Add to ORKGThe paper shows that normally hyperbolic one-dimensional compact attractors of smooth dynamical systems are characterized by differential positivity, that is, the pointwise infinitesimal contraction of a smooth cone field. The result is analog to the characterization of zero-dimensional hyperbolic attractors by differential stability, which is the pointwise infinitesimal contraction of a Riemannian metric
We consider a smooth one-parameter family t bar right arrow (f(t) : M -> M) of diffeomorphisms with ...
This paper is devoted to the study of global attractors of a class of singularly perturbed scalar pa...
AbstractIn order to show that the standard partially dissipative Hodgkin–Huxley system approximates ...
We consider a generalized notion of differential positivity of a dynamical system with respect to co...
Differentially positive systems are systems whose linearization along trajectories is positive. Unde...
Dynamical systems whose linearizations along trajectories are positive in the sense that they infini...
Differential positivity of a dynamical system refers to the property that its linearization along tr...
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems...
The autonomous system of the differential equations with continuous-differentiated right part is con...
We consider a $C^1$ hyperbolic attractor, and prove the existence of a physic measure provided that ...
Recent developments in the area of long time behavior of nonlinear hyperbolic flows will be presente...
A new definition of the stability of ordinary differential equations is proposed as an alternative t...
We study the stability of attractors under non-autonomous perturbations that are uniformly small in ...
The paper studies differentially positive systems, that is, systems whose linearization along an arb...
We introduce a class of endomorphisms which are piecewise smooth and have hyperbolic attractors. Thi...
We consider a smooth one-parameter family t bar right arrow (f(t) : M -> M) of diffeomorphisms with ...
This paper is devoted to the study of global attractors of a class of singularly perturbed scalar pa...
AbstractIn order to show that the standard partially dissipative Hodgkin–Huxley system approximates ...
We consider a generalized notion of differential positivity of a dynamical system with respect to co...
Differentially positive systems are systems whose linearization along trajectories is positive. Unde...
Dynamical systems whose linearizations along trajectories are positive in the sense that they infini...
Differential positivity of a dynamical system refers to the property that its linearization along tr...
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems...
The autonomous system of the differential equations with continuous-differentiated right part is con...
We consider a $C^1$ hyperbolic attractor, and prove the existence of a physic measure provided that ...
Recent developments in the area of long time behavior of nonlinear hyperbolic flows will be presente...
A new definition of the stability of ordinary differential equations is proposed as an alternative t...
We study the stability of attractors under non-autonomous perturbations that are uniformly small in ...
The paper studies differentially positive systems, that is, systems whose linearization along an arb...
We introduce a class of endomorphisms which are piecewise smooth and have hyperbolic attractors. Thi...
We consider a smooth one-parameter family t bar right arrow (f(t) : M -> M) of diffeomorphisms with ...
This paper is devoted to the study of global attractors of a class of singularly perturbed scalar pa...
AbstractIn order to show that the standard partially dissipative Hodgkin–Huxley system approximates ...