In this article, we discuss the relationship between pointwise pseudo-orbit tracing property and chaotic properties such as topological mixing. When f has pointwise pseudo-orbit tracing property, we give some equal co...In this article, we discuss the relationship between pointwise pseudo-orbit tracing property and chaotic properties such as topological mixing. When f has pointwise pseudo-orbit tracing property, we give some equal conditions of uniform positive entropy and completely positive entropy.展开更多
In this paper, the interconnection of som e ergodic properties betw een a continuous selfm ap and its inverse lim itis studied. Ithas been proved that(1) theirinvariantBorelproba- bility m easures are identicalup to...In this paper, the interconnection of som e ergodic properties betw een a continuous selfm ap and its inverse lim itis studied. Ithas been proved that(1) theirinvariantBorelproba- bility m easures are identicalup to hom eom orphism and (2) they preserve uniform positive en- tropy property sim ultaneously. As applications, it is also proved that the upper sem i-continu- ous properties of their entropy m aps are restricted each other, and the entropy m ap of the asym ptotically h-expansivecontinuous m ap isuppersem i-continuous, atthe sam e tim e acontin- uous m ap having u.p.e. is topologicalweak-m ixing.展开更多
A series of CeMn2（Si1-xGex）2（x = 0.2, 0.4, 0.6, 0.8） compounds are prepared by the arc-melting method. All the samples primarily crystallize in the Th Cr2Si2-type structure. The temperature dependences of zero-fie...A series of CeMn2（Si1-xGex）2（x = 0.2, 0.4, 0.6, 0.8） compounds are prepared by the arc-melting method. All the samples primarily crystallize in the Th Cr2Si2-type structure. The temperature dependences of zero-field-cooled（ZFC） and FC magnetization measurements show a transition from antiferromagnetic（AFM） state to ferromagnetic（FM） state at room temperature with the increase of the Ge concentration. For x = 0.4, the sample exhibits two kinds of phase transitions with increasing temperature： from AFM to FM and from FM to paramagnetic（PM） at around TN-197 K and T C-300 K,respectively. The corresponding Arrott curves indicate that the AFM–FM transition is of first-order character and the FM–PM transition is of second-order character. Meanwhile, the coexistence of positive and negative magnetic entropy changes can be observed, which are corresponding to the AFM–FM and FM–PM transitions, respectively.展开更多
基金Foundation item： the National Natural Science Foundation of China （No. 10571086）
文摘In this article, we discuss the relationship between pointwise pseudo-orbit tracing property and chaotic properties such as topological mixing. When f has pointwise pseudo-orbit tracing property, we give some equal conditions of uniform positive entropy and completely positive entropy.
文摘In this paper, the interconnection of som e ergodic properties betw een a continuous selfm ap and its inverse lim itis studied. Ithas been proved that(1) theirinvariantBorelproba- bility m easures are identicalup to hom eom orphism and (2) they preserve uniform positive en- tropy property sim ultaneously. As applications, it is also proved that the upper sem i-continu- ous properties of their entropy m aps are restricted each other, and the entropy m ap of the asym ptotically h-expansivecontinuous m ap isuppersem i-continuous, atthe sam e tim e acontin- uous m ap having u.p.e. is topologicalweak-m ixing.
基金Project supported by the Beijing Natural Science Foundation,China(Grant No.2152034)the National Natural Science Foundation of China(Grant Nos.11274357 and 51271196)
文摘A series of CeMn2（Si1-xGex）2（x = 0.2, 0.4, 0.6, 0.8） compounds are prepared by the arc-melting method. All the samples primarily crystallize in the Th Cr2Si2-type structure. The temperature dependences of zero-field-cooled（ZFC） and FC magnetization measurements show a transition from antiferromagnetic（AFM） state to ferromagnetic（FM） state at room temperature with the increase of the Ge concentration. For x = 0.4, the sample exhibits two kinds of phase transitions with increasing temperature： from AFM to FM and from FM to paramagnetic（PM） at around TN-197 K and T C-300 K,respectively. The corresponding Arrott curves indicate that the AFM–FM transition is of first-order character and the FM–PM transition is of second-order character. Meanwhile, the coexistence of positive and negative magnetic entropy changes can be observed, which are corresponding to the AFM–FM and FM–PM transitions, respectively.
