Resonant emergence of global and local spatiotemporal order in a nonlinear field model

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

Volumn 68, Issue 6 2, 2003, Pages 652031-652034

  Gleiser, Marcelo ^a   Howell, Rafael C ^a  

^a DARTMOUTH COLLEGE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; EQUATIONS OF MOTION; FERROMAGNETIC MATERIALS; KINETIC ENERGY; PHASE EQUILIBRIA; PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; SPECTRUM ANALYSIS; THERMAL NOISE; THERMODYNAMIC STABILITY;

NONLINEAR FIELD MODEL; OSCILLONS; RESONANT EMERGENCE; SPATIOTEMPORAL ORDER;

NONLINEAR SYSTEMS;

EID: 1442306086     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (23)

1. D. Walgraef, Spatio-Temporal Pattern Formation (Springer, New York, 1997).
2. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
3. N.M. Shnerb, Y. Louzoun, E. Bettelheim, and S. Solomon, Proc. Natl. Acad. Sci. U.S.A. 97, 10 322 (2000).
4. R. Rajamaran, Solitons and Instantons (North-Holland, Amsterdam, 1987); T.D. Lee and Y. Pang, Phys. Rep. 221, 251 (1992).
5. R. Rajamaran, Solitons and Instantons (North-Holland, Amsterdam, 1987); T.D. Lee and Y. Pang, Phys. Rep. 221, 251 (1992).
6. M. Gleiser, Phys. Rev. D 49, 2978 (1994); E.J. Copeland, M. Gleiser, and H.-R. Muller, ibid. 52, 1920 (1995).
7. M. Gleiser, Phys. Rev. D 49, 2978 (1994); E.J. Copeland, M. Gleiser, and H.-R. Muller, ibid. 52, 1920 (1995).
8. D. Bettison and G. Rowlands, Phys. Rev. E 55, 5427 (1997); C. Crawford and H. Riecke, ibid. 65, 066307 (2002).
9. D. Bettison and G. Rowlands, Phys. Rev. E 55, 5427 (1997); C. Crawford and H. Riecke, ibid. 65, 066307 (2002).
10. P. Umbanhowar, F. Melo, and H. Swinney, Nature (London) 382, 793 (1996); L.S. Tsimring and l.S. Aranson, Phys. Rev. Lett. 79, 213 (1997); S.-O. Jeong and H.-T. Moon, Phys. Rev. E 59, 850 (1999).
11. P. Umbanhowar, F. Melo, and H. Swinney, Nature (London) 382, 793 (1996); L.S. Tsimring and I.S. Aranson, Phys. Rev. Lett. 79, 213 (1997); S.-O. Jeong and H.-T. Moon, Phys. Rev. E 59, 850 (1999).
12. P. Umbanhowar, F. Melo, and H. Swinney, Nature (London) 382, 793 (1996); L.S. Tsimring and l.S. Aranson, Phys. Rev. Lett. 79, 213 (1997); S.-O. Jeong and H.-T. Moon, Phys. Rev. E 59, 850 (1999).
13. O.M. Umurhan, L. Tao, and E.A. Spiegel, Ann. N.Y. Acad. Sci. 867, 298 (1998).
14. M. Gleiser and A. Sornborger, Phys. Rev. E 62, 1368 (2000).
15. E. Honda and M. Choptuik, Phys. Rev. D 65, 084037 (2002).
16. A. Adib, M. Gleiser, and C. Almeida, Phys. Rev. D 66, 085011 (2002).
17. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in C (Cambridge University Press, Cambridge, UK, 1992).
18. L. Kofman, A. Linde, and A. Starobinsky, Phys. Rev. D 56, 3258 (1997); D. Boyanovsky, H.J. de Vega, and R. Holman, in Proceedings of the Fifth Erice Chalonge School on Astrofundamental Physics, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1997); G. Felder and L. Kofman, Phys. Rev. D 63, 103503 (2001); G. Felder et al., Phys. Rev. Lett. 87, 011601 (2001); G. Aarts, G.F. Bonini, and C. Wetterich, Phys. Rev. D 63, 025012 (2000).
19. L. Kofman, A. Linde, and A. Starobinsky, Phys. Rev. D 56, 3258 (1997); D. Boyanovsky, H.J. de Vega, and R. Holman, in Proceedings of the Fifth Erice Chalonge School on Astrofundamental Physics, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1997); G. Felder and L. Kofman, Phys. Rev. D 63, 103503 (2001); G. Felder et al., Phys. Rev. Lett. 87, 011601 (2001); G. Aarts, G.F. Bonini, and C. Wetterich, Phys. Rev. D 63, 025012 (2000).
20. L. Kofman, A. Linde, and A. Starobinsky, Phys. Rev. D 56, 3258 (1997); D. Boyanovsky, H.J. de Vega, and R. Holman, in Proceedings of the Fifth Erice Chalonge School on Astrofundamental Physics, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1997); G. Felder and L. Kofman, Phys. Rev. D 63, 103503 (2001); G. Felder et al., Phys. Rev. Lett. 87, 011601 (2001); G. Aarts, G.F. Bonini, and C. Wetterich, Phys. Rev. D 63, 025012 (2000).
21. L. Kofman, A. Linde, and A. Starobinsky, Phys. Rev. D 56, 3258 (1997); D. Boyanovsky, H.J. de Vega, and R. Holman, in Proceedings of the Fifth Erice Chalonge School on Astrofundamental Physics, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1997); G. Felder and L. Kofman, Phys. Rev. D 63, 103503 (2001); G. Felder et al., Phys. Rev. Lett. 87, 011601 (2001); G. Aarts, G.F. Bonini, and C. Wetterich, Phys. Rev. D 63, 025012 (2000).
22. L. Kofman, A. Linde, and A. Starobinsky, Phys. Rev. D 56, 3258 (1997); D. Boyanovsky, H.J. de Vega, and R. Holman, in Proceedings of the Fifth Erice Chalonge School on Astrofundamental Physics, edited by N. Sánchez and A. Zichichi (World Scientific, Singapore, 1997); G. Felder and L. Kofman, Phys. Rev. D 63, 103503 (2001); G. Felder et al., Phys. Rev. Lett. 87, 011601 (2001); G. Aarts, G.F. Bonini, and C. Wetterich, Phys. Rev. D 63, 025012 (2000).
23. See http://www.dartmouth.edu/~cosmos/oscillons.