The abundance of wild hyperbolic sets and non-smooth stable sets for diffeomorphisms
The interior of zero entropy diffeomorphisms.
The discovery of Smale horseshoe for dynamical system generated by autogenerator with tunnel diode
The Dynamical Complexity of Orientation Reversing Homeomorphisms of Surfaces.
The homotopy class of non-singular Morse-Smale vector fields on 3-manifolds.
The Periodic Behavior of Morse-Smale Diffeomorphisms.
The periodic structure of non-singular Morse-Smale flows.
There are Two Isotopic Morse-Smale Diffeomorphisms Which Cannot be Joined by Simple Arcs.
Topological conjugacy of cascades generated by gradient flows on the two-dimensional sphere
This article presents a theorem about the topological conjugacy of a gradient dynamical system with a constant time step and the cascade generated by its Euler method. It is shown that on the two-dimensional sphere S² the gradient dynamical flow is, under some natural assumptions, correctly reproduced by the Euler method for a sufficiently small time step. This means that the time-map of the induced dynamical system is globally topologically conjugate to the discrete dynamical system obtained via...