Mather measures and the Bowen–Series transformation
Maximal distributional chaos of weighted shift operators on Köthe sequence spaces
During the last ten some years, many research works were devoted to the chaotic behavior of the weighted shift operator on the Köthe sequence space. In this note, a sufficient condition ensuring that the weighted shift operator defined on the Köthe sequence space exhibits distributional -chaos for any and any is obtained. Under this assumption, the principal measure of is equal to 1. In particular, every Devaney chaotic shift operator exhibits distributional -chaos for any .
Maximal scrambled sets for simple chaotic functions.
This paper is a continuation of [1], where a explicit description of the scrambled sets of weakly unimodal functions of type 2∞ was given. Its aim is to show that, for an appropriate non-trivial subset of the above family of functions, this description can be made in a much more effective and informative way.
Measurable dynamics of -unimodal maps of the interval
Meromorphic extensions of generalised zeta functions.
Metric with ergodic geodesic flow is completely determined by unparameterized geodesics.
Métriques à entropie topologique positive sur
Minkowski Plane, Confocal Conics, and Billiards
Mise en position optimale de tores par rapport à un flot d'Anosov.
Model reduction methods for chaotic systems
Modeling nonlinear dynamics and chaos: a review.
Modélisation de la transition vers la turbulence
Moduli spaces of abelian differentials : the principal boundary, counting problems, and the Siegel-Veech constants
A holomorphic 1-form on a compact Riemann surface S naturally defines a flat metric on S with cone-type singularities. We present the following surprising phenomenon: having found a geodesic segment (saddle connection) joining a pair of conical points one can find with a nonzero probability another saddle connection on S having the same direction and the same length as the initial one. A similar phenomenon is valid for the families of parallel closed geodesics. We give a complete description of...
Multibump solutions for a class of lagrangian systems slowly oscillating at infinity
Multibump solutions for Hamiltonian systems with fast and slow forcing
Si dimostra l'esistenza di infinite soluzioni «multi-bump» - e conseguentemente il comportamento caotico - per una classe di sistemi Hamiltoniani del secondo ordine della forma per sufficientemente piccolo. Qui , e sono funzioni strettamente positive e periodiche e è un potenziale superquadratico (ad esempio ).
Multidimensional nonhyperbolic attractors
Multidimensional singular -lemma.
Multifractal analysis of nearly circular Julia set and thermodynamical formalism
Multifractal spectra of Birkhoff averages for a piecewise monotone interval map
We study the entropy spectrum of Birkhoff averages and the dimension spectrum of Lyapunov exponents for piecewise monotone transformations on the interval. In general, these transformations do not have finite Markov partitions and do not satisfy the specification property. We characterize these multifractal spectra in terms of the Legendre transform of a suitably defined pressure function.
New feedback functions for synchronizing chaotic maps.