Hasil untuk "math.DS"

Charles Favre

We study the blow-up of the multipliers of periodic cycles in one-parameter holomorphic degenerating families of rational maps of the Riemann sphere.

Valery V. Ryzhikov

There is a set of continual cardinality of pairwise disjoint Gaussian automorphisms with spectrally isomorphic even factors having Lebesgue spectrum.

Yuan Lian

In this paper, we mainly consider on the entropy of the extended map conditional to the natural extension of a dynamical system for an Abelian group action and we calculate the entropy is zero.

D Farotti, J B Gutowski

Abstract We classify all warped dS 5 backgrounds in D = 11 supergravity with enhanced supersymmetry. We show that backgrounds preserving N = 16 supersymmetries consist of either a stack of M5 branes with transverse space R 5 , or a generalized M5-brane configuration with transverse space R × N 4 , where N 4 is a hyper-Kähler manifold and the M5-brane harmonic function is determined by a hyper-Kähler potential on N 4. Moreover, we find that there are no backgrounds preserving exactly N = 24 supersymmetries. Backgrounds preserving N = 32 supersymmetries correspond to either R 1 , 10 or A d S 7 × S 4 .

Gerard Farré

We present an approximation by conjugation scheme to obtain real-analytic diffeomorphisms of odd dimensional spheres that are weakly mixing with respect to the volume.

Mohammad Fanaee, Mohammad Soufi

We prove that the unique SRB measure for a singular hyperbolic attractor depends continuously on the dynamics in the weak$^\ast$ topology.

Kenichiro Yamamoto

We prove that all ($α$-$β$)-shifts with $0\le α<1$ and $β>2$ are saturated, that is, for any invariant measure, the topological entropy of the set of generic points coincides with the metric entropy.

Quentin Menet

We show that there exists an invertible $\mathcal{U}$-frequently hypercyclic operator on $\ell^p(\mathbb{N})$ ($1\le p <\infty$) whose inverse is not $\mathcal{U}$-frequently hypercyclic.

Peng Sun

We prove a generalized Gauss-Kuzmin-Lévy theorem for the $p$-numerated generalized Gauss transformation $$T_p(x)=\{\frac{p}{x}\}.$$ In addition, we give an estimate for the constant that appears in the theorem.

Junghun Lee

In this paper, we will prove the rationality of the Artin-Mazur zeta functions of some non-Archimedean dynamical systems.

A. D. Morozov

For Hamitonian systems with 3/2 degrees of freedom close to nonlinear integrable and for symplectic maps of the cylinder, bifurcations in degenerate resonance zones are discussed.

Abed Bounemoura

In this paper, we give a new proof of the classical KAM theorem which avoids small divisors and relies on two basic principles of Diophantine approximation: Dirichlet's box and Khintchine transference principles.

Masayuki Asaoka

We show the local rigidity of the natural action of the Borel subgroup of SO_+(n,1) on a cocompact quotient of SO_+(n,1) for n>2.

V. V. Ryzhikov

We prove the mixing for all staircase transformations satisfied the conditions $r_j/h_j\to 0$ + $r_j\to\infty$.

Adlene Ayadi

In this paper, we give a characterization of hypercyclic abelian affine group G. If G is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by n affine maps on C^n has a dense orbit.

Magnus Aspenberg

We show that the set of Misiurewicz maps has Lebesgue measure zero in the parameter space of rational maps for any fixed degree greater than or equal to 2.

Henry de Thelin

We give a construction of measures with partial sum of Lyapunov exponents bounded by below.

S. Secchi, C. A. Stuart

We provide global bifurcation results for a class of nonlinear hamiltonian systems

A. O. Prishlyak

The topological classification of gradient like Morse-Smale vector fields and diffeomorphisms on 3-manifolds was obtained.

Dominique Cerveau

We study complex vector fields with straight lines trajectories. Some applications to rational solutions of ikonals equations are given