Blown-Up Theory: The Beginning of the Era of Discontinuity
The following sections are included:
Looking at Whole Evolutions
Mathematical Physics Meanings of Blown-Ups
Nonlinear Transitional Changes: A Mathematical Character of Blown-Ups
Blown-Ups of Quadratic Nonlinear Models
Blown-Ups of Cubic Polynomial Models
Blown-Ups of nth Degree Polynomial Models
Blown-Ups of Higher Order Nonlinear Evolution Systems
Blown-Ups of Nonlinear Time-Space Evolution Equations
Mapping Properties of Blown-Ups and Related Observ-Control Problems
Spinning Current: A Physics Characteristic of Blown-Ups
Bjerkness Circulation Theorem
Eddy Motions of the General Dynamic System
The Concept of “Wave Motions” and That of Eddy Motions
Equal Quantitative Effects
References