... civilization”, we still cannot tell clearly what “time and space” are. Therefore, evolutions and the evolution science contain at least six different implications: © MCB UP Limited 2001 Blown‐up Cybernetics Evolution Systems The motivation for us to write this paper is the fact...

...Shoucheng OuYang; Yi Lin; Zhong Wang; Taoyong Peng The reason why evolutions have been studied as a special science is that there exist reversal and transitional changes – blown‐ups – in the objective reality. However, the first‐push dynamical system has not been able to provide a mechanical...

... in the prediction of earthquakes. Cybernetics Blown‐up Systems Earthquake prediction In electro‐magnetic hydrodynamics, the kinematic equation (Boyd and Sanderson, 1969) is written as follows: (see equation 1) where ρ is the density of the fluids of our interest, \ over right arrow v...

...Yi Lin In this paper, a detailed historical account of the birth, development, and applications of the theory of blown‐ups is given. Kybernetes 27,6/7 842 19. Shoucheng OuYang, where the legend begins Yi Lin Department of Mathematics, Slippery Rock University, Slippery Rock, Pennsylvania, USA...

...Chao Li; Soucheng OuYang; Maocang Tang Based on the theory of blown‐ups, as described by OuYang in 1995 and 1994, for nonlinear dynamic systems on general pansystems transformation, optimization and panderivatives, etc., in this paper, we employ the method, developed in OuYang (1994), to show...

...Tao‐Yong Peng Blown up theory is very important in modern forecasting science, and will result in revolution not only in forecasting theories but also in applied theories and applied methods. Moreover, the blown‐up theory will involve re‐thinking and re‐formulation of some concepts in traditional...

..., Lorenz's ``chaos'' is an ``error volute'' which is trapped into ``calculation of error values Whether it can be named ``chaos'' may need to be discussed with questions. Keywords Blown-up, Chaos, Simplification Kybernetes, Vol. 27 No. 6/7, 1998, pp. 674-690. # MCB University Press, 0368-492X 6.1...

... derivative, the analytical solution of the solitary waves can only be a special case under local conditions, whose general characteristics should contain the blown‐up problem of unintegrability. At the same time, in this paper, we consider the general characteristics of Burgers equation. © MCB UP Limited...

...Yong Wu; Soucheng OuYang Based on the theory of blown‐ups, in this paper, we will analyze chemical reaction problems, such as the rate of chemical reactions, gaseous chemical reactions, liquid chemical reactions, Schlogl’s model and the reaction diffusion equation. This study not only applies...

...Soucheng OuYang; Yong Wu; Yi Lin; Chao Li The discontinuity problem of general non‐linear evolutionary equations and the chaos of complex models of poly‐order are studied. The concept of “blown‐up” of Navier‐Stokes equation is discussed, which was introduced by OuYang in 1994 and 1995. The results...

...Chunhua Peng; Wujie Li The nonhomogeneous information is applied to the study of sudden and severe weather processes in this paper, based on the theory of blown‐ups (OuYang, 1994). Severe weather processes, such as torrential rain and severe convection, are clarified first by using...

...Soucheng OuYang In this article, a review of the past history of open problems and challenges facing the theory of blown‐ups is given. It expresses the hope that the open problems and challenges will be further studied by our readers in the years to come. © MCB UP Limited 1998 Blown‐up...

... the study of mathematical properties of quadratic forms of the first order, for more about this end, see OuYang et al. (1988). Logistic curves are special cases of population models under local conditions. The general characteristics of this model contain blown‐ups, which describe the special...

...Soucheng OuYang; Yong Wu In this paper, we apply the concept of blown‐ups to discuss the laser evolution model. Our first conclusion implies that: after a certain amount of photons have been absorbed under certain conditions, a blown‐up will occur and so some pulse photons will be emitted, whose...

...Yong Wu In this paper, we will derive new understandings of some of the problems of mathematics and physics dealt with in the introduction of the concept of blown‐ups and the study of related traditional thinking logic and establishment of mathematical models. The concept of blown‐ups not only...

...Yi Lin; Soucheng OuYang In this paper, we consider the fundamental characteristics of motion in the universe in terms of the whole and local evolutionary forms of fluids, based on the theory of blown‐ups and the experiment of spinning disc of currents. It is pointed out that the practical meaning...

...Soucheng OuYang; Weixiong Zhong This paper contains an application of the study on shallow water currents. With the employment of the tool of the first and the second lines of defense of the blown‐up graphs, and based on the test forecasting done in 1994 using the software developed for the blown...

... as the nonlinear forcing term, in that they all evolve with time and contain discontinuous reversing changes. Consequently, a theoretical and application system is proposed. The concept of blown‐ups constitutes a key step toward the understanding of whole evolution of non‐linear models. The range of applications...

... = T_m, discontinuity, i.e. blown‐up, occurs to the solutions. The occurrence of the blown‐ups is closely related the abnormal distribution of the initial ground temperatures, and so there might be some connections between blown‐ups and earthquakes. 10. Blown-ups of heatconduction of ground Blown-ups...

...Chao Li; Soucheng OuYang; Yi Lin Based on the concept of blown‐ups of evolution, introduced by OuYang in 1995, for nonlinear models, the logistic model and its modification of population evolutions are analyzed analytically and numerically. Presents results that imply: (1) There does not exist...