Results 41 to 50 of about 4,623,308 (321)

Center Manifolds for Delay Equations

open access: yesFunkcialaj 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
openaire   +2 more sources

Centers on center manifolds in the Lü system [PDF]

open access: yesPhysics 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
openaire   +5 more sources

Analytic Nilpotent Centers on Center Manifolds

open access: yes, 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

Asymptotic Integration of Certain Differential Equations in Banach Space

open access: yesМоделирование и анализ информационных систем, 2017
We investigate the problem of constructing the asymptotics for weak solutions of certain class of linear differential equations in the Banach space as the independent variable tends to infinity.
Pavel N. Nesterov
doaj   +1 more source

Spiral waves and turbulence in mathematical models of oncolytic virotherapy induced by Hopf bifurcation

open access: yesFrontiers in Applied Mathematics and Statistics
Oncolytic virotherapy is a promising targeted cancer treatment that employs viruses, which selectively infect tumor cells. Although its clinical efficiency has remained limited and it is often used in conjunction with other therapies, advances in genetic
Tejas Bansod, Thomas Hillen
doaj   +1 more source

On 3-manifolds that support partially hyperbolic diffeomorphisms

open access: yes, 2010
Let M be a closed 3-manifold that supports a partially hyperbolic diffeomorphism f. If $\pi_1(M)$ is nilpotent, the induced action of f on $H_1(M, R)$ is partially hyperbolic.
Parwani, Kamlesh
core   +1 more source

Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three-Body Problem [PDF]

open access: yesSIAM Journal on Applied Dynamical Systems, 2011
We present a method of proving existence of center manifolds within specified domains. The method is based on a combination of topological tools, normal forms, and rigorous computer-assisted com- putations.
M. Capinski, P. Roldán
semanticscholar   +1 more source

Financial Burden Associated With Hospitalisation Among Families of Childhood Brain Tumours in Australia

open access: yesPediatric Blood &Cancer, EarlyView.
ABSTRACT Background Families of children with cancer experience significant financial strain, even with universal healthcare. Indirect costs, such as productivity losses and non‐medical expenses, are rarely included in economic evaluations, and little is known about how effectively financial aid programmes alleviate this burden. Childhood brain tumours
Megumi Lim   +8 more
wiley   +1 more source

The Center Conditions and Bifurcation of Limit Cycles at the Degenerate Singularity of a Three-Dimensional System

open access: yesJournal of Applied Mathematics, 2014
We investigate multiple limit cycles bifurcation and center-focus problem of the degenerate equilibrium for a three-dimensional system. By applying the method of symbolic computation, we obtain the first four quasi-Lyapunov constants.
Shugang Song   +2 more
doaj   +1 more source

Center Manifold Theorem and Stability for Integral Equations with Infinite Delay [PDF]

open access: yes, 2012
The present paper deals with autonomous integral equations with infinite delay via dynamical system approach. Existence, local exponential attractivity, and other properties of center manifold are established by means of the variation-of-constants ...
H. Matsunaga   +3 more
semanticscholar   +1 more source

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