THERMODYNAMIC ENTROPY MODELS OF THE FROZEN-WALL SYSTEM(I)

In this paper,the author describes,and comments on the traditional thermal theory onartificial ground freezing,and points out its important significance and shortcomings.Thefrozen-wall is analysed by system analysis methods.According to matter levels,the frozen-wall is divided into three sub-systems:frozen colloid system,frozen soil system and frozen-wall system.They correspond to different characteristics.The frozen-wall system is a largeopen system with multi-levels and multi-aspects.The problems of stability of the system andits control are the key problems in the techniques of artificial ground freezing.Based onnon-equilibrium thermodynamics and dissipative structure theory methods,the authordiscusses and reveals the problems of the formation and stability of the frozen-wall systemand its thermodynamic nature,and proposes the thermodynamic entropy models of thesystem.The result is a great satisfaction.     

复杂系统的泛系聚类方法

本文利用半等价算子ε_i和相等化算子δ_i研究了复杂系统的聚类问题;阐述了分析运筹复杂系统的δ(1,3)解耦原理、对偶转化原理和大系统分解原理;详细讨论了复杂系统的连通性与解耦性并提供了有关定理.最后,利用泛系聚类方法讨论了复杂系统的层次分析.     

Research on the complicated dynamical behaviors of nonlinear ecosystems (II)

This paper is a further study of reference [1]. In this paper, we mainly discuss the complicated dynamical behaviors resulting from a simple one-dimensional model of nonlinear ecosystems: fixed point motion, periodic motion and chaotic motion etc., and briefly discuss the universality of the complicated dynamical behaviors, which can be described by the first and the second M. Feigenbaun. constants. At last, we discuss the one-side lowering phenomenon due to near unstabilization when the nonlinear ecosystem approaches bifurcation points from unbifurcation side. It is of important theoretical and practical meanings both in the development and utilization of ecological resources and in the design and management of artifitial ecosystems.Supported by the Youth Science Fundation of Chinese Academia Sinica and Youth Fundation of Lanzhou Unviersity.     

Operation analysis of natural resources and their pan-weighted network models

In this paper, we propose a competition-share 3-category principle, on which we unite the problems of natural resources, energy, population and environment and so on into a mutual scheme, and provide a united model for the comprehensive research on these problems. This makes the idea of operation analysis of natural resources clearer and the relationships between each of their parts more obvious. On the basis of the above discussion, we propose mathematical models for the operation analysis of multi-networks and the solution of the above global comprehensive problems. We discuss, especially, Shengke (growth and restraint) relationships between two networks of natural resources and share-competitors and their analysis models, providing mathematical tools for solving the problems of the resource-population and the resource-economy, etc. Supported by Science Fund of Lanzhou University.     

STUDY ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEMS(Ⅲ)

This paper is a continuous study of references[1-2].At first,we introduce theconcept of assembles of ecosystems,and then discuss macro-and micro-synergeticalmethods for ecology study.Combining the two methods,by use of the macroscopic data(observable)outputted from the ecosystems,we can construct their GGLE,master theirinformation changes between,before and after the generalized phase changes(e.g.community successions),and find out the action mechanisms of microscopic factors onmacroscopic results.This may be a new approach to the study of action mechanisms ofcomplex ecosystems.     

非线性生态系统的复杂动力学行为研究(Ⅲ)

本文继续文献[1～2]的研究,首先引进了生态系统的系综概念,在此基础上比较详细地讨论了生态协同学的微观方法和宏观方法.将这二者结合起来,利用生态系统输出(或可以测得)的宏观数据,建立广义金兹堡-朗道方程(GGLE),把握广义相变(群落演替)前后的信息变化,找出其微观对客观结果的作用机制,这也许是对复杂生态系统作用机制研究的一条新途径.     

RESEARCH ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEMS(Ⅱ)

This paper is a further study of reference[1].In this paper,we mainly discuss thecomplicated dynamical behaviors resulting from a simple one-dimensional model ofnonlinear ecosystems:fixed point motion,periodic motion and chaotic motion etc.,andbriefly discuss the universality of the complicated dynamical behaviors,which can bedescribed by the first and the,second M.Feigenbaun.constants.At last,we discuss the“one-side liowering phenomenon”due to near unstabilization when the nonlinear ecosystemapproaches bifurcation points from unbifurcation side.It is of important theoretical andpractical meanings both in the development and utilization of ecological resources and inthe design and management of artifitial ecosystems.     

STUDY ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEM (Ⅰ)

This series of papers is prepared to develop systematically the complicated dynamical behaviors of nonlinear ecosystem and its internal mechanism. In this paper, we state briefly the increasing importance of ecology, describe and comment on the situations and reasons why ecology theory is behind practice. Then, we point out a procedure which modern ecology research should obey, and discuss the four basic characteristics of ecosystem in detad: level, opening, nonlinear and far from equilibrium. At last, we discuss systematically equilibrium and nonequilibrium, stable and unstable, environmental stochasticity and dynamical stochasticity, and conclude that there exists a bridge between deterministic behaviors and stochastic behaviors, which will result in a new model for ecological prediction.