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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.
openaire   +2 more sources

On precise center stable manifold theorems for certain reaction–diffusion and Klein–Gordon equations

Physica D: Nonlinear Phenomena, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanislavova, Milena, Stefanov, Atanas
openaire   +1 more source

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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Stability, instability and center manifold theorem for fully nonlinear autonomous parabolic equations in Banach space

Archive for Rational Mechanics and Analysis, 1988
The authors study fully nonlinear equations of parabolic type. They deal with stability, instability and saddle points of an equilibrium and establish the existence of an attracting local center manifold.
G. Da Prato, LUNARDI, Alessandra
openaire   +2 more sources

An Existence Theorem of Smooth Nonlocal Center Manifolds for Systems Close to a System with a Homoclinic Loop

Journal of Nonlinear Science, 1999
Considered are systems of differential equations close to a system that has a homoclinic loop. The study of the dynamics of such systems is facilitated by a dimensional reduction achieved through the construction of a locally invariant center manifold that contains all limit sets.
Shashkov, M. V., Turaev, D. V.
openaire   +1 more source

Compressor Active Stability Control Based on Center Manifold Theorem and Parameter Optimization

2022 41st Chinese Control Conference (CCC), 2022
Chongyi Sun   +4 more
openaire   +1 more source

Bifurcation analysis of the permanent-magnet synchronous motor models based on the center manifold theorem

2012
The mathematical model of the permanent-magnet synchronous motor (PMSM) is formulated, and then the center manifold theorem is used to obtain a simplified center manifold equation of the PMSM. Finally, its stability and bifurcation are discussed.
Pong, M, Zhang, B, Mao, Z, Li, Z
openaire   +2 more sources

Cancer risk among World Trade Center rescue and recovery workers: A review

Ca-A Cancer Journal for Clinicians, 2022
Paolo Boffetta   +2 more
exaly  

Advancing survivorship care through the National Cancer Survivorship Resource Center

Ca-A Cancer Journal for Clinicians, 2013
Mandi L Pratt-Chapman   +2 more
exaly  

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