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Large-scale stochastic simulation of open quantum systems. [PDF]

open access: yesNat Commun
Sander A   +8 more
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Center Manifold Theorem for Integral Equations (Global qualitative theory of ordinary differential equations and its applications)

open access: yesCenter Manifold Theorem for Integral Equations (Global qualitative theory of ordinary differential equations and its applications)
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The Center Manifold Theorem and the Structure of a Flow in the Vicinity of an Almost Periodic Motion (Local Dynamical Systems : Integral and Differential Equations)

open access: yesThe Center Manifold Theorem and the Structure of a Flow in the Vicinity of an Almost Periodic Motion (Local Dynamical Systems : Integral and Differential Equations)
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Asymptotic expansions obtained by a center manifold theorem

Annali di Matematica Pura ed Applicata, 1988
Consider 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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Reduction of a Tri-Modal Lorenz Model of Ferrofluid Convection to a Cubic–Quintic Ginzburg–Landau Equation Using the Center Manifold Theorem

Differential Equations and Dynamical Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Siddheshwar, P. G., Sushma, T. S.
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The center manifold theorem for a discrete system

Applicable Analysis, 1992
In 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, 1981
The 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, 2009
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Stanislavova, Milena, Stefanov, Atanas
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The Center Manifold Theorem

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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Center manifolds theorem for parameterized delay differential equations with applications to zero singularities

Nonlinear Analysis: Theory, Methods & Applications, 2011
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Guo, Shangjiang, Man, Juanjuan
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