In addition , in a certain infinite dimensional space , the paper will provide an example of nonwandering semigroup and a sufficient condition for nonwandering semigroup . according to recent results and methods , we may get the hypercyclic decomposition of nonwandering semigroup . and , we will discuss the hypercyclic decomposition from the multi - hypercyclic operator provided not long ago 本文还将在特定的无穷维空间找出具体的非游荡算子半群例子，将给出非游荡算子半群的一个充分条件，且依照已有的结果和方法获得非游荡算子半群的超循环算子半群分解。
Architecture department of southeast university during 1960s - 1970s , the birth of series theories on self - organizing systems development , such as dissipative structure theory , synergetics , hypercycle , catastrophe , chaotic theory and fractal theory etc , has enriched our understanding of the nature , society and even the universe <中文摘要> = 20世纪60 - 70年代相继诞生的耗散结构理论、协同学、超循环理论、突变论、混沌学和分形理论等一系列系统自组织理论，以系统的发生、发展为重点，探讨了系统的自组织演化问题。
Chapter 3 from four levels such as value ( the theory of value chain ) , cost ( the theory of transaction cost and contract ) , evolution ( the theory of hyper - cycle theory ) and technology ( application and development of vt & it ) carries on theory interpretation why enterprise would rather choose virtual function than market function or internal function 第三章从价值(价值链理论) 、成本(交易费用和契约理论) 、进化(超循环理论) 、技术( vt和it的应用与发展)四个视角对企业选择功能虚拟化而不是功能市场化或功能内部化进行了理论解释。
Secondly , this part provides the theory of risk unconservation and demonstrates it strictly . thirdly , this part throws light on the risk unconservation in venture capital investment with hypercyclic theory , and provides the paradox of risk unconservation when hypercyclic is not valid . at last , this part sets up a multi - layer fuzzy decision model and discusses the risk and revenue of different people with different risk preferences 探讨了联合投资收益与风险分摊的机理；提出了联合投资的风险不守恒定理，并进行了严格的数学推导证明；运用超循环理论对联合投资风险不守恒进行了阐述，并提出了超循环无效时的风险不守恒悖论；然后建立了投资组合的多层模糊决策模型，对不同的风险喜好者的风险和收益进行了探讨。
