Results 31 to 40 of about 94,676 (275)
Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In a Banach space, assuming that a linear nonautonomous differential equation $v'=A(t)v$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifold of the perturbed equation $v'=A(t)v+
António Bento, Cristina Costa
doaj +1 more source
Inverse Jacobian multipliers and Hopf bifurcation on center manifolds [PDF]
, 2014 In this paper we consider a class of higher dimensional differential systems in $\mathbb R^n$ which have a two dimensional center manifold at the origin with a pair of pure imaginary eigenvalues. First we characterize the existence of either analytic or $
Zhang, Xiang
core +1 more source
Properties of center manifolds [PDF]
Transactions of the American Mathematical Society, 1985 The center manifold has a number of puzzling properties associated with the basic questions of existence, uniqueness, differentiability and analyticity which may cloud its profitable application in e.g. bifurcation theory. This paper aims to deal with some of these subtle properties.
openaire +1 more source
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
openaire +2 more sources
On Information Geometrical Structures
Hittite Journal of Science and Engineering, 2018 Information geometry is a modern differential geometric approach to statistics, in particular theory of information. The main motivation for this expository survey article is the lack of compact material that mainly address to mathematical audience ...
Fatma Muazzez Simsir
doaj +1 more source
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
Double Hopf bifurcation in delay differential equations
Arab Journal of Mathematical Sciences, 2014 The paper addresses the computation of elements of double Hopf bifurcation for retarded functional differential equations (FDEs) with parameters. We present an efficient method for computing, simultaneously, the coefficients of center manifolds and ...
Redouane Qesmi, Mohamed Ait Babram
doaj +1 more source
Subsea Oil Spill Risk Management Based on Sensor Networks
Chemical Engineering Transactions, 2020 The use of Wireless Sensor Networks (WSNs) in support of Dynamic Risk Assessment regarding oil spills still lacks a proper integration. WSNs enable prompt responses to such emergencies through an appropriate inspection, thus avoiding possible larger ...
Gianluca Tabella +3 more
doaj +1 more source
On the group of automorphisms of the algebra of plural numbers
Дифференциальная геометрия многообразий фигур, 2023 The algebra of dual numbers was first introduced by V. K. Clifford in 1873. The algebras of plural and dual numbers are analogous to the algebra of complex numbers. Dual numbers form an algebra, but not a field, because only dual numbers with a real part
A. Ya. Sultanov +2 more
doaj +1 more source
Smooth (non)rigidity of piecewise rank one locally symmetric manifolds
, 2011 We define \emph{piecewise rank 1} manifolds, which are aspherical manifolds that generally do not admit a nonpositively curved metric but can be decomposed into pieces that are diffeomorphic to finite volume, irreducible, locally symmetric, nonpositively
Phan, T. Tam Nguyen
core +1 more source