Let M be a closed, symplectic connected Riemannian manifold and f a symplectomorphism on M. We prove that if f is C1-stably weak shadowable on M, then the whole manifold M admits a partially hyperbolic splitting.info:eu-repo/semantics/publishedVersio
For any θ, ω> 1/2 we prove that, if any d-pseudotrajectory of length ∼ 1/dω of a diffeomorphism f...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
This article is a follow up of our recent works [7, 8], and here we discuss the relation between th...
Abstract. Let f be a diffeomorphism of a closed C ∞ three-dimensional man-ifold. In this paper, we i...
We prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact ...
AbstractLet f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. D...
We call a property is a stable (or robust) property if it holds for a system as well as all nearby s...
Let f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. Denote C(...
Abstract. We prove that a Hamiltonian system H ∈ C2(M,R) is globally hyperbolic if any of the follow...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a comp...
We prove that a Hamiltonian system H \in C^2(M,R) is globally hyperbolic if any of the following sta...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
Let (M, Ω) be a smooth symplectic manifold and f:M→M be a symplectic diffeomorphism of class Cl (l⩾3...
For any θ, ω> 1/2 we prove that, if any d-pseudotrajectory of length ∼ 1/dω of a diffeomorphism f...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
This article is a follow up of our recent works [7, 8], and here we discuss the relation between th...
Abstract. Let f be a diffeomorphism of a closed C ∞ three-dimensional man-ifold. In this paper, we i...
We prove that any C1-stable weakly shadowable volume-preserving diffeomorphism defined on a compact ...
AbstractLet f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. D...
We call a property is a stable (or robust) property if it holds for a system as well as all nearby s...
Let f be a diffeomorphism on a closed manifold, and p be a hyperbolic periodic point of f. Denote C(...
Abstract. We prove that a Hamiltonian system H ∈ C2(M,R) is globally hyperbolic if any of the follow...
Let f be a diffeomorphism of a closed n-dimensional C-infinity manifold, and p be a hyperbolic saddl...
Abstract. Let f be a diffeomorphism on a closed manifoldM, and let p ∈M be a hyperbolic periodic poi...
We prove that every robustly transitive and every stably ergodic symplectic diffeomorphism on a comp...
We prove that a Hamiltonian system H \in C^2(M,R) is globally hyperbolic if any of the following sta...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
Let (M, Ω) be a smooth symplectic manifold and f:M→M be a symplectic diffeomorphism of class Cl (l⩾3...
For any θ, ω> 1/2 we prove that, if any d-pseudotrajectory of length ∼ 1/dω of a diffeomorphism f...
Abstract. In this article, we give a characterization of two-sided limit shad-owing property for hom...
This article is a follow up of our recent works [7, 8], and here we discuss the relation between th...
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