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A Characterization of Cellular Automata Generated by Idempotents on the Full Shift
cellular automata marker lemma products of idempotents decidability
2012/6/19
In this article, we discuss the family of cellular automata generated by so-called idempotent cellular automata (CA G such that G^2 = G) on the full shift. We prove a characterization of products of i...
Aperiodic Sequences and Aperiodic Geodesics
Recurrence Bernoulli-shift Geodesic Flow Flow-invariant Sets Symbolic Dynamics
2012/6/19
We introduce a quantitative condition on orbits of dynamical systems which measures their aperiodicity. We show the existence of sequences in the Bernoulli-shift and geodesics on closed hyperbolic man...
Lowering topological entropy over subsets revisited
entropy principal extension lowerable hereditarily lowerable
2012/6/19
Let $(X, T)$ be a topological dynamical system. Denote by $h (T, K)$ and $h^B (T, K)$ the covering entropy and dimensional entropy of $K\subseteq X$, respectively. $(X, T)$ is called D-{\it lowerable}...
A Brouwer fixed point theorem for graph endomorphisms
Graph theory graph endormorphisms Lefschetz number Euler characteristic Brouwer fixed point Dynamical zeta function
2012/6/21
We prove a Lefschetz formula for general simple graphs which equates the Lefschetz number L(T) of an endomorphism T with the sum of the degrees i(x) of simplices in G which are fixed by T. The degree ...
Generalized Riesz Products on the Bohr compactification of $\R$
Generalized Riesz products almost periodic functions Bohr compactification mean value Besicovitch space Kac Central Limit Theorem Kakutani criterion
2012/6/19
We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on $\R$. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular gen...
The Poincare map of randomly perturbed periodic motion
Poincare map random perturbations limit cycle Dynamical Systems
2012/6/15
A system of autonomous differential equations with a stable limit cycle and perturbed by small white noise is analyzed in this work. In the vicinity of the limit cycle of the unperturbed deterministic...
What make them all so turbulent
turbulent maps chain recurrent points densely chaotic maps omegalimit sets
2012/6/9
We give a unified proof of the existence of turbulence for some classes of continuous interval maps which include, among other things, maps with periodic points of odd periods > 1, some maps with dens...
A nilpotent IP polynomial multiple recurrence theorem
ergodic Ramsey theory IP-sets nilpotent Hales-Jewett theorem nilpotent Szemeredi theorem
2012/6/14
We generalize the IP-polynomial Szemer\'edi theorem due to Bergelson and McCutcheon and the nilpotent Szemer\'edi theorem due to Leibman. Important tools in our proof include a generalization of Leibm...
We establish certain topological properties of rank understood as a function on the set of invariant measures on a topological dynamical system. To be exact, we show that rank is of Young class LU (i....
Existence d'un feuilletage positivement transverse a un homeomorphisme de surface
Surface homeomorphism topological foliation transverse to the dynamics equivariant version of Brouwer's plane translation theorem
2012/6/14
Let F be a homeomorphism of an oriented surface M that is isotopic to the identity. Le Calvez proved that if F admits a lift without fixed points to the universal covering of M, then there exists a to...
第九届全国动力学与控制学术会议在西北工业大学召开
第九届 全国 动力学与控制 学术会议
2012/6/4
由中国力学学会动力学与控制专业委员会主办、西北工业大学承办的第九届全国动力学与控制学术会议于2012年5月18-20日在友谊校区召开。本次会议致力于汇聚该领域的科技工作者,为动力学与控制学科的专家学者提供一个良好的学术交流氛围与平台,共享与会者的新思想、成功经验和最新研究成果。
基于哈密顿动力系统新变分原理的保辛算法之二:算法保辛性质证明
保辛 哈密顿系统 变分原理 作用量
2014/5/16
给出了哈密顿系统的一个新的变分原理,并基于此变分原理,通过选择一个时间步长两端不同广义位移或广义动量为独立变量,给出了四种不同类型的求解哈密顿动力系统的数值方法。本文将分别证明这四类数值方法都是保辛的数值方法。
Diophantine approximation with restricted numerators and denominators on semisimple groups
Diophantine approximation restricted numerators and denominators semisimple groups Dynamical Systems
2012/5/25
We consider the problem of Diophantine approximation on semisimple algebraic groups by rational points with restricted numera- tors and denominators and establish a quantitative approximation result f...
The aim of the present paper is to show a simple family of nonlinear analytic functions $g: R\to R$ such that the origin is a global isochronous center for the scalar equation $\ddot x=-g(x)$.
The omega-limit sets of quadratic Julia sets
omega-limit sets of quadratic Julia sets Dynamical Systems
2012/5/9
In this paper we characterize $\w$-limit sets of dendritic Julia sets for quadratic maps. We use Baldwin's symbolic representation of these spaces as a non-Hausdorff itinerary space and prove that qua...