延迟有限理性下推测变差寡头博弈模型的复杂性

在参与人具有延迟有限理性决策下,构造含有伯川德推测变差的动态寡头模型,对模型的推测变差均衡点的存在性和唯一性进行了证明,把企业的产量调整速度作为变量,分析企业的产量调整速度的变化产生的周期分岔、混沌等复杂行为,并对比了延迟理性和DFC方法的混沌控制效果.研究表明,尽管二者作用机理不同,但混沌现象都发生了延迟甚至消失,即系统的稳定性增强.     

基于HI-13串列加速器在束γ终端原子核激发态寿命测量的核结构研究

利用在HI-13串列加速器的在束γ终端上建立的多普勒线移衰减法、反冲距离多普勒线移法和快时间延迟符合法等3种寿命测量方法,开展了原子核手征对称性、磁转动等核结构热点课题的研究工作。实验结果表明,130Cs的伙伴带具有很好的手征特性,而106Ag的候选带并非手征双带。根据测量的能级寿命提取的B（M1）值表明,106Ag的正宇称晕带和107Ag的正、负宇称晕带都具有典型的磁转动特性。此外,寿命测量数据还为解释和理解不同的同位素链中展现出的形状演化、形状共存、形状相变及临界点对称性等物理现象提供了有价值的实验证据。 The significance and principle of lifetime measurements of excited states in nuclei are briefly described. By using the recoil-distance Doppler-shift method, the Doppler-shift attenuation method, and the fast-timing technique established at the in-beam γ terminal of HI-13 tandem accelerator, nuclear structure studies on topical subjects including chiral symmetries and magnetic rotation have been performed. Our experimental results indicate that 130Cs shows better chiral characteristics, however, the two candidate bands of 106Ag could not be a pair of chiral doublet bands. For magnetic rotation, the deduced B(M1) values deduced from the measured level lifetimes clearly demonstrate that the yrast positive-parity band in 106Ag and both the yrast positiveand negative-parity bands in 107Ag are magnetic rotation bands. In addition, our lifetime measurement data also provide valuable experimental evidences for the interpretation and understanding of the shape evolution, the shape coexistence, and the critical-point symmetries of shape phase transition in the different isotope chains.     

吡哌酸的固体表面-延迟荧光法研究

研究了吡哌酸(PPA)的同体表面-延迟荧光特征,实验表明Be(Ⅱ)、Mg(Ⅱ)、Ca(Ⅱ)、Sr(Ⅱ)、Ba(Ⅱ)及Zn(Ⅱ)、Cd(Ⅱ)、La(Ⅲ)等无机盐能显著增强PPA的固体表面-延迟荧光(SS-DF).pH值对PPA的SS-DF有显著影响。寿命测量结果表明,在固体表面PPA是以双指数衰减的,同时测量了PPA的低温光谱,在本文选择的条件下,PPA分析曲线的线性范围为1.8～1800ng/斑点。     

On singularly perturbed quasilinear systems

In this paper, the objective is to give sufficient conditions for the existence of solution of the nonlinear two-point boundary value problem(1.1). And we employ these results to consider the boundary layer phenomena of the quasilinear weakly coupled singularly perturbed system (DP)_q.     

一类平面自治非线性时滞控制系统的多稳态和混沌

众所周知,平面自治系统即使具有光滑非线性存在,系统也不会出现复杂的动力学行为。本文研究这样的系统存在时滞时,时滞量对系统的动力学行为的影响。通过对一个平面自治非线性系统引入时滞反馈,得到数学模型。利用泛函分析和平均法建立系统平衡态随时滞量变化的失稳机理,研究表明：时滞量平面自治系统动力学行为的影响是本质的．时滞量不但可以使系统出现Hopf分岔,产生周期振动。而且还可以使系统出现多稳态的周期运动或周期吸引子,这些共存的吸引子相碰是导致系统复杂的动力学行为,包括概周期和混沌运动。     

Thermally activated delayed fluorescent (TADF) coordination polymer with the generation of singlet oxygen

4,4′‐{9,9′‐Spirobi[10H‐acridine]‐10,10′‐diyl}dibenzoic acid ( L , C₂₉H₂₆N₂O₄) was designed and synthesized as a new donor–acceptor motif molecule. Due to the large dihedral angle between the planes of the carboxyphenyl group and the spiroacridine moiety, L possess thermally activated delayed fluorescence (TADF). By applying L as a ligand and using Cd as a metal connector, we synthesized the coordination polymer catena‐poly[hemi‐μ‐aqua‐aqua(μ₃‐4,4′‐{9,9′‐spirobi[10H‐acridine]‐10,10′‐diyl}dibenzoato)cadmium(II)], [Cd(C₂₉H₂₄N₂O₄)(H₂O)_1.5]_n, ( I ). X‐ray crystallographic analysis revealed that this coordination polymer exhibits one‐dimensional chains constructed from molecular twist‐ring moieties, with Cd₂O₁₁ clusters as the connection nodes. The stacking pattern of the two‐dimensional network was formed by C—H…π interactions in the solid state. Similar to L , ( I ) presents a sky‐blue TADF emission, together with a photoluminescence quantum yield (PLQY) of 40%. It is worth noting that the photocatalytic activity toward the generation of singlet oxygen of this coordination polymer is confirmed.     

