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THERMODYNAMIC FORMALISM FOR SUBADDITIVE SEQUENCE OF DISCONTINUOUS FUNCTIONS

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Analysis in Theory and Applications 2010年第2期26卷 174-185页

作者： Xianfeng Ma (nanjing Normal university/East china university of science and technology, china) Ercai Chen (nanjing Normal university/nanjing university, china) Yu Pei (nanjing Normal university, china) 1. School of Mathematics and Computer science Nanjing Normal Uniersity Nanjing 210097 P. R. China2. Department of Mathematics East China University of Science and Technology Shanghai 200237 P. R. China3. Center of Nonlinear Science Nanjing University Nanjing 210093 P. R. China

The topological pressure for subadditive sequence of discontinuous functions is defined on any invariant subset having a nested family of subsets in the compact metric space. Two subadditive variational principles associated with two different relatively weak conditions are developed for the defined topological pressure. As an application, we give an example on systems with nonzero Lyapunov exponents.

关键词： thermodynamic formalism variational principle topological pressure subadditive sequence of functions

Electrochemical Properties of Polypyrrole-Coated Microelectrode Array and the Fabrication of Polypyrrole-Based Microelectronic Devices

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Chemical Research in Chinese Universities 1995年第2期11卷 163-169页

作者： CAI Chen-xin,JU Huang-xian and CHEN Hong-yuan (department of chemistry,nanjing university,nanjing,210093) nanjing UNIV DEPT CHEMNANJING 210093PEOPLES R CHINA

Conducting polymers have been studied extensively. An interesting property of the conducting polymer is that the conductivity of some polymers, such as polypyrrolc, polyaniline, poly(3-methylthiophene) etc. , is affected by the voltage applied to them. For polypyrrole, the oxidized state is an electronic conductor and the reduced state is essentially insulating. Using this property, one can fabricate the polymer-based electronic devices. Experimental results of Pickun

关键词： Microelectrode Microeiectrode array Chemically modified electrode Polymer-based electronic devices Polypyrrole

Representation dimension for Hopf actions

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science china Mathematics 2012年第4期55卷 695-700页

作者： SUN JuXiang & LIU GongXiang department of Mathematics,nanjing university,nanjing 210093,china 1. department of Mathematics Nanjing University Nanjing 210093 China

Let H be a finite-dimensional Hopf algebra and assume that both H and H＊ are semisimple. The main result of this paper is to show that the representation dimension is an invariant under cleft extensions of H, that is... 详细信息

关键词： representation dimension finite representation type crossed product

Covarying modes of the Pacific SST and northern hemispheric midlatitude atmospheric circulation anomalies during winter

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Progress in Natural science:Materials International 2008年第10期18卷 1261-1270页

作者： Yimin Zhu~(a,b,*) Xiuqun Yang~a Qian Xie~b Yongqiang Yu~c ~a department of A tmospheric science,nanjing university,nanjing 210093,china ~b Institute of Meteorology,PLA university of science and technology,nanjing 211101,china ~c LASG,Institute of Atmospheric Physics,Chinese Academy of sciences,Beijing 100029,china department of Atmospheric science Nanjing University Nanjing 210093 China Institute of Meteorology PLA University of Science and Technology Nanjing 211101 China LASG Institute of Atmospheric Physics Chinese Academy of Sciences Beijing 100029 China

The interannual-to-interdecadal relationship between the Pacific sea surface temperature (SST) and the northern hemispheric midlati- tude’s atmosphere represented by the circumpolar vortex was documented with the global oceanic and atmospheric reanalysis data of recent 50 *** covarying modes of the Pacific SST and northern circumpolar vortex anomalies during winter were examined using the sin- gular value decomposition and wavelet analysis *** is the interannual,ENSO-related mode and the other is the interdecadal, North Pacific SST-related mode with a period of around 20 *** two modes exhibit distinct spatial *** the interannual mode,the SST anomaly is characterized by a typical ENSO pattern with the principal signature in the tropical eastern Pacific and secondary one in the central North Pacific,while the atmospheric anomaly is regional,characterized by a Pacific-North American *** the inter- decadal mode,large SST anomaly is located in the central North Pacific,while the atmospheric anomaly is zonally global,associated with the midlatitute’s standing long-wave *** the central North Pacific is colder,the long-wave is stronger,and vice *** investigations suggest that the interdecadal mode could involve an interaction between "two oceans and an atmosphere".

