... elaborately, enunciating a new theorem of thermodynamics (Glansdorff and Prigogine, 1971): Cybernetics Biocybernetics Diseases Dynamics Thermodynamics Non‐linear The spectacular phenomenon of Spontaneous Cancer Remission persists in the medical annals, totally inexplicable but real. From time...

...Alexander D. Varshavsky; Duane T. Birnbaum; John M. Beals; Bo E. Saxberg We present a detailed explanation of a mathematical method and numerical technique applied to solve an irregular non‐linear fitting problem that results from attempts to model the calorimetric profiles generated by the binding...

... issues. It is believed that this record will not only benefit us greatly, but also be inductive for young generations in developing their way of thinking and research directions. Keywords Blown-up, Non-linear, Weather forecasts 17.1 Introduction Professor OuYang Shoucheng has studied ``blown-up'' theory...

...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...

... 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...

... discontinuity, i.e. blown-up, occurs to the solutions. The occurrence of the blown-ups is closely related to the abnormal distribution of the initial ground temperatures, and so there might be some connections between blown-ups and earthquakes. Keywords Blown-up, Heat-conduction, Non-linear 10.1 Introduction...

... and characteristics of the theory of blown‐ups. © MCB UP Limited 1998 Blown‐up Cybernetics Logic Non‐linear Systems evolution Systems theory Kybernetes 27,6/7 614 Introduction Discontinuity ± a weakness of calculus and beginning of a new era Yi Lin (Guest Editor) Department of Mathematics, Slippery...