On a class of continuous flow.
On codimension one submersions of euclidean spaces.
On simultaneous Abel equations.
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 the construction of a -counterexample to the Hamiltonian Seifert conjecture in .
On the envelope of a vector field
Given a vector field X on an algebraic variety V over ℂ, I compare the following two objects: (i) the envelope of X, the smallest algebraic pseudogroup over V whose Lie algebra contains X, and (ii) the Galois pseudogroup of the foliation defined by the vector field X + d/dt (restricted to one fibre t = constant). I show that either they are equal, or the second has codimension one in the first.
On the Ergodicity of Frame Flows.
On the existence and non-existence of closed trajectories for some Hamiltonian flows.
On the instability of ground states for a Davey-Stewartson system
On the spectral flow and the index theorem for flat vector bundles
One sided branching in Anosov foliations.
One-dimensional chain recurrent sets of flows in the 2-sphere.
One-parameter families of brake orbits in dynamical systems
We give a clear and systematic exposition of one-parameter families of brake orbits in dynamical systems on product vector bundles (where the fiber has the same dimension as the base manifold). A generalized definition of a brake orbit is given, and the relationship between brake orbits and periodic orbits is discussed. The brake equation, which implicitly encodes information about the brake orbits of a dynamical system, is defined. Using the brake equation, a one-parameter family of brake orbits...
One-Parameter Flows with the Pseudo Orbit Tracing Property.