A Closing Lemma on the Interval.
A note on the asymptotics of perturbed expanding maps.
A remark on expanding mappings
A theorem on the structural stability of non-autonomous differential equations
A thermodynamic approach to locally symmetric manifolds of higher rank
Absolute Stability and Bifurcation Theory.
An entropy for -actions with finite entropy generators
We study a definition of entropy for -actions (or -actions) due to S. Friedland. Unlike the more traditional definition, this is better suited for actions whose generators have finite entropy as single transformations. We compute its value in several examples. In particular, we settle a conjecture of Friedland [2].
Anosov endomorphisms
Anosov flows and non-Stein symplectic manifolds
We simplify and generalize McDuff’s construction of symplectic 4-manifolds with disconnected boundary of contact type in terms of the linking pairing defined on the dual of 3-dimensional Lie algebras. This leads us to an observation that an Anosov flow gives rise to a bi-contact structure, i.e. a transverse pair of contact structures with different orientations, and the construction turns out to work for 3-manifolds which admit Anosov flows with smooth invariant volume. Finally, new examples of...
Anosov Flows on New Three Manifolds.
Attractors and Inverse Limits.
This paper surveys some recent results concerning inverse limits of tent maps. The survey concentrates on Ingram’s Conjecture. Some motivation is given for the study of such inverse limits.
Averaging in dynamical systems and large deviations.
Axiom A Actions.
Bifurcation and stability of families of hyperbolic vector fields in dimension three
Braiding of the attractor and the failure of iterative algorithms.
-conjugacy of holomorphic flows near a singularity
Centralizers of Anosov diffeomorphisms on tori
Chaotisches Verhalten in einfachen Systemen.
Characterization of shadowing for linear autonomous delay differential equations
A well-known shadowing theorem for ordinary differential equations is generalized to delay differential equations. It is shown that a linear autonomous delay differential equation is shadowable if and only if its characteristic equation has no root on the imaginary axis. The proof is based on the decomposition theory of linear delay differential equations.
Closed orbits in homology classes