Persistance d'intersection avec la section nulle au cours d'une isotopie hamiltonienne dans un fibre cotangent.
Persistence in ratio-dependent models of consumer-resource dynamics.
Persistence of fixed points under rigid perturbations of maps
Let f: S¹ × [0,1] → S¹ × [0,1] be a real-analytic diffeomorphism which is homotopic to the identity map and preserves an area form. Assume that for some lift f̃: ℝ × [0,1] → ℝ × [0,1] we have Fix(f̃) = ℝ × 0 and that f̃ positively translates points in ℝ × 1. Let be the perturbation of f̃ by the rigid horizontal translation (x,y) ↦ (x+ϵ,y). We show that for all ϵ > 0 sufficiently small. The proof follows from Kerékjártó’s construction of Brouwer lines for orientation preserving homeomorphisms...
Persistence of homoclinic tangencies for area-preserving maps
Persistence of invariant manifolds for perturbations of semiflows with symmetry.
Persistent homoclinic tangencies and the unfolding of cycles
Persistent rotation intervals for old maps
Perturbation by analytic discs along maximal real submanifolds of CN.
Perturbation of a solitary wave of the nonlinear Klein-Gordon equation.
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.
Perturbation theory and discrete Hamiltonian dynamics.
Perturbations of flexible Lattès maps
We prove that any Lattès map can be approximated by strictly postcritically finite rational maps which are not Lattès maps.
Perturbations of quadratic hamiltonian systems with symmetry
Perturbations of stable invariant tori for hamiltonian systems
Perturbations of Systems Describing the Motion of a Particle in Central Fields
The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
Perturbations of the harmonic map equation
We consider perturbations of the harmonic map equation in the case where the source and target manifolds are closed riemannian manifolds and the latter is in addition of nonpositive sectional curvature. For any semilinear and, under some extra conditions, quasilinear perturbation, the space of classical solutions within a homotopy class is proved to be compact. For generic perturbations the set of solutions is finite and we present a count of this set. An important ingredient for our analysis is...
Perturbations of the spherical pendulum and Abelian integrals.
Perturbative computation of analytic invariants of resonant diffeomorphisms of
Perturbazioni periodiche di equazioni differenziali ordinarie su varietà differenziabili
Pesin theory and equilibrium measures on the interval
We use Pesin theory to study possible equilibrium measures for a broad class of piecewise monotone maps of the interval and a broad class of potentials.