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1.
In this article we discuss an exciting experiment in non-linear dynamics. This provides an imaginative platform for bringing in chemical, physical, biological, mathematical and computational sciences together. There are implications for earth sciences as well. B M Deb is a theoretical chemist who has been designing experiments for chemistry teaching laboratories for more than thirty years. Mainak Sadhukhan, Sudarson Sekhar Sinha and Sucheta Sengupta were students of PBIR-Chemical Sciences. Ranjit Biswas is a physical chemist working on both theory and experiment in chemical dynamics.  相似文献   
2.
综合分析处理了包括武汉台在内的全球地球动力学(GGP)台站超导重力仪长期、连续重力观测资料,研究和检测了地球液核的动力学效应。系统讨论了在日月引潮力、表面负荷和液核动力学行为引起的核幔边界及内核边界上,压力和重力扰动等不同驱动力作用下,地球的弹性引力形变响应.基于周日重力潮汐观测中的共振放大特征,通过国际超导重力仪观测资料的迭积,研究了地球的自由和章动(FCN),精密确定了FCN参数.采用位移场的变分方法研究了液核的自由振荡,严密推导获得了用于有限元数值计算的本征值 本征向量问题.同时采用GGP台站超导重力仪长期、连续、高质量重力观测数据,研究了固体内核的平动振荡  相似文献   
3.
Numerical exercises are presented on the thermally induced motion of internally heated beams under various heat transfer and structural boundary conditions. The dynamic displacement and dynamic thermal moment of the beam are analyzed taking into consideration that the temperature gradient is independent as well as dependent on the beam displacement. The effect of length to thickness ratio of the beam on the thermally induced vibration is also investigated. The type of boundary conditions has its influence on the magnitude of dynamic displacement and dynamic thermal moment. A sustained thermally induced motion is observed with progress of time when the temperature gradient being evaluated is dependent on the forced convection generated due to beam motion. A finite element method (FEM) is used to solve the structural equation of motion as well as the heat transfer equation.  相似文献   
4.
A modified and compact form of Krylov-Bogoliubov-Mitropolskii (KBM) unified method is extended to obtain approximate solution of an nth order, n=2,3,…, ordinary differential equation with small nonlinearities when unperturbed equation has some repeated real eigenvalues. The existing unified method is used when the eigenvalues are distinct whether they are purely imaginary or complex or real. The new form is presented generalizing all the previous formulae derived individually for second-, third- and fourth-order equations to obtain undamped, damped, over-damped and critically damped solutions. Therefore, all types of oscillatory and non-oscillatory solutions are determined by suitable substitution of the eigenvalues in a general result. The formulation of the method is very simple and the determination of the solution is easy. The method is illustrated by an example of a fourth-order equation when unperturbed equation has two real and equal eigenvalues. The solution agrees with a numerical solution nicely. Moreover, this solution is useful when the differences between conjugate eigenvalues (real or complex) are small. Thus the method is a complement of the existing modified and compact form of KBM method.  相似文献   
5.
研究时滞中立型微分方程的正解的振动性,给出了方程的所有正解振动的新的充分条件,改进了已有的结果.证明了一个猜想的正确性.  相似文献   
6.
给出了一类QK型空间的两个等价刻画,一个是用双重积分表示的,另一个用在Bergman度量下的一些振荡表示的。由于它们都没有使用导数,故我们称为无导数刻画。  相似文献   
7.
由太阳核聚变正在间歇地进行着理论出发,结合太阳核反应区中3He粒子数密度变化与太阳5分钟振荡现象,可得结论:太阳核聚变正以周期约5分钟间歇地进行着。  相似文献   
8.
本文研究了中立型时滞微分方程[x(t)-P(t)x(t-τ)]′+Q(t)x(t-σ)=0在P(t)≥1且及P(t)≤0且P(t)≤0且P(t-σ)Q(t)/Q(t-τ)无界两种情况下的振动性,建立了两个新的振动准则,所得结果是文[4]的补充.  相似文献   
9.
Ganguli  S. N. 《Resonance》2004,9(4):8-20
In the concluding part of the article on Neutrinos and our Sun we discuss the detection of atmospheric neutrinos, their fluxes and zenith angle distributions. Here too one finds discrepancies with theoretical predictions. We discuss how the idea of neutrino oscillations helps resolve both the solar neutrino puzzle (discussed in Part 2) and the discrepancy observed in atmospheric neutrino fluxes. This is followed by a discussion of neutrino masses and the recent confirmation of the neutrino oscillations in the KamLAND experiment.  相似文献   
10.
HeZhanbopointedout[1] thatsurfactantscanbeusedtomakenewchemicaloscillatorsinaqueoussolution ,suchasbromateoscillator[2 ] andpermanganateoscillator[3] .Untilnow ,however,thereisnotanyelectrochemicaloscillatorre latedwithsurfactant.  Anelectrochemicaloscillatorisoneofthefirstdisco veriesofchemicaloscillators .Todayhundredsofarticleshavebeenpublished[4— 6 ] aboutelectrochemicaloscillators.Theyprovidematerialstoenrichmaturetheoriesandmecha nisms[7— 8] .InourexperimentsweusedaDaniellcellasele…  相似文献   
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