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941.
942.
Fern Y. Hunt 《Journal of Dynamics and Differential Equations》2001,13(1):87-105
We present a theoretical basis for a novel way of studying and representing the long-time behavior of finite-dimensional maps. It is based on a finite representation of -pseudo orbits of a map by the sample paths of a suitable Markov chain based on a finite partition of phase space. The use of stationary states of the chain and the corresponding partition elements in approximating the attractors of maps and differential equations was demonstrated in Refs. 7 and 3 and proved for a class of stable attracting sets in Ref. 8. Here we explore the relationship between the communication classes of the Markov chain and basic sets of the Conley decomposition of a dynamical system. We give sufficient conditions for the existence of a chain transitive set and show that basic sets are isolated from each other by neighborhoods associated with closed communication classes of the chain. A partition element approximation of an isolating block is introduced that is easy to express in terms of sample paths. Finally, we show that when the map supports an SBR measure there is a unique closed communication class and the Markov chain restricted to those states is irreducible. 相似文献
943.
A self-excited three-mass chain system is considered here. For a self-excitation of van der Pol type, the possibility of multi-frequency
oscillations is investigated. Both analytical approximate solutions and numerical simulation are used. The averaging method
is used to establish existence and stability of the normal modes, the two-frequency modes as well as the three-frequency oscillations
solutions. We found at first that the single mode seems to prevail. However a three-frequency solution can be stabilised by
adapting the system slightly. A generic bifurcation diagram is given where all the possible phase portraits are sketched.
The flow turns out to be quite predictable. There is no “room” for chaos or strange attractors. This behaviour is not typical
for systems of coupled oscillators but turns out to be partly related to the involved symmetries as well as the particular
choice of the system parameters. 相似文献
944.
The paper considers the stochastic response of geometrical non-linear shallow cables. Large rain-wind induced cable oscillations with non-linear interactions have been observed in many large cable stayed bridges during the last decades. The response of the cable is investigated for a reduced two-degrees-of-freedom system with one modal coordinate for the in-plane displacement and one for the out-of-plane displacement. At first harmonic varying chord elongation at excitation frequencies close to the corresponding eigenfrequencies of the cable is considered in order to identify stable modes of vibration. Depending on the initial conditions the system may enter one of two states of vibration in the static equilibrium plane with the out-of-plane displacement equal to zero, or a whirling state with the out-of-plane displacement different from zero. Possible solutions are found both analytically and numerically. Next, the chord elongation is modelled as a narrow-banded Gaussian stochastic process, and it is shown that all the indicated harmonic solutions now become instable with probability one. Instead, the cable jumps randomly back and forth between the two in-plane and the whirling mode of vibration. A theory for determining the probability of occupying either of these modes at a certain time is derived based on a homogeneous, continuous time three states Markov chain model. It is shown that the transitional probability rates can be determined by first-passage crossing rates of the envelope process of the chord wise component of the support point motion relative to a safe domain determined from the harmonic analysis of the problem. 相似文献
945.
针对强磁场实验装置(SHMFF)的链式高压有源电力滤波方案规划,基于有源滤波系统的非线性特性, 采用分数阶值。PI 控制器替代普通PI 控制器,在此基础上引入粒子群算法优化指令电流PI 控制器参数,并通过 实验对比分析了人工整定的PI 控制器与PSO 整定的PI 控制器的运行效果。经样机实验表明,采用的PSO 算法 整定的电流内环控制器是正确的,且具有一定的参考价值。 相似文献
946.
A label-free and enzyme-free sensitive fluorescent detection of human immunodeficiency virus (HIV) deoxyribonucleic acid (DNA) based on isothermal hybridization chain reaction (HCR) was developed. A G-quadruplex sequence which was incorporated into one of the two hairpin probes was inactive in the absence of target DNA. However, at the presence of target DNA numerous G-quadruplexes along DNA nanowires were self-assembled through HCR. Using N-methyl mesoporphyrin IX (NMM) as the fluorophore, a “turn-on” fluorescent response would be achieved and detected as low as 0.5 nmol L−1 of HIV DNA. This proposed method was applied to detect HIV DNA in biologic samples with satisfactory results. 相似文献
947.
The aggregate claim amount in a particular time period is a quantity of fundamental importance for proper management of an insurance company and also for pricing of insurance coverages. In this paper, we show that the proportional hazard rates (PHR) model, which includes some well-known distributions such as exponential, Weibull and Pareto distributions, can be used as the aggregate claim amount distribution. We also present some conditions for the use of exponentiated Weibull distribution as the claim amount distribution. The results established here complete and extend the well-known result of Khaledi and Ahmadi (2008). 相似文献
948.
We discuss and evaluate the current state of second-order and higher-order multivariate calibration methods devoted to the determination of compounds in non-multilinear data systems. We examine possible causes of multilinearity deviations:
- (1)
- a non-linear relationship between signal and analyte concentration;
- (2)
- a signal for a given sample that is non-multilinear; and,
- (3)
- component profiles that are not constant across the different samples.
949.
Antoni SánchezSonia Recillas Xavier FontEudald Casals Edgar GonzálezVíctor Puntes 《Trends in analytical chemistry : TRAC》2011,30(3):507-516
This article presents recent developments on the use of inorganic nanoparticles (NPs) for environmental remediation in polluted soil, water and gas. The number of publications on these topics has grown exponentially in recent years, especially those focused on wastewater treatment. Among these topics, removal of metals has become the most popular, although some works relate to the use of nanomaterials for the elimination of nutrients (e.g., nitrogen and some persistent organic pollutants). However, this growth has not been accompanied by knowledge about the behavior of NPs once used and released into the environment. In this article, we also comment upon the current situation with respect to NP toxicology (nanotoxicology). A remarkable number of different toxicology tests has been applied to NPs, often making it very difficult to interpret or to generalize the results. We analyze in detail the bioluminescence, Daphnia magna and other tests, and give some preliminary results obtained in our work. 相似文献
950.
L.O. Leal 《Trends in analytical chemistry : TRAC》2011,30(5):761-770
This review outlines automated methodologies developed for measuring arsenic in environmental samples. We report the state of the art of the most significant methods exploiting multicommutation flow techniques coupled to hydride generation-atomic fluorescence determination. We review analytical methods used and present a comparative evaluation of them. We also discuss the on-line pre-concentration procedure as being of particular interest in the development of fully automated methods. 相似文献