The spinHamiltonian parameters (the g factors gi and the hyperfine structure constants Ai, i = x, y, z) and local structure of the Cu 2+ center in PbTiO3 are theoretically studied by using the perturbation formulae of these parameters for a 3d9 ion in an orthorhombically elongated octahedra. The orthorhombic center is attributed to

Abstract. In this paper we consider relations between chaos in the sense of Li and Yorke, and!-chaos. The main aim is to show how important the size of scrambled sets is in denitions of chaos. We provide an example of an!-chaotic map on a compact metric space which is chaotic in the sense of Li

In their celebrated ”Period three implies chaos ” paper, Li and Yorke proved that if a continuous interval map f has a period 3 point then there is an uncountable scrambled set S on which f has very complicated dynamics. One question arises naturally: Can this set S be chosen invariant under f

of spatiotemporal chaos which is based on Li–Yorke pairs and has some common features with sensitivity. We show that all topologically mixing systems, weakly mixing minimal systems, proximal systems and also some classes of recurrent systems are spatiotemporally chaotic. 0. Introduction and Definitions The term

The Li-Yorke definition of chaos proved its value for interval maps. In this paper it is considered in the setting of general topological dynamics. We adopt two opposite points of view. On the one hand sufficient conditions for Li-Yorke chaos in a topological dynamical system are given. We solve a

VOT productions of word-initial stops in Mandarin and English: A cross-language study

We prove that a dynamical system is chaotic in the sense of Martelli and Wiggins, when it is a transitive distributively chaotic in a sequence. Then, we give a sufficient condition for the dynamical system to be chaotic in the strong sense of Li-Yorke. We also prove that a dynamical system

This paper is concerned with chaos of a family of logistic maps. It is first proved that a regular and nondegenerate snap-back repeller implies chaos in the sense of both Devaney and Li-Yorke for a map in a metric space. Based on this result, it is shown that the logistic system is chaotic

Roger Li-chung Yin Associate Professor

′)) = 0}. As a corollary, if f is a continuum-wise expansive homeomorphism of a compactum X with dim X> 0 and Z is a σ-chaotic continuum of f, then for almost all Cantor sets C ⊂ Z, f or f −1 is chaotic on C in the sense of Li and Yorke according as σ = s or u). Also, we prove that if f is a continuum