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Applications of Classical Scaling Symmetry
Classical Scaling Symmetry second-order differential equation conservation laws central field dynamics
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2011/7/7
Any symmetry reduces a second-order differential equation to a first-order equation: variational symmetries of the action (exemplified by central field dynamics) lead to conservation laws, but symmetr...
Urban chaos and replacement dynamics in nature and society
bifurcation chaos fractal dimension logistical map replacement dynamics Volterra-Lotka’s model urbanization
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2011/7/7
Many growing phenomena in both nature and society can be predicted with sigmoid function. The growth curve of the level of urbanization is a typical S-shaped one, and can be described by using logisti...
Pole solutions in formation of the Saffman-Teylor "finger" with one half of the channel width without surface tension
surface tension integro-differential motion equations Laplacian growth
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2011/7/5
Laplacian growth without surface tension has nice analytical solutions which replace its complex integro-differential motion equations by simple differential equations of poles motion in a complex pla...
Innovative observing strategy and orbit determination for Low Earth Orbit Space Debris
Low Earth Orbit Space Debris orbit determination
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2011/9/9
We present the results of a large scale simulation, reproducing the behavior of a data center for the build-up and maintenance of a complete catalog of space
debris in the upper part of the low Earth...
Aggressive shadowing of a low-dimensional model of atmospheric dynamics
shadowing stalking ensemble forecasting inflation
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2011/7/6
Predictions of the future state of the Earth's atmosphere suffer from the consequences of chaos: numerical weather forecast models quickly diverge from observations as uncertainty in the initial state...
Poisson Yang-Baxter maps with binomial Lax matrices
Poisson Yang-Baxter binomial Lax matrices
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2011/7/7
A construction of multidimensional parametric Yang-Baxter maps is presented. The corresponding Lax matrices are the symplectic leaves of first degree matrix polynomials equipped with the Sklyanin brac...
A Model of Opinion Dynamics with Bounded Confidence and Noise
Opinion Dynamics Bounded Confidence Noise
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2011/7/20
This paper introduces a new model of continuous opinion dynamics with random noise. The model belongs to the broad class of so called bounded confidence models. It differs from other popular bounded c...
等熵磁气体动力学方程组的柯西问题
等熵磁气体动力学方程组 柯西问题 古尔沙问题 整体解
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2012/11/7
研究等熵磁气体动力学方程组的柯西问题.在初值是连续且分片光滑函数的假设下,首先证明了当初始时刻不出现真空时,解中也不会出现真空.其次,证明了该柯西问题存在唯一的连续且分片光滑的整体解.
Ground state properties in non-relativistic QED
Ground state properties non-relativistic QED
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2011/2/21
We discuss recent results concerning the ground state of non-relativistic quantum electrodynamics as a function of a magnetic coupling constant or the fine structure
constant, obtained by the authors...
Internal DLA in Higher Dimensions
Internal DLA Higher Dimensions
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2011/2/21
Let A(t) denote the cluster produced by internal diusion limited aggregation (internal DLA) with t particles in dimension d 3. We show that A(t) is approximately spherical, up to an O(
p log t) er...
正对称Pratt 桁架直腹杆受压大偏心N型圆钢管节点静力性能实验研究
正对称Pratt 桁架 直腹杆受压 大偏心N型圆钢管节点 静力性能 实验研究 极限承载力
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2014/1/17
对在正对称Pratt 桁架中出现的直腹杆受压大偏心N 型圆钢管节点的静力性能进行了单调加载的实验研究。实施了4 个负向大偏心、4个正向大偏心和1个无偏心直腹杆受压N型圆钢管节点实验。该文介绍了节点实验方案,考察了直腹杆受压大偏心圆钢管节点破坏现象,给出了竖向荷载-端位移曲线以及应变强度分布曲线,并将偏心率对节点极限承载力、刚度和延性的影响进行了讨论。实验研究结果表明:节点实验值基本接近刚接理论值,...
Polytopic Invariant Verification and Synthesis for Polynomial Dynamical Systems via Linear Programming
Polytopic Invariant Verification Synthesis for Polynomial Dynamical Systems Linear Programming
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2011/1/18
This paper deals with the verication and the synthesis of polytopic invariant sets for
polynomial dynamical systems. An invariant set of a dynamical system is a subset of the state
space such that ...
Dynamics, Spectral Geometry and Topology
Dynamics Spectral Geometry Topology
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2011/2/28
The paper is an informal report on joint work with Stefan Haller on Dynamics in relation with Topology and Spectral Geometry. By dynamics one means a smooth vector field on a closed smooth manifold; t...
On Foundations of Newtonian Mechanics
classical mechanics continuum mechanics constitutive equations measures
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2011/2/21
Being based on V. Konoplev’s axiomatic approach to continuum mechanics, the paper broadens
its frontiers in order to bring together continuum mechanics with classical mechanics in a new
theory of me...
The existence conditions for periodic motions of the Kowalevski gyrostat in double force field
existence conditions periodic motions Kowalevski gyrostat double force field
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2011/3/3
Изучаются особые периодические движения (критические точки ранга 1 интегрально-
го отображения), найденные в работе М.П.Харламова (Механика твердого тела, вып. 37,
2007) в интегрируемой задаче о дви...