Heteroclinic orbits, mobility parameters and stability for thin film type equations.
Heteroclinic points of multi-dimensional dynamical systems.
Heteroclinic solutions for perturbed second order systems
The existence of infinitely many heteroclinic orbits implying a chaotic dynamics is proved for a class of perturbed second order Lagrangian systems possessing at least 2 hyperbolic equilibria.
Heterodimensional cycles, partial hyperbolicity and limit dynamics
We study one-parameter families of diffeomorphisms unfolding heterodimensional cycles (i.e. cycles containing periodic points of different indices). We construct an open set of such arcs such that, for a subset of the parameter space with positive relative density at the bifurcation value, the resulting nonwandering set is the disjoint union of two hyperbolic basic sets of different indices and a strong partially hyperbolic set which is robustly transitive. The dynamics of the diffeomorphisms we...
Heterogeneous traders, price-volume signals, and complex asset price dynamics.
Hidden symmetries of integrable systems in Yang-Mills theory and Kähler geometry
Hierarchy of integrable geodesic flows.
A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodesically equivalent metrics.
High dimension diffeomorphisms exhibiting infinitely many strange attractors
Higher dimensional Melnikov mappings
Higher order branching of periodic orbits from polynomial isochrones.
Higher order Poincaré-Pontryagin functions and iterated path integrals
Higher order Schwarzian derivatives in interval dynamics
We introduce an infinite sequence of higher order Schwarzian derivatives closely related to the theory of monotone matrix functions. We generalize the classical Koebe lemma to maps with positive Schwarzian derivatives up to some order, obtaining control over derivatives of high order. For a large class of multimodal interval maps we show that all inverse branches of first return maps to sufficiently small neighbourhoods of critical values have their higher order Schwarzian derivatives positive up...
Higher period stochastic bifurcation of nonlinear airfoil fluid-structure interaction.
Higher-order equations of the KdV type are integrable.
Higher-order KdV-type equations and their stability.
Higher-order Melnikov functions for single-DOF mechanical oscillators: theoretical treatment and applications.
Highest Weight Modules of W1+∞, Darboux Transformations and the Bispectral Problem
This paper is a survey of our recent results on the bispectral problem. We describe a new method for constructing bispectral algebras of any rank and illustrate the method by a series of new examples as well as by all previously known ones. Next we exhibit a close connection of the bispectral problem to the representation theory of W1+∞–algerba. This connection allows us to explain and generalise to any rank the result of Magri and Zubelli on the symmetries of the manifold of the bispectral operators...
High-order phase transitions in the quadratic family
We give the first example of a transitive quadratic map whose real and complex geometric pressure functions have a high-order phase transition. In fact, we show that this phase transition resembles a Kosterlitz-Thouless singularity: Near the critical parameter the geometric pressure function behaves as near , before becoming linear. This quadratic map has a non-recurrent critical point, so it is non-uniformly hyperbolic in a strong sense.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part I.
Hofer's L...-geometry: energy and stability of Hamiltonian flows, part II.