Existence and linear stability of planar waves in the Oregonator model

Chinese Physics (Overseas Edition)

Volumn 11, Issue 12, 2002, Pages 1234-1239

  Zhou, Tian Shou ^a   He, Xiao Lan ^b  

^a TSINGHUA UNIVERSITY   (China)

^b Sch of Econ and Mgmt of Guandong   (China)

Author keywords

Excitable media; Linear stability; Spiral wave; Travelling wave

Indexed keywords

EID: 0036903008     PISSN: 10091963     EISSN: None     Source Type: Journal    
DOI: 10.1088/1009-1963/11/12/303     Document Type: Article

References (19)

1. Tyson J. 1977 J. Chem. Phys. 66 905.
2. Zhou T.S. and Zhang S.C. 2001 Chin. Phys. 50 8.
3. Field R.J. and Burger M. 1985 Oscillations and Travelling Waves in the Chemical Systems (New York: Wiley).
4. Tyson J.J. and Keener J.P. 1992 SIAM Rev. 34 1.
5. Zhou T.S. and Zhang S.C. 2000 Chin. Phys. 9 166.
6. Zhou T.S., Lu J.H. and Zhang S.C. 2001 Chin. Phys. 10 1096.
7. Zhou T.S. and Zhang S.C. 2001 Commun. Theor. Phys. 35 657.
8. Keener J.P. 1986 SIAM J. Appl. Math. 46 1039.
9. Keener J.P. and Tyson J.J. 1988 Science 239 1284.
10. Jahnke W., Skaggs W.E. and Winfree A.T. 1989 J. Phys. Chem. 83 740.
11. Rovinsky A.B. 1986 J. Phys. Chem. 90 217.
12. Tyson T.T. and Fife P.C. 1980 J. Chem. Phys. 73 2224.
13. Kessler D.A. and Levine H. 1990 Phys. Rev. A 41 5418.
14. Karmma A. 1991 Phys. Rev. Lett. 66 2274.
15. Kopell N. and Howard L.N. 1974 Lecture on Math. in the Life Science 7 201.
16. Tang Y. and Yan X.H. 2000 Chin. Phys. 9 565.
17. Ruelle D. and Takens F. 1971 Commun. Math. Phys. 20 15.
18. Hope E. 1942 Ber. Math.-Phys. KL. Sächs. Adad. Wiss. Leipzip 94 65.
19. Abroamowitz M. and Stegan L.A. 1964 Handbook of Mathematical Function (New York: Dover).