Results 1 to 10 of about 67,777,095 (214)

Global Persistence of the Unit Eigenvectors of Perturbed Eigenvalue Problems in Hilbert Spaces: The Odd Multiplicity Case

Mathematics, 2021
We study the persistence of eigenvalues and eigenvectors of perturbed eigenvalue problems in Hilbert spaces. We assume that the unperturbed problem has a nontrivial kernel of odd dimension and we prove a Rabinowitz-type global continuation result.
Pierluigi Benevieri, Alessandro Calamai, Massimo Furi, Maria Patrizia Pera   +3 more
doaj   +1 more source

On the uniqueness of the fixed point index on differentiable manifolds

Fixed Point Theory and Applications, 2004
It is well known that some of the properties enjoyed by the fixed point index can be chosen as axioms, the choice depending on the class of maps and spaces considered.
Marco Spadini, Maria Patrizia Pera, Massimo Furi   +2 more
doaj   +2 more sources

Local invariant manifolds for delay differential equations with state space in $C^1((-\infty,0],\mathbb{R}^n)$

Electronic Journal of Qualitative Theory of Differential Equations, 2016
Consider the delay differential equation $x'(t)=f(x_t)$ with the history $x_t:(-\infty,0]\to\mathbb{R}^n$ of $x$ at 'time' $t$ defined by $x_t(s)=x(t+s)$. In order not to lose any possible entire solution of any example we work in the Fréchet space $C^1((
Hans-Otto Walther
doaj   +1 more source

Manifold topological deep learning for biomedical data. [PDF]

Nat Commun
Liu X, Su Z, Shi Y, Tong Y, Wang G, Wei GW.   +5 more
europepmc   +1 more source

Stability of Minkowski-type inequalities in certain warped product spaces. [PDF]

J Evol Equ
Sahjwani P.
europepmc   +1 more source

Toward nonlinear representations with Gaussian-splat manifolds for physics-informed learning. [PDF]

Nat Commun
Han X, Chen K, Wang R, Wei G, Han L, Gao H.   +5 more
europepmc   +1 more source

Physics-informed differentiable solvers for learning parametric solution manifolds in heterogeneous physical systems. [PDF]

PNAS Nexus
Panahi M, Porta GM, Riva M, Guadagnini A.   +3 more
europepmc   +1 more source

Thermodynamics à la Souriau on Kähler Non-Compact Symmetric Spaces for Cartan Neural Networks. [PDF]

Entropy (Basel)
Fré PG, Sorin AS, Trigiante M.
europepmc   +1 more source

Sequential submodular feature-sample selection for lightweight and update-efficient IoT intrusion detection. [PDF]

Sci Rep
Amr MN, Elliethy A, Mekkawy T, Mahran A.
europepmc   +1 more source

Geometric Neural Ordinary Differential Equations: From Manifolds to Lie Groups. [PDF]

Entropy (Basel)
Wotte YP, Califano F, Stramigioli S.
europepmc   +1 more source