PANSYSTEMS PHILOSOPHY,PANSYSTEMS MATHEMATICS(PPPM)AND APPLICATIONS TO APTMS:AFFAIROLOGY,PHYSICS,TECHNOLOGY,MEDICIEN AND STRATEGICS(Ⅱ)

A new type of philosophy and mathematics from the pansystems view is introduced here,including the7 philosophy theories(7PT)and related mathematizing researches.Many second/third philosophies are developed within pansystems framework and related applications to APTMS.     

PANSYSTEMS PHILOSOPHY,PANSYSTEMS MATHEMATICS(PPPM) AND APPLICATIONS TO APTMS:AFFAIROLOGY,PHYSICS,TECHNOLOGY,MEDICINE AND STRATEGICS(Ⅰ)

A new type of philosophy and mathematics from the pansystems view isintroduced here,including the7 philosophic theories(7PT)and related mathematicresearches.Many second/third philosophies are developed within pansystems framework and related applications to APTMS.     

FIXED PANSYSTEMS THEOREMS AND PANSYSTEMS LOGIC CONSERVATION OF CHAOS

The study of nonlinear problems was developed in works by means of thepansystems methodology (PM) which does not need the condition related to differentialmanifolds and linear space. In work [2], within the framework of PM, we proved that studyof panchaos, panattractor and strange panattractor can be transformed conditionally intosome forms of fixed subsets. As a continuation of work [2], we now research the pansystemslogic conservation of panchaos, panattractor, strange panattractor and some other fixedsubsets.     

PANSYSTEMS STUDIES IN STABILITY,BIFURCATION AND CHAOS

This paper divdes fixed subsets into three kinds, mainly discusses the exitrtence of Ⅱ-type fixed subset, connects the investigations in fixed subsets with the studies in non-linearproblems, such as stability, bifurcation, chaos, etc., and proposes a kind of discretesimulation to Liapunov stability and his second method.     

PANSYMMETRY AND FIXED PANSYSTEMS THEOREMS

In this paper, we continue the research of fixed pansystems theorems presented in ref, and discuss the existence,the structure and the number of fixed subsets.     

INVESTIGATION AND APPLICATIONS OF PANSYSTEMS RECOGNITION THEORY AND PANSYSTEMS-OPERATIONS RESEARCH OF LARGE-SCALE SYSTEMS (Ⅰ)

In this work, a sort of recognition theory and operations research of large scale systems are developed within the framework of pansystems methodology. We establish a series of theorems concerning pansystems relations, which discuss some fundamental problems of interdisciplines from the viewpoint of generalized system-transformation-symmetry in things mechanism, and are connected closely with mathematical physics systems thinking science bioecological sciences and the methodological investigation of mechanical foundation. This paper offers 100 pansystems theorems.     

FIXED PANSYSTEMS THEOREMS AND EIGEN-FUZZY SETS

In this paper,we apply fixed pansystems theorems to study when a fuzzytransformation has a nonzero eigen-fuzzy set.Many necessary conditions and sufficientconditions are obtained Furthermore,the properties of nonzero eigen-fuzzy sets areinvestigated,and the results presented in Ref.[4]are extended.     

INVESTIGATION AND APPLICATIONS OF PANSYSTEMS RECOGNITION THEORY AND PANSYSTEMS-OPERATIONS RESEARCH OF LARGE-SCALE SYSTEMS(Ⅰ)

In this work, a sort of recognition theory and operations research of large scale systems are developed within the framework of pansystems methodology. We establish a series of theorems concerning pansystems relations, which discuss some fundamental problems of interdisciplines from the viewpoint of generalized system-transformation-symmetry in things mechanism, and are connected closely with mathematical physics systems thinking science bioecological sciences and the methodological investigation of mechanical foundation. This paper offers 100 pansystems theorems.     

PANSYSTEMS METHODOLOGY AND CONSTRUCTION OF MAGIC SQUARES

ＩｎｔｒｏｄｕｃｔｉｏｎＡｒｅｆｉｎｅｄｅｐｉｔｏｍｅｏｆｖａｒｉｏｕｓｐａｎｓｙｓｔｅｍｓｍｅｔｈｏｄｓｉｓｔｏｃｏｍｐｒｅｈｅｎｄａｎｄｏｐｅｒａｔｅａｂｏｕｔ 2 0ｐａｎｓｙｓｔｅｍｓｃａｔｅｇｏｒｉｅｓｗｈｉｃｈｃａｎｂｅｅｘｐａｎｄｅｄａｓｔｈｅｆｏｌｌｏｗｉｎｇｐｉｔｈｙｆｏｒｍｕｌａｓｅｘｐｒｅｓｓｉｏｎｓ:Ｔｈｅｐａｎｄｅｒｉｖａｔｉｖｅｓ (ｏｒｔｈｅｃｈａｎｇｅ＿ｃｈａｎｇｅｒｅｌａｔｉｏｎｓ)ｏｆｔｈｅｅｘｔｅｒｉｏｒ＿ｉｎｔｅｒｉｏｒ(ｏｒｔｈｅｆｕｎｃｔｉｏｎ＿ｓｔｒｕｃｔｕ…     

