2002年, 第15卷, 第3期　刊出日期：2002-07-15

  

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  ON LIMITATIONS OF THE SAMPLED-DATA FEEDBACK FOR NONPARAMETRIC DYNAMICAL SYSTEMS

  Feng XUE;Lei GUO

  Journal of Systems Science and Complexity. 2002, 15(3): 225-250.

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  In this paper, we study a basic class of first order sampled-data control systems with unknown nonlinear structure and with sampling rate not necessarily fast enough, aiming at understanding the capability and limitations of the sampled-data feedback.
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  AN AGENT-BASED SIMULATION ON MARKET CONSIDERING KNOWLEDGE TRANSITION AND　SOCIAL IMPACT

  Tieju Ma;Mina Ryoke;Yoshiteru Nakamori

  Journal of Systems Science and Complexity. 2002, 15(3): 251-260.

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  In this paper, an agent-based simulation about knowledge transition associated with social impact in market is introduced. In the simulation, the genetic algorithm is used to generate the next generation products and a dynamic social impact model is used to simulate how customers are influenced by other customers.
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  MARSHALLIAN DEVIATION:NEW OBSERVABLE　CRITERION TO MEASURE TRANSACTION PATHS　IN DOUBLE AUCTION MARKETS

  Wen Jie ZHAN;Shou Yang WANG;Jin Long ZHANG;Jie YANG;K.K.Lai

  Journal of Systems Science and Complexity. 2002, 15(3): 261-277.

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  In measuring the trade process in a double auction (DA) market, there is not any observable criterion that is able to describe the matching pairs and their transaction order dynamically. In this paper, we propose a new observable criterion called Marshallian deviation.
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  BLOW-UP OF SOLUTIONS OF THE IGNITION　MODEL

  Yan Ling LI;Jian Hua WU

  Journal of Systems Science and Complexity. 2002, 15(3): 278-281.

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  By use of maximum principle and auxiliary function method, the paper dis-cusses the blow-up sets of the solutions of the ignition model in two cases. It is obtained that the solutions blow up in single point in nonsymmetric case and that the solutions blow up totally or at a xouple of points in symmetric case.
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  THE LONG TIME BEHAVIORS OF　NON-AUTONOMOUS EVOLUTION SYSTEM　DESCRIBING GEOPHYSICAL FLOW WITHIN THE　EARTH

  Chun Shan ZHAO;Kai Tai LI;Ai Xiang HUANG

  Journal of Systems Science and Complexity. 2002, 15(3): 282-294.

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  In this paper, the long time behaviors of non-autonomous evolution system describing geophysical flow within the earth are studied. The uniqueness and existence of the solution to the evolution system and the existence of uniform attractor are proven.
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  HAJóS' CONJECTURE AND CONNECTIVITY OF EULERIAN GRAPHS

  Bao Gang XU

  Journal of Systems Science and Complexity. 2002, 15(3): 295-298.

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  Hajos' conjecture asserts that a simple eulerian graph on n vertices can be decomposed into at most n-1/2 circuits. In this paper, we propose a new conjecture which is equivalent to Hajos' conjecture, and show that to prove Hajos' conjecture, it is sufficient to prove this new conjecture for 3-connected graphs.
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  STUDY ON AN SIS EPIDEMIC MODEL WITH TIME VARIANT DELAY

  San Ling YUAN;Zhi En MA

  Journal of Systems Science and Complexity. 2002, 15(3): 299-306.

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  In this paper, we study an SIS epidemic model with a time variant delay. By means of Liapunov functional, some sufficient conditions of global stability to endemic equilibrium and disease free equilibrium have been obtained. The influence of time delay on the stability of equilibria is displayed.
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  UNIFORM PERSISTENCE AND GLOBAL ATTRACTIVITY FOR NONAUTONOMOUS COMPETITIVE SYSTEMS WITH DISPERSION

  Xin Yu SONG;Lan Sun CHEN

  Journal of Systems Science and Complexity. 2002, 15(3): 307-314.

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  In this paper, we consider a nonautonomous competitive model with dispersion and a finite number of discrete delays. The system, which consists of two Lotka-Volterra patches, has two competitors: one can disperse between the two patches, but the other is confined to one patch and cannot disperse.
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  CONVOLUTION THEOREM AND ASYMPTOTIC EFFICIENCY IN TWO SIDE TRUNCATED DISTRIBUTION FAMILY——THE NORMAL CASE

  Wei Xing SONG;Ping CHENG

  Journal of Systems Science and Complexity. 2002, 15(3): 315-328.

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  In the distribution family with common support and the one side truncated distribution family, Bickle, I. A. Ibragimov and R. Z. Hasminskii proved two important convolution theorems. As to the two-side truncated case, we also proved a convolution theory.
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  ON AN ELLIPTIC PROBLEM INVOLVING CRITICAL AND SUBLINEAR GROWTH

  Hai Tao YANG

  Journal of Systems Science and Complexity. 2002, 15(3): 329-336.

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  In this paper, the author considers an elliptic problem with critical and sub-linear growth. Some results about the multiplicity and uniqueness of the positive solutions are given by making use of variational method and bifurcation theory.