Linearized geometric dynamics of Tobin-Benhabib-Miyao economic flow.
Links of homeomorphisms of a disk and topological entropy.
Liouville integrability of geometric variational problems.
Lissajous knots and billiard knots
We show that Lissajous knots are equivalent to billiard knots in a cube. We consider also knots in general 3-dimensional billiard tables. We analyse symmetry of knots in billiard tables and show in particular that the Alexander polynomial of a Lissajous knot is a square modulo 2.
Li-Yorke pairs of full Hausdorff dimension for some chaotic dynamical systems
We show that for some simple classical chaotic dynamical systems the set of Li-Yorke pairs has full Hausdorff dimension on invariant sets.
Ljusternik-Schnirelman theory with local Palais-Smale condition and singular dynamical systems
Local analyticity in the time and space variables and the smoothing effect for the fifth-order KdV-type equation.
Local and global properties of nonautonomous dynamical systems and their application to competition models.
Local density of diffeomorphisms with large centralizers
Given any compact manifold , we construct a non-empty open subset of the space of -diffeomorphisms and a dense subset such that the centralizer of every diffeomorphism in is uncountable, hence non-trivial.
Local dimensions for Poincaré recurrences.
Local dynamics of holomorphic diffeomorphisms
This is a survey about local holomorphic dynamics, from Poincaré's times to nowadays. Some new ideas on how to relate discrete dynamics to continuous dynamics are also introduced. It is the text of the talk given by the author at the XVII UMI Congress at Milano.
Local Groups of Differentiable Transformations.
Local Lyapunov exponents and a local estimate of Hausdorff dimension
Local Non-squeezing Theorems and Stability.
Local perturbations of energy and Kac's return time theorem.
Local return rates in Sturmian subshifts
Local return rates in substitutive subshifts
Local rigidity of actions of higher rank abelian groups and KAM method.
Local structural stability of integrable 1-forms
In this work we consider a class of germs of singularities of integrable 1-forms in which are structurally stable in class ( if , if ), whose 1-jet is zero at the singularity. In this class the stability depends essentially on the fact that the perturbations allowed are integrable.
Localization of periodic orbits of autonomous systems based on high-order extremum conditions.