Results 11 to 20 of about 4,623,308 (321)
Asymptotic stability of a Korteweg–de Vries equation with a two-dimensional center manifold [PDF]
Advances in Nonlinear Analysis, 2018 Local asymptotic stability analysis is conducted for an initial-boundary-value problem of a Korteweg–de Vries equation posed on a finite interval [0,2π7/3]{[0,2\pi\sqrt{7/3}]}.
Tang Shuxia +3 more
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Regularity of area minimizing currents II: center manifold [PDF]
, 2015 This is the second paper of a series of three on the regularity of higher codimension area minimizing integral currents. Here we perform the second main step in the analysis of the singularities, namely the construction of a center manifold, i.e.
De Lellis, Camillo, Spadaro, Emanuele
core +2 more sources
Center manifold reduction for large populations of globally coupled phase oscillators [PDF]
Chaos, 2011 A bifurcation theory for a system of globally coupled phase oscillators is developed based on the theory of rigged Hilbert spaces. It is shown that there exists a finite-dimensional center manifold on a space of generalized functions. The dynamics on the
Chiba, Hayato +2 more
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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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Center Manifold: a case study [PDF]
Discrete & Continuous Dynamical Systems - A, 2011 Following Almgren's construction of the "center manifold" in his Big regularity paper, we show the C^{3,\alpha} regularity of area-minimizing currents in the neighborhood of points of density one without using the nonparametric theory.
Camillo De Lellis, Emanuele Spadaro
semanticscholar +5 more sources
Kernel methods for center manifold approximation and a data-based version of the Center Manifold Theorem [PDF]
arXiv.org, 2020 For dynamical systems with a non hyperbolic equilibrium, it is possible to significantly simplify the study of stability by means of the center manifold theory.
B. Haasdonk +3 more
semanticscholar +1 more source
2-Cluster fixed-point analysis of mean-coupled Stuart–Landau oscillators in the center manifold [PDF]
Journal of Physics: Complexity, 2020 We reduce the dynamics of an ensemble of mean-coupled Stuart–Landau oscillators close to the synchronized solution. In particular, we map the system onto the center manifold of the Benjamin–Feir instability, the bifurcation destabilizing the synchronized
Felix P. Kemeth +3 more
semanticscholar +1 more source
Thruster-assisted Center Manifold Shaping in Bipedal Legged Locomotion [PDF]
2020 IEEE/ASME International Conference on Advanced Intelligent Mechatronics (AIM), 2020 This work tries to contribute to the design of legged robots with capabilities boosted through thrusterassisted locomotion. Our long-term goal is the development of robots capable of negotiating unstructured environments, including land and air, by ...
A. D. Oliveira, A. Ramezani
semanticscholar +1 more source
SIAM Journal on Mathematical Analysis, 2021 To appear in SIAM Journal on Mathematical ...
Neamţu, Alexandra, Kuehn, Christian
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Approximations of center manifolds for delay stochastic differential equations with additive noise
Advances in Nonlinear Analysis, 2023 This article deals with approximations of center manifolds for delay stochastic differential equations with additive noise. We first prove the existence and smoothness of random center manifolds for these approximation equations. Then we show that the Ck{
Wu Longyu +3 more
doaj +1 more source