Hyperbolic dynamics of Euler-Lagrange flows on prescribed energy levels
Hyperbolic homeomorphisms and bishadowing
Hyperbolic homeomorphisms on compact manifolds are shown to have both inverse shadowing and bishadowing properties with respect to a class of δ-methods which are represented by continuous mappings from the manifold into the space of bi-infinite sequences in the manifold with the product topology. Topologically stable homeomorphisms and expanding mappings are also considered.
Hyperbolic measure of maximal entropy for generic rational maps of
Let be a dominant rational map of such that there exists with for all . Under mild hypotheses, we show that, for outside a pluripolar set of , the map admits a hyperbolic measure of maximal entropy with explicit bounds on the Lyapunov exponents. In particular, the result is true for polynomial maps hence for the homogeneous extension of to . This provides many examples where non uniform hyperbolic dynamics is established.One of the key tools is to approximate the graph of a meromorphic...
Hyperbolic sets with the strong limit shadowing property.
Hyperbolic systems on nilpotent covers
We study the ergodicity of the weak and strong stable foliations of hyperbolic systems on nilpotent covers. Subshifts of finite type and geodesic flows on negatively curved manifolds are also considered.
Hyperbolicité des polynômes fibrés
Hyperbolicity in a class of one-dimensional maps.
In this paper we provide a direct proof of hyperbolicity for a class of one-dimensional maps on the unit interval. The maps studied are degenerate forms of the standard quadratic map on the interval. These maps are important in understanding the Newhouse theory of infinitely many sinks due to homoclinic tangencies in two dimensions.
Hyperbolicity of renormalization of critical circle maps
Hyperbolicity, stability, and the criterion of homoclinic points.
Hyper-dependence, hyper-ageing properties and analogies between them: a semigroup-based approach
In previous papers, evolution of dependence and ageing, for vectors of non-negative random variables, have been separately considered. Some analogies between the two evolutions emerge however in those studies. In the present paper, we propose a unified approach, based on semigroup arguments, explaining the origin of such analogies and relations among properties of stochastic dependence and ageing.
Hyper-Lie Poisson structures
Hypersurface geometry and Hamiltonian systems of hydrodynamic type.
Hypersurfaces Levi-plates immergées dans les surfaces complexes de courbure positive
Hypertranscendency of conjugacies in complex dynamics.
Hysteresis nonlinearity identification using new Preisach model-based artificial neural network approach.