메뉴 건너뛰기




Volumn 12, Issue 10, 2002, Pages 2219-2228

Periodic nucleation solutions of the real Ginzburg-Landau equation in a finite box

Author keywords

Eckhaus instability; Lyapounov functional; Nucleation solutions; Real Ginzburg Landau equation

Indexed keywords

BOUNDARY CONDITIONS; EIGENVALUES AND EIGENFUNCTIONS; LYAPUNOV METHODS; PERTURBATION TECHNIQUES;

EID: 0036815813     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127402005765     Document Type: Article
Times cited : (2)

References (10)
  • 1
    • 0002232810 scopus 로고
    • A simple global characterization for normal forms of singular vector fields
    • Elphick, C., Tirapegui, E., Brachet, M., Coullet, P. & Iooss, G. [1987] "A simple global characterization for normal forms of singular vector fields," Physica D29, 95-127.
    • (1987) Physica , vol.D29 , pp. 95-127
    • Elphick, C.1    Tirapegui, E.2    Brachet, M.3    Coullet, P.4    Iooss, G.5
  • 2
    • 0000791022 scopus 로고
    • Steady-state ensemble for the complex Ginzburg-Landau equation with weak noise
    • Graham, R. & Tel, T. [1990] "Steady-state ensemble for the complex Ginzburg-Landau equation with weak noise," Phys. Rev. A42, 4661-4677.
    • (1990) Phys. Rev. , vol.A42 , pp. 4661-4677
    • Graham, R.1    Tel, T.2
  • 3
    • 46549092908 scopus 로고
    • On the eckhaus instability for spatially periodic patterns
    • Kramer, L. & Zimmermann, W. [1985] "On the Eckhaus instability for spatially periodic patterns," Physica D16, 221-232.
    • (1985) Physica , vol.D16 , pp. 221-232
    • Kramer, L.1    Zimmermann, W.2
  • 4
    • 36049053467 scopus 로고
    • Intrinsic resistive transition in narrow superconducting channels
    • Langer, J.S. & Ambegaokar, V. [1967] "Intrinsic resistive transition in narrow superconducting channels," Phys. Rev. 164, 498-510.
    • (1967) Phys. Rev. , vol.164 , pp. 498-510
    • Langer, J.S.1    Ambegaokar, V.2
  • 5
    • 0001042670 scopus 로고
    • Time scale of intrinsic resistive fluctuations in thin superconducting wires
    • McCumber, D.E. & Halperin, B.I. [1970] "Time scale of intrinsic resistive fluctuations in thin superconducting wires," Phys. Rev. B1, 1054-1070.
    • (1970) Phys. Rev. , vol.B1 , pp. 1054-1070
    • McCumber, D.E.1    Halperin, B.I.2
  • 6
    • 0014662728 scopus 로고
    • Finite bandwidth, finite amplitude convection
    • Newell, A.C. 85 Whitehead, J.A. [1969] "Finite bandwidth, finite amplitude convection," J. Fluid Mech. 38, 279-303.
    • (1969) J. Fluid Mech. , vol.38 , pp. 279-303
    • Newell, A.C.1    Whitehead, J.A.2
  • 7
    • 0014560133 scopus 로고
    • Distant side-walls cause slow amplitude modulations of cellular convection
    • Segel, L.A. [1969] "Distant side-walls cause slow amplitude modulations of cellular convection," J. Fluid Mech. 38, 203-224.
    • (1969) J. Fluid Mech. , vol.38 , pp. 203-224
    • Segel, L.A.1
  • 8
    • 0017983543 scopus 로고
    • The Eckhaus and Benjamin-Feir resonance mechanisms
    • Stuart, J.T. & Di Prima, R.C. [1978] "The Eckhaus and Benjamin-Feir resonance mechanisms," Proc. R. Soc. Lond. A362, p. 27.
    • (1978) Proc. R. Soc. Lond. , vol.A362 , pp. 27
    • Stuart, J.T.1    Di Prima, R.C.2
  • 9
    • 0011965851 scopus 로고
    • Transitions between different stable states in one dimensional Ginzburg-Landau equation
    • Tribelsky, M.I., Kai, S. & Yamazaki, H. [1991] "Transitions between different stable states in one dimensional Ginzburg-Landau equation," Prog. Theor. Phys. 86, 963-967.
    • (1991) Prog. Theor. Phys. , vol.86 , pp. 963-967
    • Tribelsky, M.I.1    Kai, S.2    Yamazaki, H.3
  • 10
    • 0002773290 scopus 로고
    • Bifurcation analysis of the eckhaus instability
    • Tuckerman, L. & Barkley, D. [1990] "Bifurcation analysis of the Eckhaus instability," Physica D46, 57-86.
    • (1990) Physica , vol.D46 , pp. 57-86
    • Tuckerman, L.1    Barkley, D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.