Do all integrable equations satisfy integrability criteria?
Do all integrable evolution equations have the Painlevé property?
Do global attractors depend on boundary conditions?
Does a billiard orbit determine its (polygonal) table?
We introduce a new equivalence relation on the set of all polygonal billiards. We say that two billiards (or polygons) are order equivalent if each of the billiards has an orbit whose footpoints are dense in the boundary and the two sequences of footpoints of these orbits have the same combinatorial order. We study this equivalence relation under additional regularity conditions on the orbit.
Domains of analytic continuation for the top Lyapunov exponent
Doppelpunktfreie geschlossene Geodätische auf kompakten Flächen.
Double Hopf bifurcation with strong resonances in delayed systems with nonlinearities.
Doubling bifurcation of a closed invariant curve in 3D maps
The object of the present paper is to give a qualitative description of the bifurcation mechanisms associated with a closed invariant curve in three-dimensional maps, leading to its doubling, not related to a standard doubling of tori. We propose an explanation on how a closed invariant attracting curve, born via Neimark-Sacker bifurcation, can be transformed into a repelling one giving birth to a new attracting closed invariant curve which has doubled...
Doubly periodic traveling waves in a cellular neural network with linear reaction.
Drift and diffusion in phase space
Drinfel'd doubles and Ehresmann doubles for Lie algebroids and Lie bialgebroids.
Drinfeld-Sokolov hierarchies on truncated current Lie algebras
In this paper we construct on truncated current Lie algebras integrable hierarchies of partial differential equations, which generalize the Drinfeld-Sokolov hierarchies defined on Kac-Moody Lie algebras.
D+-Stable Dynamical Systems on 2-Manifolds.
Dualité symplectique, feuillitages et géometrie du moment.
One gives the links between the notions of singular foliations, Γ-structures and momentum mapping in the context of symplectic geometry.
Dubrovin Type Equations for Completely Integrable Systems Associated with a Polynomial Pencil
Dubrovin type equations for the N -gap solution of a completely integrable system associated with a polynomial pencil is constructed and then integrated to a system of functional equations. The approach used to derive those results is a generalization of the familiar process of finding the 1-soliton (1-gap) solution by integrating the ODE obtained from the soliton equation via the substitution u = u(x + λt).
Duistermaat-Heckman measures in a non-compact setting
Dyadic Diophantine approximation and Katok's horseshoe approximation
Dynamic behaviors of a general discrete nonautonomous system of plankton allelopathy with delays.
Dynamic behaviors of a harvesting Leslie-Gower predator-prey model.
Dynamic bifurcation diagrams for some models in economics and biology.