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Large-scale stochastic simulation of open quantum systems. [PDF]
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Asymptotic expansions obtained by a center manifold theorem
Annali di Matematica Pura ed Applicata, 1988Consider the singularly perturbed system of ordinary differential equations \(\epsilon\) \({\dot \xi}=F(\xi,\eta,\epsilon)\), \({\dot \eta}=G(\xi,\eta,\epsilon)\) with \(\xi,F\in R^{\nu}\), \(\eta,G\in R^{\mu}\), \((\xi,\eta)\in \Omega \subset R^{\nu +\mu}\), \(\epsilon \in [0,\epsilon_ 0)\), \(F,G\in C^{r+2}(\Omega \times [0,\epsilon_ 0))\), \(r\geq 0\
Battelli, Flaviano, Lazzari, Claudio
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Differential Equations and Dynamical Systems, 2021
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Siddheshwar, P. G., Sushma, T. S.
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Siddheshwar, P. G., Sushma, T. S.
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The center manifold theorem for a discrete system
Applicable Analysis, 1992In this paper we give a new proof of the center manifold teorem for a system of difference equations. Our result is an analogue of the known classical results for systems of differential equations. For the existence of the center manifold we use the method of contracting maping rinciple.
Nicholas Karydas, John Schinas
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Generalized Ginzburg-Landau equations, slaving principle and center manifold theorem
Zeitschrift f�r Physik B Condensed Matter, 1981The Generalized Ginzburg-Landau equations, introduced by one of us (H.H.), are considered in a simplified version to clarify their relation to the center manifold theorem.
A. Wunderlin, H. Haken
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On precise center stable manifold theorems for certain reaction–diffusion and Klein–Gordon equations
Physica D: Nonlinear Phenomena, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanislavova, Milena, Stefanov, Atanas
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1976
In this section we will start to carry out the program outlined in Section 1 by proving the center manifold theorem. The general invariant manifold theorem is given in Hirsch-Pugh-Shub [1]. Most of the essential ideas are also in Kelley [1] and a treatment with additional references is contained in Hartman [1]. However, we shall follow a proof given by
J. E. Marsden, M. McCracken
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In this section we will start to carry out the program outlined in Section 1 by proving the center manifold theorem. The general invariant manifold theorem is given in Hirsch-Pugh-Shub [1]. Most of the essential ideas are also in Kelley [1] and a treatment with additional references is contained in Hartman [1]. However, we shall follow a proof given by
J. E. Marsden, M. McCracken
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Nonlinear Analysis: Theory, Methods & Applications, 2011
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Guo, Shangjiang, Man, Juanjuan
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Guo, Shangjiang, Man, Juanjuan
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