Nonlinearly driven transverse synchronization in coupled chaotic systems

Physica D: Nonlinear Phenomena

Volumn 208, Issue 3-4, 2005, Pages 191-208

  Cencini, Massimo ^a,b   Torcini, Alessandro ^c  

^a ISC CNR   (Italy)

^b SAPIENZA UNIVERSITY OF ROME   (Italy)

^c ISTITUTO NAZIONALE DI OTTICA   (Italy)

Author keywords

Coupled chaotic systems; Coupled map lattices; Linear and nonlinear instabilities; Synchronization

Indexed keywords

ASYMPTOTIC STABILITY; LATTICE CONSTANTS; LYAPUNOV METHODS; MAPS; MATHEMATICAL MODELS; PHASE TRANSITIONS; SYNCHRONIZATION;

COUPLED CHAOTIC SYSTEMS; COUPLED MAP LATTICES; LINEAR AND NONLINEAR INSTABILITIES;

CHAOS THEORY;

EID: 23144457844     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physd.2005.06.017     Document Type: Article

References (42)

1. D. He, and L. Stone Proc. R. Soc. Lond. B Biol. Sci. 270 2003 1519
2. P.N. Steinmetz, A. Roy, P.J. Fitzgerald, S.S. Hsiao, K.O. Johnson, and E. Niebur Nature 404 2000 187
3. A. Pikovsky, M. Rosenblum, and J. Kurths Synchronization A Universal Concept in Nonlinear Sciences 2001 Cambridge University Press
4. L.M. Pecora, and T.L. Carroll Phys. Rev. Lett. 64 1990 821
5. S.P. Kuznetsov, and A.S. Pikovsky Radiophys. Quantum. Electron. 32 1989 49
6. A.S. Pikovsky, and P. Grassberger J. Phys. A: Math. Gen. 24 1991 4587
7. W. Just Physica D 81 1995 317
8. L. Baroni, R. Livi, and A. Torcini Phys. Rev. E 63 2001 036226
9. V. Ahlers, and A.S. Pikovsky Phys. Rev. Lett. 88 2002 254101
10. C. Anteneodo, S.E. de, S. Pinto, A.M. Batista, and R.L. Viana Phys. Rev. E 68 2003 045202(R)
11. C. Anteneodo, A.M. Batista, and R.L. Viana Phys. Lett. A 326 2004 227
12. M. Dharmala, V.K. Jirsa, and M. Ding Phys. Rev. Lett. 92 2004 028101
13. K. Wiesenfeld, P. Colet, and S.H. Strogatz Phys. Rev. Lett. 76 1996 404
14. C. Peskin, Mathematical Aspects of Heart Physiology, Courant Institute of Mathematical Sciences, New York University, New York, 1975.
15. G. Paladin, and A. Vulpiani J. Phys. A 25 1994 4911
16. A. Torcini, and S. Lepri Phys. Rev. E 55 1997 3805
17. K. Kaneko Physica D 34 1989 1
18. I. Waller, and R. Kapral Phys. Rev. A 30 1984 2047
19. K. Kaneko Prog. Theor. Phys. 72 1984 980
20. V. Ahlers, Scaling and synchronization in deterministic and stochastic nonlinear dynamical systems, Ph.D. Thesis, Potsdam, 2001.
21. F. Ginelli Phys. Rev. E 68 2003 065102(R)
22. M.A. Munõz, and R. Pastor-Satorras Phys. Rev. Lett. 90 2003 204101
23. M.A. Munõz, and E. Korutcheva Advances in Condensed Matter and Statistical Mechanics 2004 Nova Science Publishers New York
24. H. Hinrichsen Adv. Phys. 49 2000 815
25. E. Aurell, G. Boffetta, A. Crisanti, G. Paladin, and A. Vulpiani Phys. Rev. Lett. 77 1996 1262
26. G. Boffetta, M. Cencini, M. Falcioni, and A. Vulpiani Phys. Rep. 356 2002 367
27. M. Cencini, and A. Torcini Phys. Rev. E 63 2001 056201
28. W. Feller An Introduction to Probability Theory and its Applications 1974 Wiley New York
29. H.C. Tuckwell Introduction to Theoretical Neurobiology: vol. 2 - Nonlinear and Stochastic Theories 1988 Cambridge University Press Cambridge
30. F. Ginelli, H. Hinrichsen, R. Livi, D. Mukamel, and A. Politi Phys. Rev. E 71 2005 026121
31. A. Politi, R. Livi, G.L. Oppo, and R. Kapral Europhys. Lett. 22 1993 571
32. A. Torcini, P. Grassberger, and A. Politi J. Phys. A27 1995 4533
33. A. Politi, and A. Torcini Europhys. Lett. 28 1994 545
34. G. Paladin, and A. Vulpiani Phys. Rep. 156 1987 147
35. H. Jeffreys, and B.S. Jeffreys Methods of Mathematical Physics 1988 Cambridge University Press Cambridge, England pp. 470-472
36. F. Ginelli, R. Livi, and A. Politi J. Phys. A: Math. Gen. 35 2002 499
37. A. Lipowski, and M. Droz Physica A 347 2005 38
38. R. Wackerbauer, and K. Showalter Phys. Rev. Lett. 91 2003 174103
39. A. Zumdieck, M. Timme, T. Geisel, and F. Wolf Phys. Rev. Lett. 93 2004 244103
40. F. Ginelli, R. Livi, A. Politi, and A. Torcini Phys. Rev. E 67 2003 046217
41. H. Hinrichsen, and M. Howard Eur. Phys. J. B 7 1999 635
42. F. Tamarit, and C. Anteneodo Phys. Rev. Lett. 84 2000 208