Results 11 to 20 of about 64,085 (304)
Center manifold: A case study [PDF]
Discrete and Continuous Dynamical Systems, 2011 Following Almgren's construction of the "center manifold" in his Big regularity paper, we show the C^{3,α} regularity of area-minimizing currents in the neighborhood of points of density one without using the nonparametric theory. This study is intended as a first step towards the understanding of Almgren's construction in its full generality.
Camillo De Lellis, Emanuele Spadaro
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Asymptotic integration of functional differential systems with oscillatory decreasing coefficients: a center manifold approach [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper we study the asymptotic integration problem in the neighborhood of infinity for a certain class of linear functional differential systems. We propose a method for construction of the asymptotics of solutions in the critical case.
Pavel Nesterov
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SIAM Journal on Mathematical Analysis, 2021 To appear in SIAM Journal on Mathematical ...
Neamţu, Alexandra, Kuehn, Christian
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Centers on center manifolds in the Lü system [PDF]
Physics Letters A, 2011 We confirm a conjecture of Mello and Coelho [Physics Letters A 373 (2009) 1116-1120] concerning the existence of centers on local center manifolds at equilibria of the Lü system of differential equations on R3. Our proof shows that the local center manifolds are algebraic ruled surfaces, and are unique.
Mahdi, Adam +2 more
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Radiation Reaction and Center Manifolds [PDF]
SIAM Journal on Mathematical Analysis, 2000 Summary: We study the effective dynamics of a mechanical particle coupled to a wave field and subject to the slowly varying potential \(V(\varepsilon q)\) with \(\varepsilon\) small. To lowest order in \(\varepsilon\) the motion of the particle is governed by an effective Hamiltonian.
Markus Kunze, Herbert Spohn
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A center manifold result for delayed neural fields equations [PDF]
, 2012 We develop a framework for the study of delayed neural fields equations and prove a center manifold theorem for these equations. Specific properties of delayed neural fields equations make it impossible to apply existing methods from the literature ...
Faugeras, Olivier, Veltz, Romain
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Greedy kernel methods for center manifold approximation [PDF]
, 2020 For certain dynamical systems it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory allows to isolate the complicated asymptotic behavior of the system close to a non-hyperbolic equilibrium ...
Hamzi B. +3 more
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Density Peaks Clustering Algorithm Based on Weighted
IEEE Access, 2020 Density peaks clustering (DPC) is a density-based clustering algorithm with excellent clustering performance including accuracy, automatically detecting the number of clusters, and identifying center points.
Lina Liu, Donghua Yu
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Mathematical Modelling and Analysis, 2015 The paper addresses the bifurcations for a delay differential model with parameters which confers a strong Allee effect in Escherichia coli. Stability and local Hopf bifurcations are analyzed when the delay τ or σ as parameter.
Qiubao Wang, Ruilan Tian
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FLOQUET PROBLEM AND CENTER MANIFOLD REDUCTION FOR ORDINARY DIFFERENTIAL OPERATORS WITH PERIODIC COEFFICIENTS IN HILBERT SPACES [PDF]
, 2021 A first order differential equation with a periodic operator coefficient acting in a pair of Hilbert spaces is considered. This setting models both elliptic equations with periodic coefficients in a cylinder and parabolic equations with time periodic ...
Kozlov, Vladimir, Taskinen, J.
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