Search
Search Results
-
Reduction of a Tri-Modal Lorenz Model of Ferrofluid Convection to a Cubic–Quintic Ginzburg–Landau Equation Using the Center Manifold Theorem
The differential geometric method of the center manifold theorem is applied to the magnetic-Lorenz model of ferrofluid convection in an electrically...
-
Algorithms for Contractibility of Compressed Curves on 3-Manifold Boundaries
In this paper we prove that the problem of deciding contractibility of an arbitrary closed curve on the boundary of a 3-manifold is in NP . We...
-
-
Center manifolds for delay-differential equations with variable argument
For delay-differential equations with piecewise constant delay, we construct center invariant manifolds with the optimal regularity. More precisely,...
-
Talenti’s Comparison Theorem for Poisson Equation and Applications on Riemannian Manifold with Nonnegative Ricci Curvature
In this article, we prove Talenti’s comparison theorem for Poisson equation on complete noncompact Riemannian manifold with nonnegative Ricci...
-
Non-linear Manifold Reduced-Order Models with Convolutional Autoencoders and Reduced Over-Collocation Method
Non-affine parametric dependencies, nonlinearities and advection-dominated regimes of the model of interest can result in a slow Kolmogorov n-width...
-
Strange Operator in Homogenization of the Diffusion Equation in a Domain Perforated Along of a Manifold with Dynamic Signorini Condition on Perforation Boundary. Critical Case
We study the homogenization problem for the Poisson equation in a domain perforated along a manifold with the dynamic Signorini boundary condition on...
-
-
Estimates for Local Approximations of Functions on Differential Manifold
We obtain an estimate for the convergence rate of approximation of functions on a differentiable manifold We consider two approaches to approximation...
-
Recognizing the G2-horospherical Manifold of Picard Number 1 by Varieties of Minimal Rational Tangents
Pasquier and Perrin discovered that the G 2 -horospherical manifold X of Picard number 1 can be realized as a smooth specialization of the rational...
-
Bifurcation of Limit Cycles and Isochronous Centers on Center Manifolds for a Class of Cubic Kolmogorov Systems in \({\mathbb {R}}^{3}\)
Our work is concerned with the number of limit cycles and isochronous center conditions for a class of three-dimensional cubic Kolmogorov systems...
-
Bifurcation of Piecewise Smooth Manifolds from 3D Center-Type Vector Fields
The main goal of this paper is to study the existence of two dimensional piecewise smooth invariant manifolds under small piecewise smooth...
-
Manifold Regularization Nonnegative Triple Decomposition of Tensor Sets for Image Compression and Representation
The image processing usually depends on exploring the structure and the geometric information of the tensor objects generated by image data. In the...
-
Towards a Machine Learning Pipeline in Reduced Order Modelling for Inverse Problems: Neural Networks for Boundary Parametrization, Dimensionality Reduction and Solution Manifold Approximation
In this work, we propose a model order reduction framework to deal with inverse problems in a non-intrusive setting. Inverse problems, especially in...
-
Prerequisite Concepts of Algebra, Topology, Manifold and Category Theory
This chapter conveys a few basic concepts of algebra, topology, manifold and category theory for smooth study of Volume 3 of the present book series....
-
Greedy Kernel Methods for Center Manifold Approximation
For certain dynamical systems it is possible to significantly simplify the study of stability by means of the center manifold theory. This theory...
-
A convergence analysis of a family of third order iterative methods in Riemannian manifold
In this paper we use a family of third order iterative methods to find singular points on complete Riemannian manifolds. This family of root-finding...