Generalized synchronization in mutually coupled oscillators and complex networks

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 86, Issue 3, 2012, Pages

  Moskalenko, Olga I ^a,b   Koronovskii, Alexey A ^a,b   Hramov, Alexander E ^a,b   Boccaletti, Stefano ^c  

^a SARATOV STATE UNIVERSITY   (Russian Federation)

^b SARATOV STATE TECHNICAL UNIVERSITY   (Russian Federation)

^c ISTITUTO DEI SISTEMI COMPLESSI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

COMPLEX NETWORKS; COMPLEX TOPOLOGY; COUPLED OSCILLATORS; COUPLED SYSTEMS; COUPLING PARAMETERS; GENERALIZED SYNCHRONIZATION; LYAPUNOV EXPONENT; NEAREST NEIGHBOR METHOD; NETWORKING SYSTEMS;

LYAPUNOV METHODS;

SYNCHRONIZATION;

EID: 84867031410     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.86.036216     Document Type: Article

References (34)

1. S. Boccaletti, J. Kurths, G. V. Osipov, D. L. Valladares, and C. S. Zhou, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(02)00137-0 366, 1 (2002).
2. H. D. I. Abarbanel, N. F. Rulkov, and M. M. Sushchik, Phys. Rev. E 1539-3755 10.1103/PhysRevE.53.4528 53, 4528 (1996).
3. A. E. Hramov and A. A. Koronovskii, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.71.067201 71, 067201 (2005). (Pubitemid 41663918)
4. L. Kocarev and U. Parlitz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.76.1816 76, 1816 (1996).
5. Z. Zheng and G. Hu, Phys. Rev. E 1539-3755 10.1103/PhysRevE.62.7882 62, 7882 (2000). (Pubitemid 32088016)
6. A. E. Hramov, A. A. Koronovskii, and P. V. Popov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.72.037201 72, 037201 (2005). (Pubitemid 41778245)
7. N. F. Rulkov, Chaos CHAOEH 1054-1500 10.1063/1.166174 6, 262 (1996). (Pubitemid 126130978)
8. E. A. Rogers, R. Kalra, R. D. Schroll, A. Uchida, D. P. Lathrop, and R. Roy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.084101 93, 084101 (2004).
9. B. S. Dmitriev, A. E. Hramov, A. A. Koronovskii, A. V. Starodubov, D. I. Trubetskov, and Y. D. Zharkov, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.074101 102, 074101 (2009).
10. A. E. Hramov, A. A. Koronovskii, and P. V. Popov, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.77.036215 77, 036215 (2008). (Pubitemid 351465364)
11. J. Terry and G. VanWiggeren, Chaos Solitons Fractals CSFOEH 0960-0779 10.1016/S0960-0779(00)00038-2 12, 145 (2001).
12. A. A. Koronovskii, O. I. Moskalenko, and A. E. Hramov, Phys. Usp. PHUSEY 1063-7869 10.3367/UFNe.0179.200912c.1281 52, 1213 (2009).
13. O. I. Moskalenko, A. A. Koronovskii, and A. E. Hramov, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2010.05.024 374, 2925 (2010).
14. N. F. Rulkov, M. M. Sushchik, L. S. Tsimring, and H. D. I. Abarbanel, Phys. Rev. E 1539-3755 10.1103/PhysRevE.51.980 51, 980 (1995).
15. L. M. Pecora and T. L. Carroll, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.2374 44, 2374 (1991).
16. K. Pyragas, Phys. Rev. E 1539-3755 10.1103/PhysRevE.56.5183 56, 5183 (1997).
17. K. Pyragas, Phys. Rev. E 1539-3755 10.1103/PhysRevE.54.R4508 54, R4508 (1996).
18. Encyclopaedia of Mathematics (Springer, Berlin, 2002).
19. U. Parlitz, L. Junge, W. Lauterborn, and L. Kocarev, Phys. Rev. E 1539-3755 10.1103/PhysRevE.54.2115 54, 2115 (1996).
20. A. E. Hramov, A. A. Koronovskii, and O. I. Moskalenko, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10343-4 72, 901 (2005). (Pubitemid 41807843)
21. A. E. Hramov, A. A. Koronovskii, and M. K. Kurovskaya, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.75.036205 75, 036205 (2007). (Pubitemid 46410989)
22. A. E. Hramov, A. A. Koronovskii, and M. K. Kurovskaya, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.78.036212 78, 036212 (2008).
23. B. B. Godfrey, Phys. Fluids PFLDAS 1070-6631 10.1063/1.866217 30, 1553 (1987).
24. H. Matsumoto, H. Yokoyama, and D. Summers, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.871844 3, 177 (1996).
25. D. I. Trubetskov and A. E. Hramov, Lectures on Microwave Electronics for Physicists, Vols. 1 and 2 (Fizmatlit, Moscow, 2003).
26. R. A. Filatov, A. E. Hramov, and A. A. Koronovskii, Phys. Lett. A PYLAAG 0375-9601 10.1016/j.physleta.2006.05.039 358, 301 (2006). (Pubitemid 44308681)
27. A. E. Filatova, A. E. Hramov, A. A. Koronovskii, and S. Boccaletti, Chaos 1054-1500 10.1063/1.2940685 18, 023133 (2008).
28. P. J. Rouch, Computational Fluid Dynamics (Hermosa Publishers, Albuquerque, 1976).
29. A. E. Hramov, A. A. Koronovskii, V. A. Maksimenko, and O. I. Moskalenko, Phys. Plasmas PHPAEN 1070-664X 10.1063/1.4740063 19, 082302 (2012).
30. S. Boccaletti and D. L. Valladares, Phys. Rev. E 1539-3755 10.1103/PhysRevE.62.7497 62, 7497 (2000). (Pubitemid 32033238)
31. M. Zhan, G. W. Wei, and C. H. Lai, Phys. Rev. E 1539-3755 10.1103/PhysRevE.65.036202 65, 036202 (2002). (Pubitemid 40619239)
32. S. Boccaletti, E. Allaria, R. Meucci, and F. T. Arecchi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.194101 89, 194101 (2002).
33. A. E. Hramov, A. A. Koronovskii, M. K. Kurovskaya, and S. Boccaletti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.114101 97, 114101 (2006). (Pubitemid 44396703)
34. A. E. Hramov and A. A. Koronovskii, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10488-6 70, 169 (2005). (Pubitemid 40551290)