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Rough center manifolds [PDF]

SIAM Journal on Mathematical Analysis, 2018
To appear in SIAM Journal on Mathematical ...
Christian Kuehn, Alexandra Neamţu
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Closed aspherical manifolds with center [PDF]

Journal of Topology, 2013
We show that in all dimensions >7 there are closed aspherical manifolds whose fundamental groups have nontrivial center but do not possess any topological circle actions. This disproves a conjectured converse (proposed by Conner and Raymond) to a classical theorem of Borel.
Sylvain E. Cappell, Shmuel Weinberger, Min Yan   +2 more
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Erratum to: Center Manifold Method in the Asymptotic Integration Problem for Functional Differential Equations with Oscillatory Decreasing Coefficients. II (in Russian)

Моделирование и анализ информационных систем, 2016
We correct the computational mistakes in paper: Nesterov P. N. Center Manifold Method in the Asymptotic Integration Problem for Functional Differential Equations with Oscillatory Decreasing Coefficients. II. In: Modeling and Analysis of Information Systems.
P. N. Nesterov
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Structural connectome manifold changes related to body mass index and their associations with eating psychopathology [PDF]

NeuroImage: Clinical
Brain connectome analysis provides insights into body mass index (BMI)-related brain topology and cognitive functions. While alterations in the brain connectome have been observed in individuals with high BMI, evidence regarding BMI-based structural ...
Yurim Jang, Jong Young Namgung, Eunchan Noh, Bo-yong Park   +3 more
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Center manifold

Scholarpedia, 2006
Jack Carr
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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, Gong Jiaxin, Yang Juan, Shu Ji   +3 more
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On oscillation of solutions of scalar delay differential equation in critical case

Electronic Journal of Qualitative Theory of Differential Equations, 2022
In this paper we study the oscillation problem for the known scalar delay differential equation. We assume that the coefficients of this equation have an oscillatory behaviour with an amplitude of oscillation tending to zero at infinity.
Pavel Nesterov
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Transition and bifurcation analysis for chemotactic systems with double eigenvalue crossings

AIMS Mathematics, 2023
Our main objective of this research is to study the dynamic transition for diffusive chemotactic systems modeled by Keller-Segel equations in a rectangular domain. The main tool used is the recently developed dynamic transition theory.
Haiping Pan, Yiqiu Mao
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Computational Analysis and Bifurcation of Regular and Chaotic Ca²⁺ Oscillations

Mathematics, 2021
This study investigated the stability and bifurcation of a nonlinear system model developed by Marhl et al. based on the total Ca2+ concentration among three different Ca2+ stores.
Xinxin Qie, Quanbao Ji
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Center manifolds for smooth invariant manifolds [PDF]

Transactions of the American Mathematical Society, 2000
We study dynamics of flows generated by smooth vector fields in R n {\mathbb {R}}^n in the vicinity of an invariant and closed smooth manifold Y Y . By applying the Hadamard graph transform technique, we show that there exists an invariant manifold (called a center
Chow, Shui-Nee, Liu, Weishi, Yi, Yingfei
openaire   +2 more sources