On minimal laminations of the torus
On minimal sets in 2-manifolds.
On natural invariant measures on generalised iterated function systems.
On one-parameter families of diffeomorphisms. II: Generic branching in higher dimensions
On peaks in carrying simplices
A necessary and sufficient condition is given for the carrying simplex of a dissipative totally competitive system of three ordinary differential equations to have a peak singularity at an axial equilibrium. For systems of Lotka-Volterra type that result translates into a simple condition on the coefficients.
On positively expansive differentiable maps
On Semi-Stability for Diffeomorphisms.
On simultaneous Abel equations.
On solutions of functional equations determining subsemigroups of L¹₄
Let L¹₄ be the group of 4-jets at zero of diffeomorphisms f of ℝ with f(0) = 0. Identifying jets with sequences of derivatives, we determine all subsemigroups of L¹₄ consisting of quadruples (x₁,f(x₁,x₄),g(x₁,x₄),x₄) ∈ (ℝ∖{0}) × ℝ³ with continuous functions f,g:(ℝ∖{0}) × ℝ → ℝ. This amounts to solving a set of functional equations.
On some properties of focal points.
On some results of Moser and of Bangert
On stability of C... mappings of manifolds with boundary.
On stability of forcing relations for multidimensional perturbations of interval maps
We show that all periods of periodic points forced by a pattern for interval maps are preserved for high-dimensional maps if the multidimensional perturbation is small. We also show that if an interval map has a fixed point associated with a homoclinic-like orbit then any small multidimensional perturbation has periodic points of all periods.
On stability zones for discrete-time periodic linear Hamiltonian systems.
On strongly Hausdorff flows
A flow of an open manifold is very complicated even if its orbit space is Hausdorff. In this paper, we define the strongly Hausdorff flows and consider their dynamical properties in terms of the orbit spaces. By making use of this characterization, we finally classify all the strongly Hausdorff -flows.
On symmetric logarithm and some old examples in smooth ergodic theory
We give a positive answer to the problem of existence of smooth weakly mixing but not mixing flows on some surfaces. More precisely, on each compact connected surface whose Euler characteristic is even and negative we construct smooth weakly mixing flows which are disjoint in the sense of Furstenberg from all mixing flows and from all Gaussian flows.
On the Birkhoff normal form of a completely integrable hamiltonian system near a fixed point with resonance
On the -stability conjecture
On the characterization of Hankel and Toeplitz operators describing switched linear dynamic systems with point delays.
On the classes of Lipschitz and smooth conjugacies of unimodal maps
Under very mild assumptions, any Lipschitz continuous conjugacy between the closures of the postcritical sets of two C¹-unimodal maps has a derivative at the critical point, and also on a dense set of its preimages. In a more restrictive situation of infinitely renormalizable maps of bounded combinatorial type the Lipschitz condition automatically implies the C¹-smoothness of the conjugacy. Here the critical degree can be any real number α > 1.