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Topological properties of prolongations and stable sets for semigroup actions
(Elsevier B.V., 2021-03-15)
In this paper we study topological properties of Lyapunov stable sets for semigroup actions on Tychonoff spaces. We show that the stability and the asymptotical stability of a compact set is characterized by the stability ...
Propriedades de um homeomorfismo GH estávelProperties of a stable GH homeomorphism
(Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Matemática, 2018)
Smoothness of topological equivalence on the half line for nonautonomous systems
(Cambridge University Press, 2020)
We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we ...
A simple topology-based model for predicting the activation barriers of reactive processes at 0 K
(Royal Society of Chemistry, 2023-05)
This work reveals an underlying correlation between the topology and energetic features of matter configurations/rearrangements by exploiting two topological concepts, namely, structural stability and persistency, leading ...
Topological equivalence of nonautonomous difference equations with a family of dichotomies on the half line
(Amer Inst Mathematical Sciences-AIMS, 2021)
A linear system of di erence equations and a nonlinear perturbation
are considered, we obtain su cient conditions to ensure the topological
equivalence between them, namely, the linear part satis es a property of ...
A note on the application of wazewski’s topological method to an integro: differential equation of volterra type
(Scholars Academic and Scientific Publishers, 2015-11)
The purpose of this note is to generalize the Wazewski’s Topological Method 11, originally stated for ordinary differential equations, to the integro – differential equation of Volterra type (1), under suitable conditions ...
Smoothness of topological equivalence on the half line for nonautonomous systems.
(Cambridge University Press, 2019)
We study the differentiability properties of the topological equivalence between a uniformly asymptotically stable linear nonautonomous system and a perturbed system with suitable nonlinearities. For this purpose, we ...
Topological Structural Stability of Partial Differential Equations on Projected Spaces
(2018-06-01)
In this paper we study topological structural stability for a family of nonlinear semigroups Th(·) on Banach space Xh depending on the parameter h. Our results shows the robustness of the internal dynamics and characterization ...
VECTOR FIELDS TANGENT TO FOLIATIONS
(Cambridge University Press, 2008-10-01)
We investigate in this paper the topological stability of pairs (omega, X), where w is a germ of an integrable 1-form and X is a germ of a vector field tangent to the foliation determined by omega.
VECTOR FIELDS TANGENT TO FOLIATIONS
(Cambridge University Press, 2008-10-01)
We investigate in this paper the topological stability of pairs (omega, X), where w is a germ of an integrable 1-form and X is a germ of a vector field tangent to the foliation determined by omega.