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A Horseshoe with Positive Measure.

Rufus Bowen (1975)

Inventiones mathematicae

A note on LaSalle's problems

Anna Cima, Armengol Gasull, Francesc Mañosas (2001)

Annales Polonici Mathematici

In LaSalle's book "The Stability of Dynamical Systems", the author gives four conditions which imply that the origin of a discrete dynamical system defined on ℝ is a global attractor, and proposes to study the natural extensions of these conditions in ℝⁿ. Although some partial results are obtained in previous papers, as far as we know, the problem is not completely settled. In this work we first study the four conditions and prove that just one of them implies that the origin is a global attractor...

A proof existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems.

Guido Gentile (1995)

Forum mathematicum

Displaying 1 – 14 of 14

A Horseshoe with Positive Measure.

A note on LaSalle's problems

A proof existence of whiskered tori with quasi flat homoclinic intersections in a class of almost integrable hamiltonian systems.

A proof of the $C^{1}$ stability conjecture

A solution to the bidimensional global asymptotic stability conjecture

A sufficient condition for $Ω$ -stability of vector fields on open manifolds

A theorem on the structural stability of non-autonomous differential equations

Anosov endomorphisms

Asymmetric bound states of differential equations in nonlinear optics

Asymptotic behaviors of complex analytic dynamical systems.

Asymptotic properties of the Dulac map near a hyperbolic saddle in dimension three

Asymptotic stability for perturbed hamiltonian systems, II

Asymptotic stability of dynamical systems with multiplicative perturbations

Axiom A Actions.

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