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In this paper, we prove the existence and uniqueness of relaxation oscillation cycle of a slow–fast modified Leslie–Gower model via the entry–exit function and geometric singular perturbation theory. Numerical simulations are also carried out to illustrate our theoretical result. 相似文献
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Sergio GUTIERREZ 《数学年刊B辑(英文版)》2015,36(5):843-854
An optimal design method for two materials based on small amplitude
homogenization is presented. The method allows to use quite general
objective functions at the price that the two materials should have
small contrasts in their relevant physical parameters. The following
two applications are shown: Stress constrained compliance
minimization and defect location in elastic bodies. 相似文献
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Relations Between Relaxation Modulus and Creep Compliance in Anisotropic Linear Viscoelasticity 总被引:2,自引:0,他引:2
The results obtained previously for scalar and class P completely monotone relaxation moduli are extended to arbitrary anisotropy.
It is shown for general anisotropic viscoelastic media that, if the relaxation modulus is a locally integrable completely
monotone function, then the creep compliance is a Bernstein function and conversely. The elastic and equilibrium limits of
the two material functions are related to each other. The relaxation modulus or its derivative can be singular at 0. A rigorous
general formulation of the relaxation spectrum in an anisotropic viscoelastic medium is given. The effect of Newtonian viscosity
on creep compliance is examined.
Put some makeup on him and lay him to rest. Anonymous 相似文献
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In this contribution, we model the long-time behaviour of the desorption from an LDPE sheet, using non-Markovian random walks. It is shown that the mass of penetrant in the final stage of desorption decays as t
–m
, where m is proportional to the exponent of the probability distribution (t) t
–(1+u), 0 < v < 1. Furthermore, it is shown that this model may lead to the so-called mechanical stretched exponential relaxation, and that Wagner's memory function can be obtained as a special case.Presented at the second conference Recent Developments in Structured Continua, May 23–25, 1990, in Sherbrooke, Québec, Canada 相似文献
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《Angewandte Chemie (Weinheim an der Bergstrasse, Germany)》2018,130(27):8164-8168
Dielectric switches that can be converted between high and low dielectric states by thermal stimuli have attracted much interest owing to their many potential applications. Currently one main drawback for practical application lies in the non‐tunability of their switch temperatures (TS). We report here an ionic co‐crystal (Me3NH)4[Ni(NCS)6] that contains a multiply rotatable Me3NH+ ion and a solely rotatable one due to a more spacious supramolecular cage for the former one. This compound undergoes an isostructural order–disorder phase transition and it can function as a frequency‐tuned dielectric switch with highly adjustable TS, which is further revealed by the variable‐temperature structure analyses and molecular dynamics simulations. In addition, the distinct arrangements and molecular dynamics of two coexisting Me3NH+ ions confined in different lattice spaces as well as the notable offset effect on the promoting/hindering of dipolar reorientation after dielectric transition provide a rarely observed but fairly good model for understanding and modulating the dipole motion in crystalline environment. 相似文献
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Jochen Rau 《Physics letters. A》2012,376(4):370-373
In quantum state tomography, one potential source of error is uncontrolled contact of the system with a heat bath whose detailed properties are not known, and whose impact on the system moreover varies between different runs of the experiment. Precisely these variations provide a handle for reconstructing the system?s effective relaxation dynamics. I propose a pertinent estimation scheme which is based on a steepest-descent ansatz and maximum likelihood. After reconstructing the relaxation dynamics, the original quantum state of the system can be constrained to a curve in state space. 相似文献