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97
Li ChaoYing
, 2014
"... 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 ort ..."
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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
TWO KINDS OF CHAOS AND RELATIONS BETWEEN THEM
"... 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 and ..."
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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
On the invariance of LiYorke chaos of interval maps
 J. Diff. Equs. Appl
"... 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? The ..."
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Cited by 7 (3 self)
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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
ON SPATIOTEMPORAL CHAOS
"... Abstract. The aim of this paper is to investigate the connection between various definitions of chaos for topological dynamical systems (i.e., continuous surjective maps of infinite compact metric spaces without isolated points into itself). Particular attention is paid to a very recent definition o ..."
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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
On LiYorke Pairs
 J. REINE ANGEW. MATH
, 2001
"... The LiYorke 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 LiYorke chaos in a topological dynamical system are given. We solve a l ..."
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Cited by 48 (8 self)
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The LiYorke 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 LiYorke chaos in a topological dynamical system are given. We solve a
Limei Chen* KuanYi Chao**
"... VOT productions of wordinitial stops in Mandarin and English: A crosslanguage study ..."
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VOT productions of wordinitial stops in Mandarin and English: A crosslanguage study
Chaos for Discrete Dynamical System
"... 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 LiYorke. We also prove that a dynamical system is distr ..."
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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 LiYorke. We also prove that a dynamical system
ON CHAOS OF THE LOGISTIC MAPS
, 2007
"... This paper is concerned with chaos of a family of logistic maps. It is first proved that a regular and nondegenerate snapback repeller implies chaos in the sense of both Devaney and LiYorke for a map in a metric space. Based on this result, it is shown that the logistic system is chaotic in the ..."
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Cited by 1 (1 self)
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This paper is concerned with chaos of a family of logistic maps. It is first proved that a regular and nondegenerate snapback repeller implies chaos in the sense of both Devaney and LiYorke for a map in a metric space. Based on this result, it is shown that the logistic system is chaotic
ORGANIZATIONAL SYSTEMS RESEARCH ASSOCIATION Chiaan Chao
"... Roger Lichung Yin Associate Professor ..."
Chaotic continua of (continuumwise) expansive homeomorphisms and chaos in the sense of Li and Yorke
, 1994
"... A homeomorphism f: X → X of a compactum X is expansive (resp. continuumwise expansive) if there is c> 0 such that if x, y ∈ X and x � = y (resp. if A is a nondegenerate subcontinuum of X), then there is n ∈ Z such that d(f n (x), f n (y))> c (resp. diam f n (A)> c). We prove the following ..."
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Cited by 1 (0 self)
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′)) = 0}. As a corollary, if f is a continuumwise expansive homeomorphism of a compactum X with dim X> 0 and Z is a σchaotic 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
Results 1  10
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97