^a   Dmitriev, B S ^a   Skorokhodov, V N ^a  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77951804768     PISSN: 1541308X     EISSN: 1934807X     Source Type: Journal    
DOI: 10.3103/S1541308X10010097     Document Type: Article

References (31)

1. H. Fujisaka and T. Yamada, "Stability Theory of Synchronized Motion in Coupled-Oscillator System," Prog. Theor. Phys. 69, 32 (1983).
2. A. S. Pikovskii, Preprint No. 79 "Interaction Between Strange Atttactors," IPF AN SSSR (Inst. Appl. Phys., Gorkii, 1983) [in Russian].
3. L. M. Pecora and T. L. Carroll, "Synchronization in Chaotic Systems," Phys. Rev. Lett. 64(8), 821 (1990).
4. L. M. Pecora and T. L. Carroll, "Driving Systems with Chaotic Signals," Phys. Rev. A. 44(4), 2374 (1991).
5. M. G. Rosenblum, A. S. Pikovsky, and J. Kurths, "From Phase to Lag Synchronization in Coupled Chaotic Oscillators," Phys. Rev. Lett. 78(22), 4193 (1997).
6. S. Taherion and Y. C. Lai, "Observability of Lag Synchronization of Coupled Chaotic Oscillators," Phys. Rev. E. 59(6), R6247 (1999).
7. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. Abarbanel, "Generalized Synchronization of Chaos in Directionally Coupled Chaotic Systems," Phys. Rev. E. 51(2), 980 (1995).
8. L. Kocarev and U. Parlitz, "Generalized Synchronization, Predictability and Equivalence of Unidirectionally Coupled Dynamical Systems," Phys. Rev. Lett. 76(11), 1816 (1996).
9. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: a Universal Concept in Nonlinear Sciences (Cambridge Univ. Press, Cambridge, 2001).
10. V. S. Anishchenko, V. Astakhov, A. Neiman, T. E. Vadivasova, and L. Schimansky-Geier, Stochastic Resonance: Noise-Enhanced Phase Coherence. Nonlinear Dynamics of Chaotic and Stochastic Systems. Tutorial and Modern Developments (Springer-Verlag, Heidelberg, 2001).
11. A. E. Hramov, A. A. Koronovskii, and M. K. Kurovskaya, "Two Types of Phase Synchronization Destruction," Phys. Rev. E. 75(3), 036205 (2007).
12. A. E. Hramov and A. A. Koronovskii, "An Approach to Chaotic Synchronization," Chaos. 14(3), 603 (2004).
13. A. E. Hramov and A. A. Koronovskii, "Time Scale Synchronization of Chaotic Oscillators," Physica D. 206(3-4), 252 (2005).
14. V. S. Anishchenko, T. E. Vadivasova, D. E. Postnov, and M. A. Safonova, "Forced and Mutual Synchronization of Chaos," Radioeng. Electron. 36, 338 (1991).
15. V. S. Anishchenko, T. E. Vadivasova, D. E. Postnov, and M. A. Safonova, "Synchronization of Chaos," Int. J. Bifurcation and Chaos. 2(3), 633 (1992).
16. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and O. I. Moskalenko, "Synchronization of Spectral Components and Its Regularities in Chaotic Dynamical Systems," Phys. Rev. E. 71(5), 056204 (2005).
17. P. S. Landa, "On the Problem of Partial Synchronization," Izv. VUZov, Prikladnaya Nelineynaya Dinamika. 12(4), 48 (2004).
18. A. E. Hramov, A. A. Koronovskii, and P. V. Popov, "Generalized Synchronization in Coupled Ginzburg-Landau Equations and Mechanisms of Its Arising," Phys. Rev. E. 72(3), 037201 (2005).
19. A. E. Hramov and A. A. Koronovskii, "Generalized Synchronization: a Modified System Approach," Phys. Rev. E. 71(6), 067201 (2005).
20. Z. Zheng and G. Hu, "Generalized Synchronization Versus Phase Synchronization," Phys. Rev. E. 62(6), 7882 (2000).
21. R. A. Filatov, A. E. Hramov, and A. A. Koronovskii, "Chaotic Synchronization in Coupled Spatially Extended Beam-Plasma Systems," Phys. Lett. A. 358, 301 (2006).
22. B. S. Dmitriev, A. E. Hramov, A. A. Koronovskii, A. V. Starodubov, D. I. Trubetskov, and Ju. D. Garkov, "First Experimental Observation of Generalized Synchronization Phenomena in Microwave Oscillators," Phys. Rev. Lett. 102, 074101 (2009).
23. A. A. Koronovskij, O. I. Moskalenko, and A. E. Khramov, RF Patent No. 2349044 "Method of Hidden Information Transfer," Byull. Izobret. No. 7 (2009).
24. A. S. Dmitriev and A. I. Panas, Dynamical Chaos: New Type of Information Carrier for Communication Sistems (Fizmatlit, Moscow, 2002) [in Russian].
25. V. I. Kalinin and V. V. Chapurskii, "Ultrawideband Noise Radar Based on Antenna Arrays with Signal Recirculation," J. Commun. Technol. Electron. 53(10), 1195 (2008).
26. K. Pyragas, "Weak and Strong Synchronization of Chaos," Phys. Rev. E. 54(5), R4508 (1996).
27. A. V. Shabunin, S. M. Nikolaev, and V. V. Astakhov, "Two-Parametric Bifurcational Analysis of Formation and Destruction of Regimes of Partial Synchronization of Chaos in Ensemble of Three Discrete-Time Oscillators," Izv. VUZov, Prikladnaya Nelineynaya Dinamika. 13(5-6), 40 (2005).
28. H. D. Abarbanel, N. F. Rulkov, and M. M. Sushchik, "Generalized Synchronization of Chaos: the Auxiliary System Approach," Phys. Rev. E. 53(5), 4528 (1996).
29. U. Parlitz, L. Junge, and W. Lauterborn, "Experimental Observation of Phase Synchronization," Phys. Rev. E. 54(2), 2115 (1996).
30. A. A. Koronovskii, A. V. Starodubov, and A. E. Khramov, "A Method for Determining the Transient Process Duration in Dynamic Systems in the Regime of Chaotic Oscillation," Tech. Phys. Lett. 29(4), 323 (2003).
31. M. Dhamala, Y. C. Lai, and E. J. Kostelich, "Detecting Unstable Periodic Orbits from Transient Chaotic Time Series," Phys. Rev. E. 64, 056207 (2001).