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Chinese Physics Letters 2012年第6期29卷 39-41页

作者： Akpan N.Ikot Theoretical Physics Group Department of PhysicsUniversity of UyoNigeria

We present the bound-state solutions to the Klein-Gordon equation with squal scalar and vector modified Hylleraas plus exponential Rosen morse potentials using the parametric Nikiforov-Uvarov *** use the elegant approximation scheme to the centrifugal *** bound state energy eigenvalues and the corresponding wave function are *** also discuss the special cases.

关键词： method morse exponential

morse index and the stability of closed geodesics

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Science China Mathematics 2010年第5期53卷 170-175页

作者： Hu XiJun Sun ShanZhong Shandong Univ Sch Math Jinan 250100 Peoples R China Capital Normal Univ Sch Math Sci Beijing 100048 Peoples R China

Let ind(c) be the morse index of a closed geodesic c in an(n+1)-dimensional Riemannian manifold *** prove that an oriented closed geodesic c is unstable if n + ind(c) is odd and a non-oriented closed geodesic c is unstable if n + ind(c) is *** result is a generalization of the famous theorem due to Poincar'e which states that the closed minimizing geodesic on a Riemann surface is unstable.

关键词： closed geodesics stability morse index

Second-Harmonic Generation in Thue-morse Optical Superlattice

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Chinese Physics Letters 1998年第6期15卷 426-428页

作者： LIU Xian-jie WANG Zhen-lin WU Jun MIN Nai-ben National Laboratory of Solid State Microstructures Nanjing Universityand Center for Advanced Studies in Science and Technology of MicrostructuresNanjing 210093

A Thue-morse optical superlattice made from a single crystal with laminar ferroelectric domain structure was proposed to realize second-harmonic *** to the singular continuous Fourier spectrum in Thue-morse sequence,this structure shows more plentiful harmonic spectrum,and the intense peaks can be classified according to their different intensity distributions within the *** harmonic spectra in real space and reciprocal space are presented and discussed.

关键词： morse harmonic spectrum

Indium-Gallium-Zinc-Oxide-Based Photoelectric Neuromorphic Transistors for Spiking morse Coding

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Chinese Physics Letters 2022年第6期39卷 1-4页

作者： Xinhuang Lin Haotian Long Shuo Ke Yuyuan Wang Ying Zhu Chunsheng Chen Changjin Wan Qing Wan School of Electronic Science and Engineering Nanjing UniversityNanjing 210093China

The human brain that relies on neural networks communicated by spikes is featured with ultralow energy consumption, which is more robust and adaptive than any digital system. Inspired by the spiking framework of the brain, spike-based neuromorphic systems have recently inspired intensive attention. Therefore, neuromorphic devices with spike-based synaptic functions are considered as the first step toward this aim. Photoelectric neuromorphic devices are promising candidates for spike-based synaptic devices with low latency, broad bandwidth,and superior parallelism. Here, the indium-gallium-zinc-oxide-based photoelectric neuromorphic transistors are fabricated for morse coding based on spike processing, 405-nm light spikes are used as synaptic inputs, and some essential synaptic plasticity, including excitatory postsynaptic current, short-term plasticity, and high-pass filtering, can be mimicked. More interestingly, morse codes encoded by light spikes are decoded using our devices and translated into amplitudes. Furthermore, such devices are compatible with standard integrated processes suitable for large-scale integrated neuromorphic systems.

关键词： morse Zinc filtering

The anharmonic effect study of coupled morse oscillators for the unimolecular reaction

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Science China Chemistry 2008年第12期51卷 1146-1152页

作者： YAO Li1,2 & LIN Sheng-Hsien2,31 Department of Physics, Dalian Maritime University, Dalian 116026, China 2 Institute of Atomic and Molecular Sciences, Academia Sinica, Taipei 10764, China 3 Department of Applied Chemistry and Institute of Molecular Sciences, Chiao-Tung University, Hsinchu 30051, Taiwan, China 1. Department of Physics Dalian Maritime University Dalian 116026 China 2. Institute of Atomic and Molecular Sciences Academia Sinica Taipei 10764 China 3. Department of Applied Chemistry and Institute of Molecular Sciences Chiao-Tung University Hsinchu 30051 Taiwan China

