The explosion of singular cycles
The index of a vector field tangent to a hypersurface and the signature of the relative jacobian determinant
Given a real analytic vector field tangent to a hypersurface with an algebraically isolated singularity we introduce a relative Jacobian determinant in the finite dimensional algebra associated with the singularity of the vector field on . We show that the relative Jacobian generates a 1-dimensional non-zero minimal ideal. With its help we introduce a non-degenerate bilinear pairing, and its signature measures the size of this point with sign. The signature satisfies a law of conservation of...
The number of buckled states of circular plates
The Rotating String.
The unfoldings of a germ of vector fields in the plane with a singularity of codimension 3
The Weinstein conjecture in cotangent bundles and related results
There are Two Isotopic Morse-Smale Diffeomorphisms Which Cannot be Joined by Simple Arcs.
Topological Classification and Bifurcations of Holomorphic Flows with Resonances in ...2.
Un invariant de conjugaison pour certaines familles à un paramètre de champs de vecteurs ou de difféomorphismes
Un puente entre una ecuación diferencial ordinaria y un sistema dinámico discreto vía ecuaciones diferenciales con retardo.
Universality and scaling in networks of period-doubling maps with a pacemaker.
Vecteurs propres de matrices de Jacobi
On montre que l’ensemble des matrices tridiagonales périodiques symétriques de spectre fixé possède une direction tangente privilégiée, construite à l’aide des vecteurs propres des matrices et de la jacobienne d’une courbe hyperelliptique. Il se trouve que cette direction est celle du célèbre flot de Toda périodique.
Versal deformations of -invariant 2-parameter families of planar vector fields
The paper deals with 2-parameter families of planar vector fields which are invariant under the group for q ≥ 3. The germs at z = 0 of such families are studied and versal families are found. We also give the phase portraits of the versal families.
Изохронность и коммутируемость полиномиальных векторных полей.
О версальности одного семейства симетричных векторных полей на плоскости
О новом типе бифуркаций на многообразиях
О системах с гомоклинической кривой седло-фокуса
Особенности полей предельных направлений двумерных управляемых систем