高效溶液法制备延迟荧光电致发光器件研究

本文以2-[对-N,N-二苯基氨基-苯基]-S-二氧硫杂蒽酮(TXO-TPA)为发光材料, 4,4',4"-三(9-咔唑基)三苯胺(TCTA) 为主体材料, 通过溶液法与真空蒸镀相结合的工艺,制备了高效延迟荧光型电致发光器件。为了考察不同电子传输材料对器件性能的影响,分别选取TmPyPB、TPBI、BCP、Alq₃作为电子传输层制备器件,并对器件的性能进行系统的研究。结果表明:由于1,3,5-三(1-苯基-1H-苯并咪唑-2-基)苯(TPBI)具有合适的HOMO/LUMO能级、高的电子迁移率以及高的三重态能级,利于电子的传输和激子的阻挡,以其为电子传输层的器件显示出最佳的性能,器件的开启电压低至3.6 V,电流效率达到16.2 cd/A,最大的EQE达到5.97%。     

Inherent Photon Energy Recycling Effects in the Up‐Converted Delayed Luminescence Dynamics of Poly(fluorene)–PtIIoctaethyl Porphyrin Blends

We present results of steady‐state and transient photoluminescence studies of molecularly doped poly(fluorene) films. We study blends with increasing content of the triplet emitter (2,3,7,8,12,13,17,18‐octaethyl‐porphyrinato)Pt^II (PtOEP) when dispersed in the polymeric poly(fluorene) matrix of the poly[9,9‐di‐(2‐ethylhexyl)‐fluorenyl‐2,7‐diyl] (PF26) derivative. We carry out a unified study of the photophysical reactions that are involved in the energy transfer processes in this system by probing the three luminescence processes of a) PF26 fluorescence, b) triplet–triplet annihilation (TTA) induced up‐converted PF26 delayed fluorescence and c) PtOEP phosphorescence. With increasing PtOEP content, the process of photon energy recycling in the PF26:PtOEP system is manifested from the quenching of the TTA‐induced up‐converted PF26 delayed fluorescence and it is rationalized with the use of Forster theory of resonant energy transfer. Based on the combined results of the photophysical and the transmission electron microscopy characterization of the as‐spun PF26:PtOEP films, we determine the onset of PtOEP aggregation at 2–3 wt % PtOEP content. The analysis of the photophysical data is based on the use of modified Stern–Volmer photokinetic models that are appropriate for the solid state. A static component in the PL quenching of PF26 is revealed for PtOEP contents below 2 wt %. The modified Stern–Volmer kinetic scheme further suggests that co‐aggregation effects between PF26 and PtOEP are operative with an association constant of ground state complex formation k_bind ～15–17 M ^?1. The involvement of the ground state heterospecies in the TTA‐mediated PF26 up‐converted luminescence is discussed. The participation of an electron‐exchange step, in the excited state energy transfer pathway between PtOEP and PF26, is proposed for the activation mechanism of the PF26 up‐converted fluorescence.     

A relax-and-cut algorithm for the prize-collecting Steiner problem in graphs

Given an undirected graph G with penalties associated with its vertices and costs associated with its edges, a Prize Collecting Steiner (PCS) tree is either an isolated vertex of G or else any tree of G, be it spanning or not. The weight of a PCS tree equals the sum of the costs for its edges plus the sum of the penalties for the vertices of G not spanned by the PCS tree. Accordingly, the Prize Collecting Steiner Problem in Graphs (PCSPG) is to find a PCS tree with the lowest weight. In this paper, after reformulating and re-interpreting a given PCSPG formulation, we use a Lagrangian Non Delayed Relax and Cut (NDRC) algorithm to generate primal and dual bounds to the problem. The algorithm is capable of adequately dealing with the exponentially many candidate inequalities to dualize. It incorporates ingredients such as a new PCSPG reduction test, an effective Lagrangian heuristic and a modification in the NDRC framework that allows duality gaps to be further reduced. The Lagrangian heuristic suggested here dominates their PCSPG counterparts in the literature. The NDRC PCSPG lower bounds, most of the time, nearly matched the corresponding Linear Programming relaxation bounds.     

Global synchronization of general delayed complex networks with stochastic disturbances

In this paper, global synchronization of general delayed complex networks with stochastic disturbances, which is a zero-mean real scalar Wiener process, is investigated. The networks under consideration are continuous-time networks with time-varying delay. Based on the stochastic Lyapunov stability theory, It?'s differential rule and the linear matrix inequality (LMI) optimization technique, several delay-dependent synchronous criteria are established, which guarantee the asymptotical mean-square synchronization of drive networks and response networks with stochastic disturbances. The criteria are expressed in terms of LMI, which can be easily solved using the Matlab LMI Control Toolbox. Finally, two examples show the effectiveness and feasibility of the proposed synchronous conditions.