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Volumn 6, Issue 11, 1996, Pages 2163-2167

On automated derivation of amplitude equations in nonlinear bifurcation problems

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EID: 0030295528     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127496001430     Document Type: Article
Times cited : (5)

References (14)
  • 1
    • 0001108205 scopus 로고
    • Sustained transverse and longitudal waves at the open surface of a liquid
    • Chu, X.-L. & Velarde, M. G. [1988] "Sustained transverse and longitudal waves at the open surface of a liquid," Physicochem. Hydrodyn. 10, 727.
    • (1988) Physicochem. Hydrodyn. , vol.10 , pp. 727
    • Chu, X.-L.1    Velarde, M.G.2
  • 3
    • 0011553250 scopus 로고
    • Coherence and chaos in the kuramoto-velarde equation
    • ed. Crandall, M. (Academic Press, New York)
    • Hyman, J. M. & Nicolaenko, B. [1987] "Coherence and chaos in the Kuramoto-Velarde equation," in Directions in Partial Differential Equations, ed. Crandall, M. (Academic Press, New York).
    • (1987) Directions in Partial Differential Equations
    • Hyman, J.M.1    Nicolaenko, B.2
  • 4
    • 0000944744 scopus 로고
    • On the formation of dissipative structures in reaction-diffusion systems
    • Kuramoto, Y. & Tsuzuki, T. [1975] "On the formation of dissipative structures in reaction-diffusion systems," Prog. Theoret. Phys. 54, 687.
    • (1975) Prog. Theoret. Phys. , vol.54 , pp. 687
    • Kuramoto, Y.1    Tsuzuki, T.2
  • 5
    • 0039943930 scopus 로고
    • Solitary waves, soliton bound states and chaos in a dissipative Korteweg-de Vries equation
    • Nekorkin, V. I. & Velarde, M. G. [1994] "Solitary waves, soliton bound states and chaos in a dissipative Korteweg-de Vries equation," Int. J. Bifurcation and Chaos 4, 1135.
    • (1994) Int. J. Bifurcation and Chaos , vol.4 , pp. 1135
    • Nekorkin, V.I.1    Velarde, M.G.2
  • 7
    • 0016060840 scopus 로고
    • On the stability of wavy motions in a film flowing down an inclined plane
    • in Russian
    • Nepomnyashchy, A. A. [1974] "On the stability of wavy motions in a film flowing down an inclined plane," Mech. Zidk. Gaza 3, 28 (in Russian).
    • (1974) Mech. Zidk. Gaza , vol.3 , pp. 28
    • Nepomnyashchy, A.A.1
  • 8
    • 0000170396 scopus 로고
    • A three-dimensional description of solitary waves and their interaction in Marangoni-Bénard layers
    • Nepomnyashchy, A. A. & Velarde, M. G. [1994] "A three-dimensional description of solitary waves and their interaction in Marangoni-Bénard layers," Phys. Fluids 6, 187.
    • (1994) Phys. Fluids , vol.6 , pp. 187
    • Nepomnyashchy, A.A.1    Velarde, M.G.2
  • 9
    • 0011556756 scopus 로고    scopus 로고
    • Tools for nonlinear analysis. I. Unfolding of dynamical systems
    • submitted
    • Pismen, L. M. & Rubinstein, B. Y. [1996], "Tools for nonlinear analysis. I. Unfolding of dynamical systems," Int. J. Bifurcation and Chaos, submitted.
    • (1996) Int. J. Bifurcation and Chaos
    • Pismen, L.M.1    Rubinstein, B.Y.2
  • 10
    • 0001778457 scopus 로고
    • Wave conditions in the flow of thin n layer of a viscous liquid under the action of gravity
    • in Russian
    • Shkadov, V. Ya. [1967] "Wave conditions in the flow of thin n layer of a viscous liquid under the action of gravity," Izv. Acad. Nauk. SSSR Mekh. Zhidk. i Gaza 1, 43 (in Russian).
    • (1967) Izv. Acad. Nauk. SSSR Mekh. Zhidk. i Gaza , vol.1 , pp. 43
    • Shkadov, V.Ya.1
  • 11
    • 0017554878 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations
    • Sivashinsky, G. I. [1977] "Nonlinear analysis of hydrodynamic instability in laminar flames. I. Derivation of basic equations," Acta Astron. 4, 1176.
    • (1977) Acta Astron. , vol.4 , pp. 1176
    • Sivashinsky, G.I.1
  • 12
    • 21844497748 scopus 로고
    • On further results on the evolution of solitary waves and their bound states of a dissipative Korteweg-de Vries equation
    • Velarde, M. G., Nekorkin, V. I. & Maksimov, A. [1995] "On further results on the evolution of solitary waves and their bound states of a dissipative Korteweg-de Vries equation," Int. J. Bifurcation and Chaos 5, 831.
    • (1995) Int. J. Bifurcation and Chaos , vol.5 , pp. 831
    • Velarde, M.G.1    Nekorkin, V.I.2    Maksimov, A.3
  • 14
    • 0028731884 scopus 로고
    • Nonlinear waves in stably stratified dissipative media. Solitary waves and turbulent bursts
    • Zimmerman, W. & Velarde, M. G. [1994] "Nonlinear waves in stably stratified dissipative media. Solitary waves and turbulent bursts," Phys. Scripta T55, 111.
    • (1994) Phys. Scripta , vol.T55 , pp. 111
    • Zimmerman, W.1    Velarde, M.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.