Coexistence of stationary and traveling waves in reaction-diffusion-advection systems

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

Volumn 68, Issue 3 1, 2003, Pages 321011-321014

  Satnoianu, Razvan A ^a  

^a CITY UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BOUNDARY CONDITIONS; COMPUTER SIMULATION; DIFFUSION; FLUID STRUCTURE INTERACTION; ORDINARY DIFFERENTIAL EQUATIONS; SYSTEM STABILITY; TRANSPORT PROPERTIES;

ADVECTION; STATIONARY WAVES; TRAVELING WAVES;

REACTION KINETICS;

EID: 0242579631     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (20)

1. R. A. Satnoianu and M. Menzinger, Phys. Rev. E 62, 113 (2000).
2. A. B. Rovinsky and M. Menzinger, Phys. Rev. Lett. 70, 778 (1993).
3. R. A. Satnoianu, P. K. Maini, and M. Menzinger, Physica D 160, 79 (2001).
4. A. M. Turing, Philos. Trans. R. Soc. London, Ser. B 237, 37 (1952).
5. P. Andresen, M. Bache, E. Mosekilde, G. Dewel, and P. Borckmans, Phys. Rev. E 60, 297 (1999).
6. M. Kaern and M. Menzinger, Phys. Rev. E 60, 3471 (1999).
7. O. A. Nekhamkina, A. A. Nepomnyashchy, B. Y. Rubinstein, and M. Sheintuch, Phys. Rev. E 61, 2436 (2000); O. Nekhamkina and M. Sheintuch, ibid. 66, 016204 (2002).
8. O. A. Nekhamkina, A. A. Nepomnyashchy, B. Y. Rubinstein, and M. Sheintuch, Phys. Rev. E 61, 2436 (2000); O. Nekhamkina and M. Sheintuch, ibid. 66, 016204 (2002).
9. J. R. Bamforth, J. H. Merkin, S. K. Scott, R. Toth, and V. Gaspar, Phys. Chem. Chem. Phys. 3, 1435 (2001).
10. P. V. Kuptsov, S. P. Kuznetsov, and E. Mosekilde, Physica D 163, 80 (2002).
11. M. Kaern, M. Menzinger, and A. Hunding, J. Theor. Biol. 207, 473 (2000); M. Kaern, M. Menzinger, R. A. Satnoianu, and A. Hunding, Faraday Discuss. 120, 295 (2001).
12. M. Kaern, M. Menzinger, and A. Hunding, J. Theor. Biol. 207, 473 (2000); M. Kaern, M. Menzinger, R. A. Satnoianu, and A. Hunding, Faraday Discuss. 120, 295 (2001).
13. R. A. Satnoianu, J. H. Merkin, and S. K. Scott, Physica D 124, 354 (1998); J. H. Merkin, R. A. Satnoianu, and S. K. Scott, Dyn. Stab. Syst. 15, 209 (2000).
14. R. A. Satnoianu, J. H. Merkin, and S. K. Scott, Physica D 124, 354 (1998); J. H. Merkin, R. A. Satnoianu, and S. K. Scott, Dyn. Stab. Syst. 15, 209 (2000).
15. B. P. Belousov, in Oscillations and Traveling Waves in Chemical Systems, edited by R. J. Field and M. Burger (Wiley, New York, 1985); A. M. Zhabotinskii, Biofizika 9, 306 (1964).
16. B. P. Belousov, in Oscillations and Traveling Waves in Chemical Systems, edited by R. J. Field and M. Burger (Wiley, New York, 1985); A. M. Zhabotinskii, Biofizika 9, 306 (1964).
17. J. S. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE 50, 2061 (1962); R. FitzHugh, Biophys. J. 1, 445 (1961).
18. J. S. Nagumo, S. Arimoto, and S. Yoshizawa, Proc. IRE 50, 2061 (1962); R. FitzHugh, Biophys. J. 1, 445 (1961).
19. I. Lengyel and I. Epstein, Science 251, 650 (1991).
20. R. A. Satnoianu and M. Menzinger (unpublished).