Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This
book is a state-of-the-art account, covering classical and new results. The volume comprises …

Approach your problems from the right end It isn't that they can't see the solution. It is and
begin with the answers. Then one day, that they can't see the problem. perhaps you will find …

In this article some qualitative and geometric aspects of non-smooth dynamical systems
theory are discussed. The main aim of this article is to develop a systematic method for …

Non-smooth dynamical system Systems derived from ordinary differential equations when
the non-uniqueness of solutions is allowed. In this article we deal with discontinuous vector …

Abstract CONTENTS Introduction Chapter I. Development of the Poincaré-Bendixson theory
for flows on closed two-dimensional manifolds § 1. Possible types of trajectories. Singular …

This paper deals with a class of vector fields which emerges from differential equations on
R” with discontinuous right-hand side. In our approach we assume that these discontinuities …

In planar analytic vector fields, a monodromic singularity can be distinguished between a
focus or a center by means of the Lyapunov coefficients, which are given in terms of the …

In application of dynamical systems, we are often interested in the motion in a compact
subset of Euclidean space or possibly of a torus cross a Euclidean space. The natural way to …

PHYSICA D Page 1 ELSEVIER Physica D 100 (1997) 101-118 PHYSICA D Singularities of
reversible vector fields Marco Antonio Teixeira 1 Mathematics Department, IMECC- UNICAMP …

The aim of this paper is to provide a discussion on the current directions of research
involving typical singularities of 3 D nonsmooth vector fields. A brief survey of known results …