Add to ORKGAbstract. In this paper, we give a characterization of the structurally stable vector fields via the notion of orbital inverse shadowing. More pre-cisely, it is proved that the C1 interior of the set of C1 vector fields with the orbital inverse shadowing property coincides with the set of struc-turally stable vector fields. This fact improves the main result obtained by K. Moriyasu et al. in [15]. 1
Estudamos uma classe de campos de vetores seccionalmente lineares no plano denotada por X. Tais camp...
Abstract. A topological invariant, the community transition graph, is intro-duced for dissipative ve...
We prove that Lipschitz inverse shadowing for nonsingular flows is equivalent to structural stabilit...
Abstract. In this paper we give a characterization of the structurally stable vector fields via the ...
AbstractLet X be a C1 vector field without singularities. In this paper, we show that X is in the C1...
We call that a vector field has the oriented shadowing property if for any there is such that each -...
AbstractWe give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields...
AbstractIn this paper, the C1 interior of the set of vector fields whose integrated flows are expans...
In this paper, the Cl interior of the set of vector fields whose integrated flows are expansive is c...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
We call that a flow has the orbital shadowing property if for any 8 > 0 there is d > 0 such th...
AbstractFrom the structural stability viewpoint vector fields on M which are tangent to the boundary...
The Poincare-Hopf theorem tells us that given a smooth, structurally stable vector field on a surfac...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
AbstractStability and genericity properties established for polynomial vector fields in the plane, e...
Estudamos uma classe de campos de vetores seccionalmente lineares no plano denotada por X. Tais camp...
Abstract. A topological invariant, the community transition graph, is intro-duced for dissipative ve...
We prove that Lipschitz inverse shadowing for nonsingular flows is equivalent to structural stabilit...
Abstract. In this paper we give a characterization of the structurally stable vector fields via the ...
AbstractLet X be a C1 vector field without singularities. In this paper, we show that X is in the C1...
We call that a vector field has the oriented shadowing property if for any there is such that each -...
AbstractWe give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields...
AbstractIn this paper, the C1 interior of the set of vector fields whose integrated flows are expans...
In this paper, the Cl interior of the set of vector fields whose integrated flows are expansive is c...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
We call that a flow has the orbital shadowing property if for any 8 > 0 there is d > 0 such th...
AbstractFrom the structural stability viewpoint vector fields on M which are tangent to the boundary...
The Poincare-Hopf theorem tells us that given a smooth, structurally stable vector field on a surfac...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
AbstractStability and genericity properties established for polynomial vector fields in the plane, e...
Estudamos uma classe de campos de vetores seccionalmente lineares no plano denotada por X. Tais camp...
Abstract. A topological invariant, the community transition graph, is intro-duced for dissipative ve...
We prove that Lipschitz inverse shadowing for nonsingular flows is equivalent to structural stabilit...