Semihyperbolic dynamical systems generated by Lipschitz mappings are investigated. A special form of robustness of topological entropy under perturbations of a Semihyperbolic mapping is discussed, and weakened forms of persistence and of structural stability are considered. Proofs are based on the concept of bi-shadowing, which is a stronger version of the shadowing lemma
AMS Subject Classification 58F15 1 Introduction Computer simulations provide much practical informa...
2007 We introduce a new hyperbolicity condition for set-valued dynam-ical systems and show that this...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
The definition of semi-hyperbolic dynamical systems generated by Lipschitz continuous and not necess...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
Semi-hyperbolic dynamical systems generated by Lipschitz mappings are shown to be exponentially expa...
By the Shadowing Lemma we can shadow any sufficient accurate pseudo-trajectory of a hyperbolic syste...
In this note we consider random C (0) homeomorphism perturbations of a hyperbolic set of a C (1) dif...
We extend some known results from smooth dynamical systems to the category of Lipschitz homeomorphis...
AbstractSemi-hyperbolic mappings in Banach spaces are Lipschitz continuous and not necessarily inver...
We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metri...
It is shown how known results for autonomous difference equations can be adapted to definitions of s...
In a series of three papers, we study the geometrical and statistical structure of a class of couple...
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and ...
For any θ, ω> 1/2 we prove that, if any d-pseudotrajectory of length ∼ 1/dω of a diffeomorphism f...
AMS Subject Classification 58F15 1 Introduction Computer simulations provide much practical informa...
2007 We introduce a new hyperbolicity condition for set-valued dynam-ical systems and show that this...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
The definition of semi-hyperbolic dynamical systems generated by Lipschitz continuous and not necess...
Focusing on the theory of shadowing of approximate trajectories (pseudotrajectories) of dynamical sy...
Semi-hyperbolic dynamical systems generated by Lipschitz mappings are shown to be exponentially expa...
By the Shadowing Lemma we can shadow any sufficient accurate pseudo-trajectory of a hyperbolic syste...
In this note we consider random C (0) homeomorphism perturbations of a hyperbolic set of a C (1) dif...
We extend some known results from smooth dynamical systems to the category of Lipschitz homeomorphis...
AbstractSemi-hyperbolic mappings in Banach spaces are Lipschitz continuous and not necessarily inver...
We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metri...
It is shown how known results for autonomous difference equations can be adapted to definitions of s...
In a series of three papers, we study the geometrical and statistical structure of a class of couple...
This is a graduate text in differentiable dynamical systems. It focuses on structural stability and ...
For any θ, ω> 1/2 we prove that, if any d-pseudotrajectory of length ∼ 1/dω of a diffeomorphism f...
AMS Subject Classification 58F15 1 Introduction Computer simulations provide much practical informa...
2007 We introduce a new hyperbolicity condition for set-valued dynam-ical systems and show that this...
AbstractLet ϕ be the flow generated by a smooth vector field X on a smooth closed manifold. We show ...
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