Results 21 to 30 of about 4,711,203 (306)
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.
Cappell, Sylvain +2 more
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Cohomology of D-complex manifolds [PDF]
, 2012 In order to look for a well-behaved counterpart to Dolbeault cohomology in D-complex geometry, we study the de Rham cohomology of an almost D-complex manifold and its subgroups made up of the classes admitting invariant, respectively anti-invariant ...
Daniele Angella +4 more
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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
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Computing one-dimensional global manifolds of Poincaré maps by continuation [PDF]
, 2005 We present an algorithm to compute one-dimensional stable and unstable manifolds of saddle periodic orbits in a Poincaré section. The computation is set up as a boundary value problem by restricting the beginning and end points of orbit segments to the ...
England, James +6 more
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Center Manifolds of Coupled Cell Networks [PDF]
SIAM Journal on Mathematical Analysis, 2017 Dynamical systems with a network structure can display anomalous bifurcations as a generic phenomenon. As an explanation for this it has been noted that homogeneous networks can be realized as quotient networks of so-called fundamental networks. The class of admissible vector fields for these fundamental networks is equal to the class of equivariant ...
Eddie Nijholt +2 more
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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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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
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Contraction centers in families of hyperkähler manifolds [PDF]
Selecta Mathematica, 2021 We study the exceptional loci of birational (bimeromorphic) contractions of a hyperkähler manifold $M$. Such a contraction locus is the union of all minimal rational curves in a collection of cohomology classes which are orthogonal to a wall of the Kähler cone.
Amerik, Ekaterina, Verbitsky, Misha
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Quasi-Kahler Chern-flat manifolds and complex 2-step nilpotent Lie algebras [PDF]
, 2012 The study of quasi-Kaehler Chern-flat almost Hermitian manifolds is strictly related to the study of anti-bi-invariant almost complex Lie algebras.
Lauret, J. +2 more
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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
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