The importance of anharmonic effect in dissociation of molecular systems especially clusters has been noted. In this paper, we shall study the effect of coupled anharmonic oscillator of the standard bilinear form (SBF) morse oscillator (MO) potential on unimolecular reaction. We shall use the systematic theoretical approach, YL method, proposed by Yao and Lin (YAO L, et. al. J Phys Chem A, 2007, 111(29): 6722-6729), which can evaluate anharmonic effects on the rate constants based on the transition state theory. In treating the anharmonic effect with the morse oscillator potential on unimolecular reactions under collision-free conditions by using the RRKM (Rice-Ramsperger-Kassel-Marcus) theory, the in-verse Laplace transformation of the partition functions was used to obtain the total amount of state and density of state by using the first-order and the second-order approximations of the saddle-point method. To demonstrate the anharmonic effect of the SBF morse model, we choose some model systems and a real reaction as examples.

关键词： anharmonic effect standard bilinear form morse oscillator rate constant RRKM theory

A Generalized Frenkel-Kontorova Model with morse Potentials

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Chinese Physics Letters 1997年第11期14卷 820-822页

作者： XU Ai-guo WANG Guang-rui CHEN Shi-gang Graduate Schoo1 China Academy of Engineering PhysicsBeijing 100088 Center for Nonlinear Studies Institute of Applied Physics and Computational MathematicsBeijing 100088

A generalized Frenkel-Kontorova model with the morse potentials is *** phase diagram reflects the nonlinear nature of the morse *** correspondences of the ground states and the orbits of the area-preserving map are st... 详细信息

关键词： potential. morse preserving

ON morse CONJECTURE OF METRIC TRANSITIVITY

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Science China Mathematics 1991年第2期34卷 138-146页

作者：丁同仁 Department of Marthematics Peking University Beijing 100871 PRC

It is known that metric transitivity implies topological transitivity. But, the converseremains to be an open question. In 1946 and 1973, M. morse made a conjecture that thisconverse theorem was probably true for analytic systems or systems with some degree ofanalytic regularity. In this paper, we disprove the morse' conjecture for almost every-where analytic C^(∞)-flows on n-dimensional manifolds (n≥2), and prove the validity of themorse conjecture for analytic flows on T^2.

关键词： morse conjecture metric transitivity topological transitivity dynamical systems Ergodic theorem.

THE morse CRITICAL GROUPS OF THE MINMAX THEOREM

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Chinese Annals of Mathematics,Series B 1991年第2期12卷 202-206页

作者：杨学锋 Department of Mathematics Hangzhou Institute of CommerceHangzhouZhejiangChina

The author gives a new min-max theorem and studies the local homology propertiesof critical points that is got by min-max *** particular,this result includes manymin-max theorem of link type,which can be applicable to... 详细信息

关键词： homology applicable Pioneer neighborhood manifold meaningful helpful 加名 morse links

morse THEORY UNDER GENERAL BOUNDARY CONDITIONS

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Systems Science and Mathematical Sciences 1991年第1期4卷 78-83页

作者：张恭庆刘嘉荃 Institute of Mathematics Peking UniversityBeijing 100871China Department of Mathematics Graduate SchoolAcademia SinicaBeijing 100039China

morse inequalities for morse functions under general boundary conditions were initiallystudied by morse and Van Schaa(?)*** is our purpose to present a natural extension of the theorem dueto morse and Van Schaack with... 详细信息

关键词： morse inequalities morse functions general boundary conditions isolated critical points

THE morse INDEX OF A SADDLE POINT

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Systems Science and Mathematical Sciences 1989年第1期2卷 32-39页

作者：刘嘉荃 Graduate School University of Science and Technology of ChinaBeijingChina

This paper is devoted to clarifying the relationship between the classical morse theory andthe Mountain Pass Lemma via the local linking *** is shown that for a C^1-function f with alocal linking,the m-thcritical group is nontrivial,where m is the morse *** with thebehavior of f at infinity,this result can be used to offer the existence of nontrivial critical points.

关键词： Saddle point morse theory Mountain Pass Lemma local linking