Period doubling bifurcations in a two-box model of the Brusselator
Two theorems about period doubling bifurcations are proved. A special case, where one multiplier of the homogeneous solution is equal to +1 is discussed in the Appendix.
Periodic and heteroclinic orbits for a periodic hamiltonian system
Periodic bounce trajectories with a low number of bounce points
Periodic orbits of maps with an infinite number of partition points.
Periodic points of linked twist mappings
Periodic solutions near an equilibrium of a differential equation with a first integral
Periodic solutions of a non coercive Hamiltonian system.
Periodic Solutions of Hamiltonian Systems on Hypersurfaces in Torus.
Periodic solutions of non-autonomous Hamiltonian systems with symmetries.
Periodic Solutions of Second Order Nonautonomous Systems with the Potentials Changing Sign
Some existence and multiplicity results for periodic solutions of second order nonautonomous systems with the potentials changing sign are presented. The proofs of the existence results rely on the use of a linking theorem and the Mountain Pass theorem by Ambrosetti and Rabinowitz [2]. The multiplicity results are deduced by the study of constrained critical points of minimum or Mountain Pass type.
Periodic solutions of some problems of 3-body type
Periodic Solutions on hypersurfaces and a result by C. Viterbo.
Periodic solutions with prescribed minimal period for convex autonomous hamiltonian systems.
Persistent homoclinic tangencies and the unfolding of cycles
Perturbation results for a class of singular Hamiltonian systems
The existence of solutions with prescribed period for a class of Hamiltonian systems with a Keplerian singularity is discussed.
Perturbazioni periodiche di equazioni differenziali ordinarie su varietà differenziabili
Poincaré-Melnikov theory for n-dimensional diffeomorphisms
We consider perturbations of n-dimensional maps having homo-heteroclinic connections of compact normally hyperbolic invariant manifolds. We justify the applicability of the Poincaré-Melnikov method by following a geometric approach. Several examples are included.
Problèmes de modules pour des équations différentielles non linéaires du premier ordre
Properties of Pseudo-holomorphic Curves in Symplectisations II: Embedding Controls and Algebraic Invariants.