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RISS 인기검색어
- 검색키워드
- 저자 : He Lianfa (검색결과 6 건)
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METRICAL AND TOPOLOGICAL PRESSURE OF FLOWS WITHOUT FIXED POINTS
Lianfa He,Fenghong Yang,Yinghui Gao Korean Mathematical Society 2004 대한수학회지 Vol.41 No.6
We study the metrical and topological pressure for flows without fixed points on a compact metric space, and get the results as follows: (1) The metrical pressure with respect to an ergodic measure can be defined by (t, $\varepsilon$)-spanning sets. (2) The topological pressure is the supremum of metrical pressures with respect to all ergodic measures. (3) The properties that the topological pressure is zero, nonzero, finite or infinite respectively are invariant under weak equivalence.
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Deformation behaviours of SS304 tubes in pulsating hydroforming processes
Lianfa Yang,Ninghua Wang,Yulin He 국제구조공학회 2016 Structural Engineering and Mechanics, An Int'l Jou Vol.60 No.1
Tube hydroforming (THF) under pulsating hydraulic pressures is a novel technique that applies pulsating hydraulic pressures that are periodically increased to deform tubular materials. The deformation behaviours of tubes in pulsating THF may differ compared to those in conventional non-pulsating THF due to the pulsating hydraulic pressures. The equivalent stress-strain relationship of metal materials is an ideal way to describe the deformation behaviours of the materials in plastic deformation. In this paper, the equivalent stress-strain relationships of SS304 tubes in pulsating hydroforming are determined based on experiments and simulation of free hydraulic bulging (FHB), and compared with those of SS304 tubes in non-pulsating THF and uniaxial tensile tests (UTT). The effect of the pulsation parameters, including amplitude and frequency, on the equivalent stress-strain relationships is investigated to reveal the plastic deformation behaviours of tubes in pulsating hydroforming. The results show that the deformation behaviours of tubes in pulsating hydroforming can be well described by the equivalent stress-stain relationship obtained by the proposed method. The amplitude and frequency of pulsating hydraulic pressure have distinct effects on the equivalent stress-strain relationships-the equivalent stress becomes augmented and the formability is enhanced with the increase of the pulsation amplitude and frequency.
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TOPOLOGICAL COMPLEXITY OF SEMIGROUP ACTIONS
Yan, Xinhua,He, Lianfa Korean Mathematical Society 2008 대한수학회지 Vol.45 No.1
In this paper, we study the complexity of semigroup actions using complexity functions of open covers. The main results are as follows: (1) A dynamical system is equicontinuous if and only if any open cover has bounded complexity; (2) Weak-mixing implies scattering; (3) We get a criterion for the scattering property.
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Topological complexity of semigroup actions
Xinhua Yan,Lianfa He 대한수학회 2008 대한수학회지 Vol.45 No.1
In this paper, we study the complexity of semigroup actions using complexity functions of open covers. The main results are as follows: (1) A dynamical system is equicontinuous if and only if any open cover has bounded complexity; (2) Weak-mixing implies scattering; (3) We get a criterion for the scattering property. In this paper, we study the complexity of semigroup actions using complexity functions of open covers. The main results are as follows: (1) A dynamical system is equicontinuous if and only if any open cover has bounded complexity; (2) Weak-mixing implies scattering; (3) We get a criterion for the scattering property.
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TOPOLOGICAL ENTROPY OF A SEQUENCE OF MONOTONE MAPS ON CIRCLES
Zhu Yuhun,Zhang Jinlian,He Lianfa Korean Mathematical Society 2006 대한수학회지 Vol.43 No.2
In this paper, we prove that the topological entropy of a sequence of equi-continuous monotone maps $f_{1,\infty}={f_i}\;\infty\limits_{i=1}$on circles is $h(f_{1,\infty})={\frac{lim\;sup}{n{\rightarrow}\infty}}\;\frac 1 n \;log\;{\prod}\limits_{i=1}^n|deg\;f_i|$. As applications, we give the estimation of the entropies for some skew products on annular and torus. We also show that a diffeomorphism f on a smooth 2-dimensional closed manifold and its extension on the unit tangent bundle have the same entropy.
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Topological entropy of a sequence of monotone maps on circles
Yujun Zhu,Jinlian Zhang,Lianfa He 대한수학회 2006 대한수학회지 Vol.43 No.2
In this paper, we prove that the topological entropy of a sequence of equi-continuous monotone maps $f_{1,\infty}=\{f_i\}_{i=1}^{\infty}\;$ on circles is $\;h(f_{1,\infty})=\limsup\limits_{n\rightarrow\infty}\frac{1}{n}\log\prod\limits_ {i=1}^{n}|\deg f_{i}|.$ As applications, we give the estimation of the entropies for some skew products on annular and torus. We also show that a diffeomorphism $f$ on a smooth $2$-dimensional closed manifold and its extension on the unit tangent bundle have the same entropy.
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