INVESTIGATION AND APPLICATIONS OF PANSYSTEMS RECOGNITION THEORY AND PANSYSTEMS-OPERATIONS RESEARCH OF LARGE-SCALE SYSTEMS(Ⅱ)

Forming a connecting link between what goes before and comes after,this papersummarizes the general framework of pansystems methodology and related mathematicalmodelling of fundamental concepts including generalized systems,structure,function,entirety principle of system,pansystems relations,pantransformations,panderivatives,pansymmetries,generalized quantization,etc.     

Pansystems Analysis: Mathematics, Methodology, Relativity and Dialectical Thinking

ＩｎｔｒｏｄｕｃｔｉｏｎＡｓａｎｅｎｒｏｌｌｅｄｎｅｗｄｉｓｃｉｐｌｉｎｅｉｎＣｈｉｎｅｓｅｌｉｂｒａｒｙｃｌａｓｓｉｆｉｃａｔｉｏｎｐａｎｓｙｓｔｅｍｓｔｈｅｏｒｙｉｓａｔｒａｎｓｆｉｅｌｄｍｕｌｔｉｌａｙｅｒｎｅｔｗｏｒｋ＿ｌｉｋｅｒｅｓｅａｒｃｈｗｉｔｈｔｈｅｅｍｐｈａｓｉｓｏｎｐａｎｓｙｓｔｅｍｓ ,ｗｈｉｃｈｅｘｐｌｏｒｅｓｃｅｒｔａｉｎｃｏｍｂｉｎａｔｉｏｎｓｏｆｍａｔｈｅｍａｔｉｃａｌｔｈｉｎｋｉｎｇ ,ｓｙｓｔｅｍｓｔｈｉｎｋｉｎｇ ,ｄｉａｌｅｃｔｉｃａｌｔｈｉｎｋｉｎｇａｎｄｐｏｅ…     

Pansystems logic conservation of bifurcation,catastrophe, chaos and stability

It is in references[4,5]that the combination of the relative researches of pansystems methodology and the researches of bifurcation,catastrophe,chaos and stability in nonlinear mechanics was put forward and the concepts were redefined from the point of view of pansystems methodology.The present paper studies the logic conservation law of these nonlinear mechanics phenomena under the framework of pansystems methodology.     

The pansystems view of prediction and blow-up of fluid

ＴＨＥＰＡＮＳＹＳＴＥＭＳＶＩＥＷＯＦＰＲＥＤＩＣＴＩＯＮＡＮＤＢＬＯＷ－ＵＰＯＦＦＬＵＩＤＯｕｙａｎｇＳｈｏｕ－ｃｈｅｎｇ（欧阳首承）（ＣｈｅｎｇｄｕＭｅｔｅｏｒｏｌｏｇｉｃａｌＩｎｓｔｉｔｕｔｅ,Ｃｈｅｎｇｄｕ６１００４１）（ＲｅｃｅｉｖｅｄＪａ...     

Pansystems clustering analysis of complex systems

In this paper, by use of equivalence operators δ_i and semi-equivalence operators ε_i we study the clustering problems of complex systems, present δ_i(1,3) disconnection principle,dual transformation principle and large-scale systems decomposition principle for analizing and operating complex systems, discuss interconnectivity and disconnectivity of complex systems in detail and present some related theorems. Finally, we discuss the levels of systems according to pansystems, clustering approach proposed in this paper.     

Variation transforming analysis (II)

This paper introduces some related concepts of pansystems analysis (such as pansystem, pansystem space, pansystem logic space, pometric pansystem, etc), and develops the convex set theory, Banach's theorem of completeness, Lax equivalence theory, theorems of Kuhn-Tucker type and Dubovitsky-Milutin type into the pometric (partial ordered metric) pansystem forms, they are different from traditional results. Furthermore, the general stability of operator equations and MSP transforming principles of approximation are investigated.