在已发布的论文 Non-trivial Local Attractors of a Three -dimensional Dynamical System ( http://arxiv.org/abs/1311.6202v2) 中曾指出所研究的系统在参数 由1变到小于1时会发生Hopf分叉，系统会出现一个稳定的极限环。这是根据作者的经验与粗估，但没有给出严格细致的证明。这类问题一般适用的严格数学证 ...
Key words: faint attractor, twin spatial limit closed curves, rotation number of a spatial closed curve, bifurcation ofrotation numbers, spatial limit circle Abstract: Based on both qualitative method and numerical tests for a series of particular cases in the parameter regi ...
几天前（ 11 月 1 日），美国科罗拉多州立大学物理系教授 R.Mark Bradley 在学术交流网站 ResearchGate 上公开提出如下问题： How can I solve a^2 y = y^3 – y’’’ –y’? Can any one suggest an analytical method to solve the ODE a^2 y = y^3 – y’’’ –y’, where a is a positive constan ...
Abstract: It is emphasized the fact, which is seldom discussed in quantum mechanics, that the quantum state of a given system of one or more, but a finite number, microscopic particles is unobservable by finite measurements, and based on this fact, the concepts of the “q ...
摘要： 强调一个通常量子力学著作中较少讨论的事实，即对任何给定的单个（或有限个）粒子的量子系统，人们不可能通过有限的观测确定其量子态，并根据这一事实，讨论量子信息物理中“ qubit ”、 Bell 态、纠缠态及量子隐形传态的实际涵义。本文还指出，现有理论中用半透片制造 Bell 单态的公式推导不合理。 全文见以 ...
Can the complex motions in fluid, such as Brownian motion and diffusion, be described with the exact solution of the motion equations of fluid? This problem is closely related to the famous " Millennium Prize Problems " established by the Clay Mathematics Institute of Cambridge, Massachusetts，for ...
Abstract: It is shown from two aspects that the definition of 4 Bell states is ambiguous. The ambiguous definition may be the main reason why it is difficult to measure or to create all of the 4 Bell states. It is suggested that the well defined conception "weak Bell state" is a better substitutio ...
Abstract: Some shortcomings of current quantum teleportation theory based on unclearly defined Bell states are listed. A clearly defined "weak Bell states" is proved to be useful for more effective quantum teleportation. Quantum Teleportation Based on Weak Bell States.pdf
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