AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show that the Lipschitz shadowing property of ϕ is equivalent to the structural stability of X and that the Lipschitz periodic shadowing property of ϕ is equivalent to the Ω-stability of X
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...
Abstract. In this paper, we give a characterization of the structurally stable vector fields via the...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
We prove that Lipschitz inverse shadowing for nonsingular flows is equivalent to structural stabilit...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
In this article we approach some of the basic questions in topological dynamics, concerning periodi...
Abstract. In this paper we give a characterization of the structurally stable vector fields via the ...
We prove that chaotic flows (i.e. flows that satisfy the shadowing property and have a dense subset ...
AbstractLet X be a C1 vector field without singularities. In this paper, we show that X is in the C1...
AbstractWe give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields...
We prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing proper...
Abstract. We define continuous and inverse shadowing for flows and prove some properties. In particu...
In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov...
Semihyperbolic dynamical systems generated by Lipschitz mappings are investigated. A special form of...
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...
Abstract. In this paper, we give a characterization of the structurally stable vector fields via the...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
We prove that Lipschitz inverse shadowing for nonsingular flows is equivalent to structural stabilit...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
In this article we approach some of the basic questions in topological dynamics, concerning periodi...
Abstract. In this paper we give a characterization of the structurally stable vector fields via the ...
We prove that chaotic flows (i.e. flows that satisfy the shadowing property and have a dense subset ...
AbstractLet X be a C1 vector field without singularities. In this paper, we show that X is in the C1...
AbstractWe give a description of the C1-interior (Int1(OrientSh)) of the set of smooth vector fields...
We prove that the geodesic flow on closed surfaces displays a hyperbolic set if the shadowing proper...
Abstract. We define continuous and inverse shadowing for flows and prove some properties. In particu...
In this paper, we show that for generic C1, if a flow Xt has the shadowing property on a bi-Lyapunov...
Semihyperbolic dynamical systems generated by Lipschitz mappings are investigated. A special form of...
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...
Abstract. In this paper, we give a characterization of the structurally stable vector fields via the...