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Volumn 17, Issue 1, 2004, Pages 23-47

Fronts in extended systems of bistable maps coupled via convolutions

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EID: 0346040352     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/17/1/002     Document Type: Article
Times cited : (18)

References (15)
  • 1
    • 0031282920 scopus 로고    scopus 로고
    • Traveling waves in a convolution model for phase transitions
    • Bates P C, Fife P, Ren X and Wang X 1997 Traveling waves in a convolution model for phase transitions Arch. Rat. Mech. Anal. 138 105-36
    • (1997) Arch. Rat. Mech. Anal. , vol.138 , pp. 105-136
    • Bates, P.C.1    Fife, P.2    Ren, X.3    Wang, X.4
  • 3
    • 0001203924 scopus 로고    scopus 로고
    • Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
    • Chen X 1997 Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations Adv. Diff. Eqns 2 125-60
    • (1997) Adv. Diff. Eqns , vol.2 , pp. 125-160
    • Chen, X.1
  • 4
    • 4243289214 scopus 로고    scopus 로고
    • One-dimensional dynamics for traveling fronts in coupled map lattices
    • Carretero-Gonzalez R, Arrowsmith D and Vivaldi F 2000 One-dimensional dynamics for traveling fronts in coupled map lattices Phys. Rev. E 611329-36
    • (2000) Phys. Rev. E , pp. 611329-611336
    • Carretero-Gonzalez, R.1    Arrowsmith, D.2    Vivaldi, F.3
  • 6
    • 0002259897 scopus 로고    scopus 로고
    • Extended symbolic dynamics in bistable CML: Existence and stability of fronts
    • Coutinho R and Fernandez B 1997 Extended symbolic dynamics in bistable CML: existence and stability of fronts Physica D 108 60-80
    • (1997) Physica D , vol.108 , pp. 60-80
    • Coutinho, R.1    Fernandez, B.2
  • 7
    • 0041722653 scopus 로고    scopus 로고
    • Fronts and interfaces in bistable extended mappings
    • Coutinho R and Fernandez B 1998 Fronts and interfaces in bistable extended mappings Nonlinearity 11 1407-33
    • (1998) Nonlinearity , vol.11 , pp. 1407-1433
    • Coutinho, R.1    Fernandez, B.2
  • 8
    • 84971116294 scopus 로고
    • Existence and uniqueness of travelling waves for a neural network
    • Ermentrout G B and McLeod J B 1993 Existence and uniqueness of travelling waves for a neural network Proc. R. Soc. Edin. A 123 461-78
    • (1993) Proc. R. Soc. Edin. A , vol.123 , pp. 461-478
    • Ermentrout, G.B.1    McLeod, J.B.2
  • 9
    • 0017637590 scopus 로고
    • The approach of solutions of nonlinear diffusion equations to travelling front solutions
    • Fife P C and McLeod J B 1977 The approach of solutions of nonlinear diffusion equations to travelling front solutions Arch. Rat. Mech. Anal. 65 335-61
    • (1977) Arch. Rat. Mech. Anal. , vol.65 , pp. 335-361
    • Fife, P.C.1    McLeod, J.B.2
  • 11
    • 0023362335 scopus 로고
    • Propagation and its failure in coupled systems of discrete excitable cells
    • Keener J 1987 Propagation and its failure in coupled systems of discrete excitable cells SIAM J. Appl. Math. 47 556-72
    • (1987) SIAM J. Appl. Math. , vol.47 , pp. 556-572
    • Keener, J.1
  • 14
    • 53149083400 scopus 로고    scopus 로고
    • The global structure of traveling waves in spatially discrete dynamical systems
    • Mallet-Paret J 1999 The global structure of traveling waves in spatially discrete dynamical systems J. Dynam. Diff. Eqns 11 49-127
    • (1999) J. Dynam. Diff. Eqns , vol.11 , pp. 49-127
    • Mallet-Paret, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.