Front bifurcation in a tristable reaction-diffusion system under periodic forcing

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

Volumn 69, Issue 3 2, 2004, Pages

  Zemskov, E P ^a  

^a OTTO VON GUERICKE UNIVERSITY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

BIFURCATION (MATHEMATICS); BUBBLE FORMATION; DIFFUSION; PHASE DIAGRAMS; PHASE INTERFACES; REACTION KINETICS; VELOCITY CONTROL; WAVE EFFECTS;

FRONT VELOCITY EQUATIONS; NULL-CLINES; PERIODIC FORCING; RECTION-DIFFUSION EQUATION;

TIME VARYING SYSTEMS;

EID: 37649028554     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.69.036208     Document Type: Article

References (26)

1. J. D. Murray, Mathematical Biology (Springer, Berlin, 2002).
2. A. S. Mikhailov, Foundations of Synergetics I. Distributed Active Systems (Springer, Berlin, 1994).
3. M.C. Cross and P.C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
4. M. Leda and A. L. Kawczyński, in Proceedings of the Third European Interdisciplinary School on Nonlinear Dynamics EUROATTRACTOR 2003, edited by W. Klonowski (unpublished).
5. K. Rajchel, Acta Phys. Pol. A 79, 417 (1991).
6. E.M. Maslov and A.G. Shagalov, Physica D 152-153, 769 (2001).
7. K.I. Agladze, V.A. Davydov and A.S. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 45, 601 (1987) [JETP Lett. 45, 767 (1987)].
8. K.I. Agladze, V.A. Davydov and A.S. Mikhailov, Pis'ma Zh. Eksp. Teor. Fiz. 45, 601 (1987) [JETP Lett. 45, 767 (1987)].
9. O. Steinbock, V.S. Zykov, and S.C. Müller, Nature (London) 366, 322 (1993).
10. M. Braune and H. Engel, Chem. Phys. Lett. 211, 534 (1993).
11. V.M. Biktashev and A.V. Holden, J. Theor. Biol. 169, 101 (1994).
12. S. Grill, V.S. Zykov, and S.C. Müller, Phys. Rev. Lett. 75, 3368 (1995).
13. F.G. Bass and R. Bakanas, Europhys. Lett. 53, 444 (2001).
14. V. S. Zykov, Simulation of Wave Processes in Excitable Media (Manchester University Press, New York, 1987).
15. H.P. McKean, Adv. Math. 4, 209 (1970).
16. A. Ito and T. Ohta, Phys. Rev. A 45, 8374 (1992).
17. K.K. Manne, A.J. Hurd, and V.M. Kenkre, Phys. Rev. E 61, 4177 (2000).
18. E.P. Zemskov, V.S. Zykov, K. Kassner, and S.C. Müller, Nonlinearity 13, 2063 (2000).
19. R. Bakanas, Nonlinearity 16, 313 (2003).
20. S.A. Gourley, J. Math. Biol. 41, 272 (2000).
21. E.P. Zemskov, K. Kassner, and S.C. Müller, Eur. Phys. J. B 34, 285 (2003).
22. P. Coullet, J. Lega, B. Houchmanzadeh, and J. Lajzerowicz, Phys. Rev. Lett. 65, 1352 (1990).
23. A. Hagberg and E. Meron, Chaos 4, 477 (1994).
24. A. Hagberg and E. Meron, Nonlinearity 7, 805 (1994).
25. P. Schütz, M. Bode, and H.-G. Purwins, Physica D 82, 382 (1995).
26. V.S. Zykov, A.S. Mikhailov, and S.C. Müller, Phys. Rev. Lett. 78, 3398 (1997).