Noise-induced instability: An approach based on higher-order moments

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

Volumn 71, Issue 3, 2005, Pages

  Dutta, Sumana ^a   Riaz, Syed Shahed ^a   Ray, Deb Shankar ^a  

^a DEPARTMENT OF MATERIALS SCIENCE   (India)

Author keywords

[No Author keywords available]

Indexed keywords

ADDITIVE NOISE; NOISE-INDUCED INSTABILITY; REACTION-DIFFUSION SYSTEMS; STOCHASTIC VOLTAGE FLUCTUATIONS;

COMPUTER SIMULATION; DIFFUSION; DYNAMICS; LIQUID CRYSTALS; PERTURBATION TECHNIQUES; THEOREM PROVING;

ACOUSTIC NOISE;

EID: 41349090972     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.036216     Document Type: Article

References (23)

1. B. Lindner, J. García-Ojalvo, A. Neiman, and L. Schimansky-Geier, Phys. Rep. 392, 321 (2004).
2. I. Sendiña-Nadal, S. Alonso, V. Pérez-Muñuzuri, M. Gómez-Gesteira, V. Pérez-Villar, L. Ramirez-Piscina, J. Casademunt, J. M. Sancho, and F. Sagués, Phys. Rev. Lett. 84, 2734 (2000).
3. J. García-Ojalvo, and J. M. Sancho, Noise in Spatially Extended Systems (Springer-Verlag, New York, 1999).
4. H. Zhonghuai, Y. Lingfa, X. Zuo, and X. Houwen, Phys. Rev. Lett. 81, 2854 (1998).
5. F. Lesmes, D. Hochberg, F. Morán, and J. Pérez-Mercader, Phys. Rev. Lett. 91, 238301 (2003).
6. G. Ahlers, Physica D 51, 421 (1991).
7. T. Taneike, T. Nihei, and Y. Shiwa, Phys. Lett. A 303, 212 (2002).
8. J. García-Ojalvo, A. Hernández-Machado, and J. M. Sancho, Phys. Rev. Lett. 71, 1542 (1993).
9. J. M. Sancho, M. San Miguel, S. L. Katz, and J. D. Gunton, Phys. Rev. A 26, 1589 (1982).
10. A. Becker and L. Kramer, Phys. Rev. Lett. 73, 955 (1994).
11. C. Van den Broeck, J. M. R. Parrondo, J. Armero, and A. Hernández-Machado, Phys. Rev. E 49, 2639 (1994).
12. P. S. Landa, A. A. Zaikin, and L. Schimansky-Geier, Chaos, Solitons Fractals 9, 1367 (1998).
13. A. Zaikin and J. Kurths, Chaos 11, 570 (2001).
14. E. A. Novikov, Sov. Phys. JETP 20, 1290 (1965).
15. N. G. Van Kampen, Phys. Rep. 24, 171 (1976).
16. R. A. Barrio, C. Varea, J. L. Aragón, and P. K. Maini, Bull. Math. Biol. 61, 483 (1999).
17. A. Hanna, A. Saul, K. Showalter, J. Am. Chem. Soc. 104, 3838 (1982).
18. Stephen K. Scott, Oscillations, Waves, and Chaos in Chemical Kinetics (Oxford University Press, New York, 1994).
19. I. R. Epstein and J. A. Pojman, An Introduction to Nonlinear Chemical Dynamics (Oxford University Press, New York, 1998).
20. J. B. Swift and P. C. Hohenberg, Phys. Rev. A 15, 319 (1977).
21. K. R. Elder, J. Viñals, and M. Grant, Phys. Rev. Lett. 68, 3024 (1992).
22. P. C. Hohenberg and J. B. Swift, Phys. Rev. A 46, 4773 (1992).
23. A. A. Zaikin and L. Schimansky-Geier, Phys. Rev. E 58, 4355 (1998).