Resonant Hopf triads in a delayed optical pattern-forming system

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

Volumn 56, Issue 4, 1997, Pages 3803-3808

  Logvin, Yu A ^a   Loiko, N A ^a  

^a B I STEPANOV INSTITUTE OF PHYSICS   (Belarus)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DEGREES OF FREEDOM (MECHANICS); DIFFRACTION; ENERGY DISSIPATION; LIGHT PROPAGATION; LIGHT TRANSMISSION; MATHEMATICAL MODELS;

DELAYED OPTICAL PATTERN FORMING; HOPF TRIADS; LINEAR STABILITY ANALYSIS; PHASE MATCHING; TALBOT EFFECT;

NONLINEAR OPTICS;

EID: 0031247552     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.3803     Document Type: Article

References (32)

1. V N. Tsytovich, Nonlinear Effects in Plasma (Plenum Press, New York, 1970).
2. B. B. Kadomtsev, Collective Phenomena in Plasma (Nauka, Moscow, 1976) (in Russian).
3. O M. Phillips, The Dynamics of the Upper Ocean, 2nd ed. (Cambridge University Press, Cambridge, England, 1977).
4. A. D. D. Craik, Wave Interactions and Fluids Flows (Cambridge University Press, Cambridge, England, 1985).
5. V. S. L’vov, Wave Turbulence Under Parametric Excitation (Springer, Berlin, 1994).
6. F.-J. Elmer, Phys. Rev. B53, 14 323 (1996).PRBMDO
7. Y R. Shen, The Principles of Nonlinear Optics (Wiley, New York, 1984).
8. M C. Cross and P C. Hohenberg, Rev. Mod. Phys.65, 851 (1993).RMPHAT
9. D. Lima, A. De Wit, G. Dewel, and P. Borckmans, Phys. Rev. E53, R1305 (1996).PLEEE8
10. Yu. A. Logvin, B A. Samson, A. A. Afanas’ev, A M. Samson, and N A. Loiko, Phys. Rev. E54, R4548 (1996).PLEEE8
11. A. De Wit, D. Lima, G. Dewel, and P. Borckmans, Phys. Rev. E54, 261 (1996).PLEEE8
12. N A. Loiko, Yu. A. Logvin, and A M. Samson, Opt. Commun.124, 383 (1996).OPCOB8
13. K. Ikeda, K. Kondo, and O. Akimoto, Phys. Rev. Lett.49, 1467 (1982).PRLTAO
14. K. Ikeda and K. Matsumoto, Physica D29, 223 (1987).PDNPDT
15. E V. Grigorieva, S A. Kashchenko, N A. Loiko, and A M. Samson, Physica D59, 297 (1992).PDNPDT
16. W J. Firth, J. Mod. Opt.37, 151 (1990)
17. G. D’Alessandro and W J. Firth, Phys. Rev. A46, 537 (1992).PLRAAN
18. D. Leduc, M. Le Berre, E. Ressayre, and A. Tallet, Phys. Rev. A53, 1072 (1996)
19. M. Le Berre, D. Leduc, E. Ressayre, and A. Tallet, 54, 3428 (1996).
20. E V. Degtiarev and M A. Vorontsov, J. Mod. Opt.43, 93 (1996).JMOPEW
21. E. Pampaloni, S. Residori, S. Soria, and F T. Arecchi, Phys. Rev. Lett.78, 1042 (1997).PRLTAO
22. K. Patorski, The Self-imaging Phenomenon and Its Applications, Progress in Optics. Vol. XXVII, edited by E. Wolf (North-Holland, Amsterdam, 1989), p. 3.
23. M J. Benedikt and E D. Trifonov, Phys. Rev. A38, 2854 (1988).PLRAAN
24. Yu. A. Logvin and A M. Samson, Opt. Commun.96, 107 (1993).OPCOB8
25. L. Allen and J H. Eberly, Optical Resonance and Two-Level Atoms (Wiley, New York, 1975).
26. A. A. Afanas’ev, Yu. A. Logvin, A M. Samson, and B A. Samson, Opt. Commun.115, 559 (1995).OPCOB8
27. R. Martin, A J. Scroggie, G.-L. Oppo, and W J. Firth, Phys. Rev. Lett.77, 4007 (1996).PRLTAO
28. S. Ciliberto, P. Coullet, J. Lega, E. Pampaloni, and C. Perez-Garcia, Phys. Rev. Lett.65, 2370 (1990).PRLTAO
29. A. Petrossian, L. Dambly, and G. Grynberg, Europhys. Lett.29, 209 (1995).EULEEJ
30. T. Ackemann, J. Seipenbusch, B. Berge, B. Schäpers, Yu.A. Logvin, and W. Lange, Quantum Electronics and Laser Science Conference, Baltimore, Maryland, May 1997, OSA Techn. Digest Series, Vol. 12, pp. 111–112.
31. P L. Ramazza, P. Bigazzi, E. Pampaloni, S. Residori, and F T. Arecchi, Phys. Rev. E52, 5524 (1995); PLEEE8
32. P L. Ramazza, S. Boccaletti, A. Giaguinta, E. Pampaloni, S. Soria, and F T. Arecchi, Phys. Rev. A54, 3472 (1996).