메뉴 건너뛰기




Volumn 19, Issue 2, 2007, Pages 479-496

The saddle-node of nearly homogeneous wave trains in reaction-diffusion systems

Author keywords

Homogeneous oscillation; Reaction diffusion systems; Saddle node bifurcation; Stability; Wave trains

Indexed keywords


EID: 34249889953     PISSN: 10407294     EISSN: 15729222     Source Type: Journal    
DOI: 10.1007/s10884-006-9059-5     Document Type: Article
Times cited : (20)

References (10)
  • 1
    • 0035892848 scopus 로고    scopus 로고
    • Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation
    • Brusch, L., Torcini, A., van Hecke, M., Zimmermann, M. G., and Bär, M. (2001). Modulated amplitude waves and defect formation in the one-dimensional complex Ginzburg-Landau equation. Phys. D 160, 127-148.
    • (2001) Phys. D , vol.160 , pp. 127-148
    • Brusch, L.1    Torcini, A.2    van Hecke, M.3    Zimmermann, M.G.4    Bär, M.5
  • 2
    • 0034287892 scopus 로고    scopus 로고
    • Spatial unfolding of elementary bifurcations
    • Coullet, P., Risler, E., and Vandenberghe, N. (2001). Spatial unfolding of elementary bifurcations. J. Stat Phys. 101, 521-541.
    • (2001) J. Stat Phys , vol.101 , pp. 521-541
    • Coullet, P.1    Risler, E.2    Vandenberghe, N.3
  • 3
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • Cross, M.C. and Hohenberg, P. C. (1993). Pattern formation outside of equilibrium. Rev. Mod. Phys. 65, 851-1112.
    • (1993) Rev. Mod. Phys , vol.65 , pp. 851-1112
    • Cross, M.C.1    Hohenberg, P.C.2
  • 5
    • 0001307276 scopus 로고
    • On the structure of the spectra of periodic travelling waves
    • Gardner, R. A. (1993). On the structure of the spectra of periodic travelling waves. J. Math. Pures Appl. 72, 415-439.
    • (1993) J. Math. Pures Appl , vol.72 , pp. 415-439
    • Gardner, R.A.1
  • 6
    • 33644903758 scopus 로고    scopus 로고
    • From trigger to phase waves and back again
    • Bordiougov, G., Engel, H. (2006). From trigger to phase waves and back again. Physica D 215, 25-37.
    • (2006) Physica D , vol.215 , pp. 25-37
    • Bordiougov, G.1    Engel, H.2
  • 7
    • 0039450317 scopus 로고
    • Pattern formation in oscillatory chemical reactions
    • Kuramoto, Y. and Yamada, T. (1976). Pattern formation in oscillatory chemical reactions. Prog. Theor. Phys., 56, 724-740.
    • (1976) Prog. Theor. Phys , vol.56 , pp. 724-740
    • Kuramoto, Y.1    Yamada, T.2
  • 8
    • 34748878233 scopus 로고    scopus 로고
    • Instabilities of wave trains and turing patterns in large domains
    • To appear in
    • Rademacher, J. D. M., and Scheel, A. (2006). Instabilities of wave trains and turing patterns in large domains. To appear in Int. J. Bif. Chaos.
    • (2006) Int. J. Bif. Chaos
    • Rademacher, J.D.M.1    Scheel, A.2
  • 10
    • 0346686985 scopus 로고    scopus 로고
    • Absolute and convective instabilities of waves on unbounded and large bounded domains
    • Sandstede, B., and Scheel, A. (2000). Absolute and convective instabilities of waves on unbounded and large bounded domains. Phys. D, 145, 233-277.
    • (2000) Phys. D , vol.145 , pp. 233-277
    • Sandstede, B.1    Scheel, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.