Averaging Normal Forms for Partial Differential Equations with Applications to Perturbed Wave Equations
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Published:2009-10-19
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Page:307-321
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Container-title:Integral Methods in Science and Engineering, Volume 1
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Birkhäuser Boston
Reference13 articles.
1. Bakri, T., Meijer, H.G.E, Verhulst, F.: Emergence and bifurcations of Lyapunov manifolds in nonlinear wave equations, J. Nonlinear Sci. (to appear). 2. Buitelaar, R.P.: The Method of Averaging in Banach Spaces, Ph.D. Thesis, University of Utrecht, The Netherlands (1993). 3. Heijnekamp, J.J., Krol, M.S., Verhulst, F.: Averaging in non-linear advective transport problems. Math. Methods Appl. Sci., 18, 437–448 (1995). 4. Krol, M.S.: On the averaging method in nearly time-periodic advection-diffusion problems. SIAM J. Appl. Math., 51, 1622–1637 (1991). 5. Rand, R.H., Newman, W.I., Denardo, B.C., Newman, A.L.: Dynamics of a nonlinear parametrically-excited partial differential equation, in Proc. Design Engng. Techn. Conferences 3 (1995), 57–68. (See also Chaos, 9, 242–253 (1999).)
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