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.
Phase multistability of synchronous chaotic oscillations.
Phase synchronization in coupled Sprott chaotic systems presented by fractional differential equations.
Phase transition in dynamical systems: defining classes of universality for two-dimensional Hamiltonian mappings via critical exponents.
Phenomena in rank-one ℤ²-actions
We present an example of a rank-one partially mixing ℤ²-action which possesses a non-rigid factor and for which the Weak Closure Theorem fails. This is in sharp contrast to one-dimensional actions, which cannot display this type of behavior.
Physical measures for infinite-modal maps
We analyze certain parametrized families of one-dimensional maps with infinitely many critical points from the measure-theoretical point of view. We prove that such families have absolutely continuous invariant probability measures for a positive Lebesgue measure subset of parameters. Moreover, we show that both the density of such a measure and its entropy vary continuously with the parameter. In addition, we obtain exponential rate of mixing for these measures and also show that they satisfy the...
Piecewise-deterministic Markov processes
Poisson driven stochastic differential equations on a separable Banach space are examined. Some sufficient conditions are given for the asymptotic stability of a Markov operator P corresponding to the change of distribution from jump to jump. We also give criteria for the continuous dependence of the invariant measure for P on the intensity of the Poisson process.
Pinceaux linéaires de feuilletages sur CP(3) et conjecture de Brunella.
The general element of a pencil of Cod 1 foliation in CP(3) either has an invariant surface or contains a subfoliation by algebraic curves.
Planar Lorentz process in a random scenery
We consider the periodic planar Lorentz process with convex obstacles (and with finite horizon). In this model, a point particle moves freely with elastic reflection at the fixed convex obstacles. The random scenery is given by a sequence of independent, identically distributed, centered random variables with finite and non-null variance. To each obstacle, we associate one of these random variables. We suppose that each time the particle hits an obstacle, it wins the amount given by the random variable...