Periodic Solutions on hypersurfaces and a result by C. Viterbo.
Periodic solutions with prescribed energy for some keplerian -body problems
Periodic solutions with prescribed minimal period for convex autonomous hamiltonian systems.
Periodic traveling waves in the system of linearly coupled nonlinear oscillators on 2D-lattice
In this paper we obtain results on existence of non-constant periodic traveling waves with arbitrary speed in infinite system of linearly coupled nonlinear oscillators on a two-dimensional lattice. Sufficient conditions for the existence of such solutions are obtained with the aid of critical point method and linking theorem.
Periodic wave solutions for the generalized shallow water wave equation by the improved Jacobi elliptic function method.
Periodicity and transport from round-off errors.
Periodicity in distribution. I: Discrete systems.
Periodicity of β-expansions for certain Pisot units*
Given β > 1, let TβThe iteration of this transformation gives rise to the greedy β-expansion. There has been extensive research on the properties of this expansion and its dependence on the parameter β.In [17], K. Schmidt analyzed the set of periodic points of Tβ, where β is a Pisot number. In an attempt to generalize some of his results, we study, for certain Pisot units, a different expansion that we call linear expansionwhere each ei...
Periods of Morse-Smale diffeomorphisms of 𝕊²
The aim of this paper is to describe the set of periods of a Morse-Smale diffeomorphism of the two-dimensional sphere according to its homotopy class. The main tool for proving this is the Lefschetz fixed point theory.
Periods of periodic points for transitive degree one maps of the circle with a fixed point.
Periods of β-expansions and linear recurrent sequences
Permanence and global attractivity of a discrete two-prey one-predator model with infinite delay.
Permanence and periodic solution of predator-prey system with holling type functional response and impulses.
Perron-Frobenius operators and the Klein-Gordon equation
For a smooth curve and a set in the plane , let be the space of finite Borel measures in the plane supported on , absolutely continuous with respect to the arc length and whose Fourier transform vanishes on . Following [12], we say that is a Heisenberg uniqueness pair if . In the context of a hyperbola , the study of Heisenberg uniqueness pairs is the same as looking for uniqueness sets of a collection of solutions to the Klein-Gordon equation. In this work, we mainly address the...
Persistance des sous-variétés à bord et à coins normalement dilatées
On se propose de montrer que les variétés à bord et plus généralement à coins, normalement dilatées par un endomorphisme sont persistantes en tant que stratifications -régulières. Ce résultat sera démontré en classe , pour . On donne aussi un exemple simple d’une sous-variété à bord normalement dilatée mais qui n’est pas persistante en tant que sous-variété différentiable.
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.