Analytic solutions for monotonic and oscillating fronts in a reaction-diffusion system under external fields

Physica D: Nonlinear Phenomena

Volumn 183, Issue 1-2, 2003, Pages 117-132

  Zemskov, E P ^a   Zykov, V S ^b   Kassner, K ^a   Muller S C ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

^b TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

External field; Front oscillation; Reaction diffusion system; Travelling front

Indexed keywords

BIFURCATION (MATHEMATICS); DIFFUSION; NUMERICAL ANALYSIS; PERTURBATION TECHNIQUES;

FRONT OSCILLATIONS;

OSCILLATIONS;

EID: 0041511859     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(03)00138-6     Document Type: Article

References (16)

1. Hagberg A., Meron E., Chaos. 4:1994;477 Hagberg A., Meron E., Nonlinearity. 7:1994;805.
2. Hagberg A., Meron E., Chaos. 4:1994;477 Hagberg A., Meron E., Nonlinearity. 7:1994;805.
3. Hagberg A., Meron E., Rubinstein I., Zaltzman B., Phys. Rev. Lett. 76:1996;427 Elphick C., Hagberg A., Meron E., Phys. Rev. E. 51:1995;3052.
4. Hagberg A., Meron E., Rubinstein I., Zaltzman B., Phys. Rev. Lett. 76:1996;427 Elphick C., Hagberg A., Meron E., Phys. Rev. E. 51:1995;3052.
5. Davydov V.A., Morozov V.G., Sov. Phys. Usp. 39:1996;305.
6. V.S. Zykov, Simulation of Wave Processes in Excitable Media, Manchester University Press, New York, 1987 Rinzel J., Keller J.B., Biophys. J. 13:1973;1313 Ohta T., Mimura M., Kobayashi R., Physica D. 34:1989;115 Ito A., Ohta T., Phys. Rev. A. 45:1992;8374 Bakanas R., Nonlinearity. 16:2003;313.
7. V.S. Zykov, Simulation of Wave Processes in Excitable Media, Manchester University Press, New York, 1987 Rinzel J., Keller J.B., Biophys. J. 13:1973;1313 Ohta T., Mimura M., Kobayashi R., Physica D. 34:1989;115 Ito A., Ohta T., Phys. Rev. A. 45:1992;8374 Bakanas R., Nonlinearity. 16:2003;313.
8. V.S. Zykov, Simulation of Wave Processes in Excitable Media, Manchester University Press, New York, 1987 Rinzel J., Keller J.B., Biophys. J. 13:1973;1313 Ohta T., Mimura M., Kobayashi R., Physica D. 34:1989;115 Ito A., Ohta T., Phys. Rev. A. 45:1992;8374 Bakanas R., Nonlinearity. 16:2003;313.
9. V.S. Zykov, Simulation of Wave Processes in Excitable Media, Manchester University Press, New York, 1987 Rinzel J., Keller J.B., Biophys. J. 13:1973;1313 Ohta T., Mimura M., Kobayashi R., Physica D. 34:1989;115 Ito A., Ohta T., Phys. Rev. A. 45:1992;8374 Bakanas R., Nonlinearity. 16:2003;313.
10. V.S. Zykov, Simulation of Wave Processes in Excitable Media, Manchester University Press, New York, 1987 Rinzel J., Keller J.B., Biophys. J. 13:1973;1313 Ohta T., Mimura M., Kobayashi R., Physica D. 34:1989;115 Ito A., Ohta T., Phys. Rev. A. 45:1992;8374 Bakanas R., Nonlinearity. 16:2003;313.
11. Manne K.K., Hurd A.J., Kenkre V.M., Phys. Rev. E. 61:2000;4177.
12. Schmidt S., Ortoleva P., J. Chem. Phys. 67:1977;3771.
13. Zemskov E.P., Zykov V.S., Kassner K., Müller S.C., Nonlinearity. 13:2000;2063.
14. Gourley S.A., J. Math. Biol. 41:2000;272.
15. Hagberg A., Meron E., Rubinstein I., Zaltzman B., Phys. Rev. E. 55:1997;4450.
16. A.S. Mikhailov, Foundations of Synergetics. I. Distributed Active Systems, Springer, Berlin, 1994.