关键词： Sea surface temperature Atmospheric circulation ENSO Decadal variability

Tsallis model-based separation of overlapped peak signals

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science china(Information sciences) 2010年第4期53卷 823-832页

作者： LI YuanLu*, ZHANG YingChao & TANG HuiQiang College of Information and Control, nanjing university of Information science & technology, nanjing 210044, china 1. College of Information and Control Nanjing University of Information Science & Technology Nanjing 210044 China

A simple scheme for separating overlapped peak signals (OPS) is proposed, with the Tsallis distribution as the model for OPS processing and fractional-order differentiation as tool for the signal analysis, the relationships of the maxima and zero-crossing values of the Tsallis peak signal, separately, to the order of differentiation are established, leading to two types of parameter estimators, which are utilized, by adjusting the peak-shape parameter, to calculate the parameters of position, height and width of the Gaussian, Lorentzian and Tsallis distribution. The obtained characteristic parameters can be employed to fit the peak signals to be treated, thereby fulfilling the OPS decomposition.

关键词： fractional differentials filter overlapped peak signal Tsallis model separation of overlapped peak signals

Resolution method for overlapping peaks based on the fractional-order differential

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science china chemistry 2007年第6期50卷 797-805页

作者： LI YuanLu1, YU ShengLin2 & ZHENG Gang2 1 College of Information & Control, nanjing university of Information science & technology, nanjing 210044, china 2 College of Automation Engineering, nanjing university of Aeronautics and Astronautics, nanjing 210016, china 1. College of Information & Control Nanjing University of Information Science & Technology Nanjing 210044 China 2. College of Automation Engineering Nanjing University of Aeronautics and Astronautics Nanjing 210016 China

Equations between the differential order and the maximum of the fractional-order differential for the specified peak signals are developed based on the variation of the maximum of the specified peak signals at different orders. Also, equations between the differential order and the zero-crossing of the fractional-order differential of the specified peak signals are proposed according to the variation of the zero-crossing of the specified peak signals at different orders. Characteristic paramters of the Gaus- sian peak, Lorentzian peak, and Tsallis peak can be estimated using estimator I and estimator II which are obtained by the equations above. As a result, a new method is presented to resolve the overlapped peaks signal. Firstly, a fractional-order differential of the specified peak signals is obtained with the fractional-order differentiation filter. Then, characteristic paramters of the specified peak signals can be extracted using estimator I and estimator II. Finally, the Tsallis peak is used as a model to assign the overlapping peak signals correctly. Experimental results show that the proposed method is efficient and effective for the simulated overlapping peaks and detected overlapping voltammetric peak signals.

关键词： fractional-order differentiation filter, fractional-order differential, overlapping peaks, voltammetric peak

Rank of K_2 of elliptic curves

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science china Mathematics 2009年第10期52卷 2107-2120页

作者： JI QingZhong & QIN HouRong department of Mathematics, nanjing university, nanjing 210093, china 1. department of Mathematics Nanjing University Nanjing 210093 China

We prove that (i) rank(K2(E)) 1 for all elliptic curves E defined over Q with a rational torsion point of exact order N 4; (ii) rank(K2(E)) 1 for all but at most one R-isomorphism class of elliptic curves E defined ov... 详细信息

关键词： elliptic curve regulator map Né ron model

On the 3-rank of tame kernels of certain pure cubic number fields

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science china Mathematics 2010年第9期53卷 2381-2394页

作者： LI YuanYuan & QIN HouRong department of Mathematics,nanjing university,nanjing 210093,china 1. department of Mathematics Nanjing University Nanjing 210093 China

In this paper,we present some explicit formulas for the 3-rank of the tame kernels of certain pure cubic number fields,and give the density results concerning the 3-rank of the tame *** examples are given in Tables 1 ... 详细信息

关键词： the 3-rank of the tame kernels pure cubic fields density

IBN Rings and Orderings on Grothendieck Groups

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Acta Mathematica Sinica,English Series 1994年第3期10卷 225-230页

作者： Tong Wenting department of Mathematics nanjing university nanjing,210008 china 1. department of Mathematics Nanjing University 210008 Nanjing China

Let R be a ring with an identity element.R∈IBN means that Rm■Rn implies m=n,R ∈IBN1 means that Rm ■Rn⊕K implies m≥n,and R ∈IBN2 means that Rm■Rm⊕K implies K=*** this paper we give some characteristic properties of IBN1 and IBN2,with orderings o the Grothendieck *** addition,we obtain the following results:（1）If R ∈IBM1 and all finitely generated projective left R-modules are stably free,then the Grothendieck group Ko（R）is a totally ordered abelian group.（2）If the pre-ordering of the Grothendieck group Ko（R）of a ring R is a partial ordering,then R ∈IBM1 or Ko（R）=0.

关键词： IBN Rings and Orderings on Grothendieck Groups Math PSF