Generic spatiotemporal dynamics near codimension-two turing-hopf bifurcations

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 55, Issue 6, 1997, Pages 6690-6697

  Meixner, M ^a   De Wit, A ^b   Bose, S ^a   Scholl E ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

^b Centre for Nonlinear Phenomena   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001089850     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.55.6690     Document Type: Article

References (31)

1. P. Kolodner, Phys. Rev. E PLEEE848, R665 (1993).
2. D P. Vallette, W.S. Edwards, and J.P. Gollub, Phys. Rev. E PLEEE849, R4783 (1994).
3. G. Heidemann, M. Bode, and H.-G. Purwins, Phys. Lett. A PYLAAG177, 225(1993).
4. J P. Keener, Stud. Appl. Math. SAPMB655, 187(1976).
5. G. Nicolis, T. Erneux, and M. Herschkowitz-Kaufman, Adv. Chem. Phys. ADCPAA38, 263(1978).
6. H. Kidachi, Prog. Theor. Phys. PTPKAV63, 1152(1980).
7. J. Guckenheimer and P. Holmes, Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields (Springer-Verlag, New York, 1983).
8. A. De Wit, D. Lima, G. Dewel, and P. Borckmans, Phys. Rev. E PLEEE854, 261(1996).
9. A. Turing, Philos. Trans. R. Soc. London, Ser. B PTRBAE237, 37(1952).
10. P. Borckmans, G. Dewel, A. De Wit, and D. Walgraef, in Chemical Waves and Patterns, edited by R. Kapral and K. Showalter (Kluwer, Dordrecht, 1995), p. 323, and references therein.
11. E. Schöll, Nonequilibrium Phase Transitions in Semiconductors (Springer, Berlin, 1987).
12. M P. Shaw, V V. Mitin, E. Schöll, and H L. Grubin, The Physics of Instabilities in Solid State Electron Devices (Plenum, New York, 1992).
13. B S. Kerner and V V. Osipov, Autosolitons (Kluwer, Dordrecht, 1994).
14. Nonlinear Dynamics and Pattern Formation in Semiconductors and Devices, edited by F.J. Niedernostheide (Springer, Berlin, 1995).
15. A. Wacker and E. Schöll, J. Appl. Phys. JAPIAU78, 7352(1995).
16. A V. Gorbatyuk and P.B. Rodin, J. Commun. Technol. Electron. JTELEJ40, 49(1995).
17. R. Symanczyk, S. Gaelings, and D. Jäger, Phys. Lett. A PYLAAG160, 397(1991).
18. J. Spangler, U. Margull, and W. Prettl, Phys. Rev. B PRBMDO45, 12 137 (1992).
19. F.-J. Niedernostheide, B. S. Kerner, and H.-G. Purwins, Phys. Rev. B PRBMDO46, 7559(1992).
20. M. Bode and H. Purwins, Physica D PDNPDT86, 53(1995).
21. A. Wacker and E. Schöll, Z. Phys. B ZPCMDN93, 431(1994).
22. A. Wacker, S. Bose, and E. Schöll, Europhys. Lett. EULEEJ31, 257(1995).
23. A. Wacker and E. Schöll, Semicond. Sci. Technol. SSTEET9, 592(1994).
24. A S. Mikhailov, Foundations of Synergetics 1, 2nd ed. (Springer, Berlin, 1994).
25. M C. Cross and P.C. Hohenberg, Rev. Mod. Phys. RMPHAT65, 851(1993).
26. A. De Wit, G. Dewel, and P. Borckmans, Phys. Rev. E PLEEE848, R4191 (1993).
27. A. Hill and I. Stewart, Dyn. Stab. Syst.6, 149 (1991).
28. M. Cheng and H.-C. Chang, Phys. Fluids A PFADEB4, 505(1992).
29. K. Fujimura and Y. Renardy, Physica D PDNPDT85, 25(1995).
30. D. Lima, A. De Wit, G. Dewel, and P. Borckmans, Phys. Rev. E PLEEE853, R1305 (1996).
31. G. Nicolis and I. Prigogine, Self-Organization in Nonequilibrium Systems (Wiley, New York, 1977).