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二维分形插值函数及其小波类型级数表示 总被引:3,自引:0,他引:3
本文对一类很广泛的二维分形插值函数进行了研究,给出了分形插值函数连续的充分必要条件和一种构造迭代函数系统使其吸引子是连续函数的方法,并将分形插值函数表示为一个二维小波类型级数,其“母函数”是由迭代函数系统中的位移函数所决定,这种表示方式不仅提供了一种生成分形插值函数有效方法,而且对研究分形插值函数的性质及所描述的物理对象的特性也是十分有意义。 相似文献
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针对二维连续型随机变量的线性函数的积分定限和计算问题,提出了一种更加简单的不等式组定限方法和系统的计算步骤. 相似文献
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提出了一类新的三维混沌系统,通过构造出拉格朗日函数得到了系统的一个上界.并讨论该系统稳定点的性质.最后,给出了数值模拟. 相似文献
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本给出了二阶函数矩阵可以化为对角形函数矩阵的充要条件,并讨论了相应的非自治系统轨线性态,其中解轨线的遍历性是平面自治系统所没有的。 相似文献
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研究了一类混沌系统的函数矩阵投影同步问题,基于函数矩阵方法,利用Lyapunov稳定性理论和极点配置理论,设计了两个连续混沌系统之间的同步方案,同时设计了两个离散混沌系统之间的同步方案,实现了驱动系统与动态系统按给定的函数矩阵投影同步,并给出了证明,通过对Lorenz混沌系统,和Henon系统的数值模拟,表明了该方法的有效性. 相似文献
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Bogdanov-Takens系统的三次齐次扰动 总被引:3,自引:0,他引:3
对Bogdanov-Takens向量场的三次齐次扰动系统进行了讨论,得到了当其前二阶Melnikov函数恒为0时,则其后各阶Melnikov函数一定为0,且对于小的扰动参数,此系统为可积的或为Hamilton的;并对M1(h)≠0和M1(h)≡0,M2(h)≠0两种情形该系统的分岔结构给出了较全面的结论。 相似文献
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A. P. Ushakova 《Journal of Mathematical Sciences》1998,89(5):1582-1589
An estimate of stability of characterization of distribution types is obtained for the case of additive types. Under some
conditions, the estimate has the order ε1/3L(ε), where L(ε) is a slowly varying function.
Proceedings of the Seminar on Stability Problems for Stochastic Models, Moscow, Russia, 1996, Part I. 相似文献
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Mathematical Notes - We study the initial boundary-value problem for three-dimensional systems of equations of pseudoparabolic type. The system is similar to the Oskolkov system, but differs from... 相似文献
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Yu. N. Lin'kov 《Journal of Mathematical Sciences》1991,53(4):409-415
We give a characterization of the types of asymptotic discernibility of families of hypotheses in the case of hypothetical measures that are not, in general, mutually absolutely continuous. The case when the logarithm of the likelihood ratio admits an asymptotic expansion of the type of an expansion with local asymptotic normality is examined in detail. Examples are studied.Translated fromTeoriya Sluchainykh Protsessov, Vol. 15, pp. 64–71, 1987. 相似文献
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本文研究了完全正则半群簇的子簇格[V+∩PV,V+∩PV]的某些格运算性质,我们证明了簇V+∩PV可分解为V与V+∩PV的并;对任意完全正则半群簇W,有W∩(V∨V+∩PV)=(W∩V)∨(W∩V+∩PV).特别地,我们得到了等式V+∩PV=V成立的若干条件. 相似文献
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S. V. Kerov 《Journal of Mathematical Sciences》1988,41(2):995-999
The asymptotic distribution of tensors of degree N in symmetry types is studied in this paper.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 155, pp. 181–186, 1986. 相似文献
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Varieties of Sums of Powers describe the additive decompositions of a homogeneous polynomial into powers of linear forms. The study of these varieties dates back to Sylvester and Hilbert, but only few of them, for special degrees and number of variables, are concretely identified. In this paper we aim to understand a general birational behavior of VSP. To do this we birationally embed these varieties into Grassmannians and prove the rational connectedness of many VSP in arbitrary degrees and number of variables. 相似文献
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B. P. Osilenker 《Mathematical Notes》1969,6(3):621-627
Sufficient conditions are obtained in terms of matrix elements for the boundedness of Lebesgue functions of linear methods of summation of expansions in orthogonal systems of polynomial type.Translated from Matematicheskie Zametki, Vol. 6, No. 3, pp. 277–286, September, 1969. 相似文献