Stability of echo waves in linearly couple oregonators

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 320, Issue 2-3, 2003, Pages 116-126

  Zhou, Tianshou ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Coupled oregonators; Echo wave; Floquet multiplier

Indexed keywords

COUPLED OREGONATORS; COUPLED SYSTEMS; ECHO WAVES; FLOQUET MULTIPLIER; IN-PHASE; MODE DECOMPOSITION; POSITIVE STEADY STATE;

ARTICLE; CALCULATION; DECOMPOSITION; LETTER; MATHEMATICAL ANALYSIS; PHYSICS; STEADY STATE;

EID: 0346965694     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2003.11.016     Document Type: Article

References (25)

1. T.S. Zhou, S.C. Zhang, Physica D 151 (2001) 199.
2. A.T. Winfree, The Geometry of Biological Time, Springer, New York, 1980.
3. Y. Kuramoto, I. Nishikawa, J. Stat. Phys. 49 (1987) 569.
4. P. DeNeef, H. Lashinsky, Phys. Rev. Lett. 31 (1973) 1039.
5. S.H. Strogatz, I.N. Stewart, Sci. Am. (1993) 68.
6. D. Golomb, D. Hansel, B. Shrainan, H. Sompolinsky, Phys. Rev. A 45 (1992) 3516.
7. N.J. Balmforth, R. Sassi, Physica D 143 (2000) 21.
8. S.H. Strogatz, Physica D 143 (2000) 1.
9. J.C. Alexander, G. Auchmuty, Arch. Rational Mech. Ann. 93 (1986) 253.
10. K. Bar-Eli, Physica D 14 (1985) 242.
11. Y. Kuramoto, Chemical Oscillators, Waves, and Turbulence, Springer, Berlin, 1984.
12. P.C. Mathews, R.E. Mirollo, S.H. Strogatz, Physica D 52 (1991) 293.
13. J.J. Benford, H. Sze, W. Woo, R.R. Smith, B. Harteneck, Phys. Rev. Lett. 62 (1989) 469.
14. V.I. Krinsky, A.V. Kholopov, Biofizika 12 (1967) 524.
15. V.I. Krinsky, A.M. Pertsov, A.N. Peshetilov, Biofizika 17 (2) (1972) 271.
16. J.J. Tyson, Ann. N.Y. Acad. Sci. 316 (1979) 279.
17. G.B. Ermentrout, J. Rinzel, SIAM J. Appl. Math. 56 (1996) 1107.
18. T.S. Zhou, S.C. Zhang, Chaos Solitons Fractals 13 (2002) 621.
19. D.G. Aronson, E.J. Doedell, H.G. Otherm, Physica D 25 (1987) 20.
20. J.J. Collins, I.N. Stewart, J. Nonlinear Sci. 3 (1993) 349.
21. J.L. Dialecii, M.G. Krein, Stability of Differential Equations in Banach Space, in: Translation of Math. Monographs, Vol. 43, AMS, New York, 1974.
22. J.Y. Zhang, Geometrical Theory and Bifurcation Problem in Order Differential Equations, Peking Univ. Press, Beijing, 1987 (in Chinese).
23. R.J. Field, E. Körös, R.M. Noyes, J. Am. Chem. Soc. 94 (1972) 8649.
24. J.J. Tyson, P.C. Fife, J. Chem. Phys. 73 (1980) 2224.
25. T.S. Zhou, J.H. Lü, G.R. Chen, Y. Tang, Phys. Lett. A 301 (2002) 231.