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C^1连续的插值X-样条曲线的构造及性质
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作者 高鹰 《广州师院学报(自然科学版)》 2000年第11期13-16,41,共5页
C .Blanc和C .Schlick提出了C2 连续的插值X_样条曲线。这里给出了C1
关键词 C^1连续 插值X-样条 局部控制性 C^2连续
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逼近X-样条在字型设计中的应用 被引量:1
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作者 高鹰 田森平 《计算机工程与科学》 CSCD 2000年第6期11-13,共3页
本文给出了逼近 X-样条的构造算法、性质及其在字型设计中的应用 ;并给出了用逼近 X-样条设计的两个字型实例。
关键词 逼近X-样条 局部控制性 字型设计 算法
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EQUIVALENCE BETWEEN EXACT INTERNAL CONTROLLABILITY OF THE KIRCHHOFF PLATE-LIKE EQUATION AND THE WAVE EQUATION 被引量:1
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作者 LIU KANGSHENG YU XINHUI 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2000年第1期71-76,共6页
When the rotatory inertia is taken into account, vibrations of a linear plate can be described by the Kirchhoff plate equation. Consider this equation with locally distributed control forces and some boundary conditio... When the rotatory inertia is taken into account, vibrations of a linear plate can be described by the Kirchhoff plate equation. Consider this equation with locally distributed control forces and some boundary condition which is the simply supported boundary condition for a rectangular plate. In this paper, the authors establish exact controllability of the system in terms of the equivalence to exact internal controllability of the wave equation, by means of a frequency domain characterization of exact controllability introduced recently in [11]. 展开更多
关键词 Kirchhoff plate equation Locally distributed control Exact controllability Wave equation Frequency domain condition
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Internal Controllability for Parabolic Systems Involving Analytic Non-local Terms
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作者 Pierre LISSY Enrique ZUAZUA 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2018年第2期281-296,共16页
This paper deals with the problem of internal controllability of a system of heat equations posed on a bounded domain with Dirichlet boundary conditions and perturbed with analytic non-local coupling terms. Each compo... This paper deals with the problem of internal controllability of a system of heat equations posed on a bounded domain with Dirichlet boundary conditions and perturbed with analytic non-local coupling terms. Each component of the system may be controlled in a different subdomain. Assuming that the unperturbed system is controUable--a property that has been recently characterized in terms of a Kalman-like rank condition--the authors give a necessary and sufficient condition for the controllability of the coupled system under the form of a unique continuation property for the corresponding elliptic eigenvalue system. The proof relies on a compactness-uniqueness argument, which is quite unusual in the context of parabolic systems, previously developed for scalar parabolic equations. The general result is illustrated by two simple examples. 展开更多
关键词 Parabolic systems Non-local potentials ANALYTICITY Null controllability Kalma~ rank condition Spectral unique continuation
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Harvest control for a delayed stage-structured diffusive predator-prey model
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作者 Xuebing Zhang Hongyong Zhao 《International Journal of Biomathematics》 2017年第1期45-76,共32页
In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the l... In this paper, we have considered a delayed stage-structured diffusive prey-predator model, in which predator is assumed to undergo exploitation. By using the theory of partial functional differential equations, the local stability of an interior equilibrium is established and the existence of Hopf bifurcations at the interior equilibrium is also discussed. By applying the normal form and the center manifold theory, an explicit algorithm to determine the direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions is derived. Finally, the complex dynamics are obtained and numerical simulations substantiate the analytical results. 展开更多
关键词 STABILITY Hopf bifurcation delay.
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PREDICTING CHAOTIC TIME SERIES WITH IMPROVED LOCAL APPROXIMATIONS
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作者 MUXiaowu LINLan ZHOUXiangdong 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2004年第2期207-219,共13页
In this paper, new approaches for chaotic time series prediction areintroduced. We first summarize and evaluate the existing local prediction models, then proposeoptimization models and new algorithms to modify proced... In this paper, new approaches for chaotic time series prediction areintroduced. We first summarize and evaluate the existing local prediction models, then proposeoptimization models and new algorithms to modify procedures of local approximations. Themodification to the choice of sample sets is given, and the zeroth-order approximation is improvedby a linear programming method. Four procedures of first-order approximation are compared, andcorresponding modified methods are given. Lastly, the idea of nonlinear feedback to raise predictingaccuracy is put forward. In the end, we discuss two important examples, i.e. Lorenz system andRoessler system, and the simulation experiments indicate that the modified algorithms are effective. 展开更多
关键词 chaotic time series PREDICTION local approximations linear programming nonlinear feedback
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