Results 31 to 40 of about 306,199 (304)

Center Manifolds for Delay Equations

Funkcialaj Ekvacioj, 2020
The authors are concerned with the following delay differential equation \[ v^{\prime}=L(t)v_t+g(t,v_t),\tag{E} \] where \(L(t):C([-r,0];\mathbb{R}^n)\to \mathbb{R}^n\), \(t\in \mathbb{R}\), are bounded linear operators (here \(r\) is a positive number) satisfying \(\sup_{t\in \mathbb{R}}\int_t^{t+1}\Vert L(s) \Vert ds < \infty\), and \(g=g(t,v ...
Barreira, Luis, Valls, Claudia
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Local and global asymptotic behavior of malaria-filariasis coinfections in compliant and noncompliant susceptible pregnant women to antenatal medical program in the tropics [PDF]

E-Journal of Analysis and Applied Mathematics, 2019
In this paper, a mathematical nonlinear model system of equations describing the dynamics of the co-interaction between malaria and filariasis epidemic affecting the susceptible host population of pregnant women in the tropics is formulated.
Oluwatayo M. Ogunmiloro
doaj   +1 more source

Stability analysis of the projectile based on random center manifold reduction

Theoretical and Applied Mechanics Letters, 2023
The center manifold method has been widely used in the field of stochastic dynamics as a dimensionality reduction method. This paper studied the angular motion stability of a projectile system under random disturbances.
Yong Huang, Chunyan Yang
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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, Pessoa, Claudio, Shafer, Douglas S.   +2 more
openaire   +5 more sources

Center manifold: A case study

Discrete & Continuous Dynamical Systems - A, 2011
Following Almgren's construction of the "center manifold" in his Big regularity paper, we show the C^{3, } 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.
De Lellis, Camillo, Spadaro, E
openaire   +4 more sources

A predator-prey model with genetic differentiation both in the predator and prey

Mathematical Biosciences and Engineering, 2020
In this paper, we propose a predator-prey model with genetic differentiation both in the predator and prey. First, we analyze two special cases: a model without the predators and a model with one genotype in both the predator and prey, and for each model
Lisha Wang , Jiandong Zhao
doaj   +1 more source

A Compact Bandpass Filter Manifold With Ultrawide Frequency and Bandwidth Tuning

IEEE Access, 2023
This paper reports a comprehensive design methodology and a compact multilayer integration concept for a fully-reconfigurable bandpass filtering (BPF) manifold with simultaneous ultrawide center frequency and bandwidth (BW) tuning.
Mohammed R. A. Nasser, Rahul Kumar Jaiswal, Dimitra Psychogiou   +2 more
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Asymptotic integration of functional differential systems with oscillatory decreasing coefficients: a center manifold approach

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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Analytic Nilpotent Centers on Center Manifolds

, 2021
Consider analytical three-dimensional differential systems having a singular point at the origin such that its linear part is $y\partial_x-λz\partial_z$ for some $λ\neq 0$. The restriction of such systems to a Center Manifold has a nilpotent singular point at the origin.
Pessoa, Claudio, Queiroz, Lucas
openaire   +2 more sources

Dynamical analysis of spontaneous Ca²⁺ oscillations in astrocytes

Electronic Research Archive
In this work, we focus on a nonlinear dynamical model proposed by Lavrentovich et al. to compute and simulate spontaneous Ca2+ oscillations evoked by calcium ion efflux in astrocytes.
Yapeng Zhang , Yu Chen, Quanbao Ji
doaj   +1 more source