1994年, 第7卷, 第2期　刊出日期：1994-04-15

  

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  CHAOS IN TOPOLOGICAL MARKOV CHAINS

  CAO Liangyue;WU Shijing;ZHAO Hanzhang

  Journal of Systems Science and Complexity. 1994, 7(2): 97-105.

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  In this paper chaos and the relation between it and the positive topological entropy are discussed in topological Markov chains as well as their factors.
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  AN ALGORITHM ON THE GITTINS INDEX

  LIU Jianyong;LIU Ke

  Journal of Systems Science and Complexity. 1994, 7(2): 106-114.

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  Multiproject bandit processes are discusaed in this paper. We give an algorithm of successive approximation to find the Gittins indexes, and discuss the relevant error estimate.
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  EDGE RECONSTRUCTION OF PLANAR GRAPHS WITH MINIMUM DEGREE AT LEAST THREE-(Ⅲ)

  FAN Hongbing

  Journal of Systems Science and Complexity. 1994, 7(2): 115-120.

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  The object of this series of papers is to show that every planar graph of minimum degree at least 3 is edge reconstructible. In this paper, we prove that 3-connected planar graphs with minimum degree 3 and with each of their 3-vertex deleted subgraphs being 3-connected, are edge reconstructible.
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  STRONG LAWS OF LIFETIME FOR A CONSECUTIVE K-OUT-OF-N: F SYSTEM

  QI Yongcheng

  Journal of Systems Science and Complexity. 1994, 7(2): 121-127.

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  A consecutive K-out-of-n: F system consists of n identical and stochastically independent components arranged on a line. The system will fail if and only if at least k consecutive components fail. Let Tn be the lifetime of the system. The strong limit laws are investigated in this paper.
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  DIFFERENTIAL CRYPTANALYSIS OF A SIMPLE BLOCK CIPHER

  YANG Junhui

  Journal of Systems Science and Complexity. 1994, 7(2): 128-132.

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  The method of differential cryptanalysis is applied to solve a DES type block cipher with a particularly simple confusion function.
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  NON-EXISTENCE OF SINGULAR CYCLES IN AQUADRIC DIFFERENTIAL SYSTEM WITH FINE FOCUS OF ORDER THREE

  LU Gang;LIANG Zhaojun

  Journal of Systems Science and Complexity. 1994, 7(2): 133-139.

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  The problem of existence or non-existence of singular cycles (or komoclinic loops and keteroclinic cydes as being termed in the modern literature of nonlinear dyndric systems) is one of the most important subjects in the study of quadratic differential systems. In this paperl we prove that there edest no singular cycles either connecting finite singular points or connecting singular points at infinity for a quadratic differential system with fine focus of order three.
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  EXISTENCE OF NONTRIVIAL SOLUTIONS FOR CRITICAL SEMILINEAR BIHARMONIC EQUATIONS

  GU Yonggeng;DENG Yinbin;WANG Xujia

  Journal of Systems Science and Complexity. 1994, 7(2): 140-152.

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  In this paper we will study the existence and nonexistence of nontrivial solutions to the problem, where p = (N > 4) is the critical sobolev exponent. This result is a extension of [1].
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  PARALLE DOMAIN DECOMPOSITION ALGORITHMS FOR A GENERALIZED STOKES PROBLEM

  CHU Delin;ZHOU Fangjun

  Journal of Systems Science and Complexity. 1994, 7(2): 153-168.

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  In this paper, a generalized Stokes problem is solved by multi-subdomain decomposition methods, and three parallel domain decomposition algorithms are proposed and analyzed. The derived results show that these algorithms converge to the solution of the generalized Stokes problem we solved; the convergence rate and the condition number of the preconditioned system are nearly optimal.
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  A METHOD TO FACTORIZE THE SPECTRAL DENSITY OF MULTIPLE MOVING AVERAGE PROCESSES

  LI Lei

  Journal of Systems Science and Complexity. 1994, 7(2): 169-176.

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  Sometimes we have to compute the parameters of a multiple moving average process from its known autocovariances or spectral density. This paper proposes an iterative method by establishing a state space model for the process.
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  THE POPULATION DYNAMICS WITH N-INTERSECTIONS

  GUO Baozhu

  Journal of Systems Science and Complexity. 1994, 7(2): 177-186.

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  In this paper, we consider a closed Population system with n-intersections. It is proved that there exists a critical fertility distribution which leads to the stable population state. The existence and uniqueness of the solution of a nonlinear system with logistic term are proved.
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  FRACTIONAL DERIVATIVES OF WEIGHTED BERGMAN FUNCTIONS

  LOU Zengjian

  Journal of Systems Science and Complexity. 1994, 7(2): 187-192.

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  In the theory of Bergman spaces, Watanable[4] and Stojan[5] considered the problems of determining the space Aq in which every function f's derivative j'belongs to AP. In this paper we consider and solve the same problems in the general spaces A^{p,q,a} (A^{p.p.0} = A^P), and generalize f' to the βth fractional derivative of j.