Stability of spiral wave vortex filaments with phase twists

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

Volumn 58, Issue 2, 1998, Pages 2580-2585

  Nam, Keeyeol ^a   Ott, Edward ^a   Guzdar, Parvez N ^a   Gabbay, Michael ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009937893     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.58.2580     Document Type: Article

References (19)

1. For a general review on pattern formation see M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).RMPHAT
2. Y. Kuramoto, Chemical Oscillations, Waves and Turbulence (Springer, Berlin, 1984).
3. P. S. Hagan, SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 42, 762 (1982).SMJMAP
4. T. Bohr, G. Huber, and E. Ott, Europhys. Lett. 33, 589 (1996)
5. T. BohrG. HuberE. OttPhysica D 106, 95 (1997).
6. I. S. Aranson, L. Aranson, L. Kramer, and A. Weber, Phys. Rev. A 46, R2992 (1992).PLRAAN
7. G. Huber, P. Alstrom, and T. Bohr, Phys. Rev. Lett. 69, 2380 (1992).PRLTAO
8. H. Chate and P. Manneville, Physica A 224, 348 (1996).PHYADX
9. P. Coullet, L. Gil, and J. Lega, Phys. Rev. Lett. 62, 1619 (1989).PRLTAO
10. M. Gabbay, E. Ott, and P. Guzdar, Phys. Rev. Lett. 78, 2012 (1997)
11. Physica D (to be published).
12. I. S. Aranson, and A. R. Bishop, Phys. Rev. Lett. 79, 4174 (1997).PRLTAO
13. I. S. Aranson, L. Kramer, and A. Weber, Phys. Rev. Lett. 72,2316 (1994).PRLTAO
14. G. Rousseau, H. Chate, and R. Kapral, Phys. Rev. Lett.80, 5671 (1998). We received a copy of this work while completing our present paper. This work is complementary to ours in that it extensively investigated the nonlinear state but does not examine stability using a linear code. Another main result Rousseau et al. found is the existence of “supercoiled” nonlinear states when the phase twist exceeds a certain critical value.PRLTAO
15. E. Bodenschatz, A. Weber, and L. Kramer, in Nonlinear Processes in Excitable Media, edited by A. V. Holden, M. Markus, and H. G. Othmer (Plenum, New York, 1990).
16. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (Cambridge University Press, Cambridge, England, 1986).
17. I. Aranson, A. R. Bishop, and L. Kramer, Phys. Rev. E57, 5276 (1998).PLEEE8
18. M. Gabbay, E. Ott, and P. Guzdar (unpublished).
19. L. D. Landau and E. M. Lifshitz, Fluid Mechanics (Pergamon, London, 1959).