Bifurcation and stability of families of hyperbolic vector fields in dimension three
Bifurcation de cycles limites au voisinage de polycycles hyperboliques et génériques à trois sommets
Bifurcation d'orbites homoclines pour les systèmes hamiltoniens
Bifurcation d'orbites périodiques d'un système hamiltonien au voisinage d'une position d'équilibre
Bifurcation of an invariant torus of a system of differential equations in the degenerate case.
Bifurcation of contracting singular cycles
Bifurcation of gradient mappings possessing the Palais-Smale condition.
Bifurcation of heteroclinic orbits for diffeomorphisms
The paper deals with the bifurcation phenomena of heteroclinic orbits for diffeomorphisms. The existence of a Melnikov-like function for the two-dimensional case is shown. Simple possibilities of the set of heteroclinic points are described for higherdimensional cases.
Bifurcation of periodic orbits of time dependent Hamiltonian systems on symplectic manifolds.
Bifurcation of solutions of separable parameterized equations into lines.
Bifurcation results for a class of perturbed Fredholm maps.
Bifurcation sequences in the dissipative systems with saddle equilibria
Bifurcation set and limit cycles forming compound eyes in a perturbed Hamiltonian system.
In this paper we consider a class of perturbation of a Hamiltonian cubic system with 9 finite critical points. Using detection functions, we present explicit formulas for the global and local bifurcations of the flow. We exhibit various patterns of compound eyes of limit cycles. These results are concerned with the weakened Hilbert's 16th problem posed by V. I. Arnold in 1977.
Bifurcation Theory for Symmetric Potential Operators and the Equvariant Cup-length.
Bifurcations and Attractors in Bogdanov Map
Bifurcations and global stability of families of gradients
Bifurcations and stability of families of diffeomorphisms
Bifurcations de points fixes elliptiques
Bifurcations de points fixes elliptiques - I. Courbes invariantes
Bifurcations de points fixes elliptiques. II. Orbites périodiques et ensembles de Cantor invariants.