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Blown-Up Theory: The Beginning of the Era of Discontinuity

      https://doi.org/10.1142/9789812778093_0003Cited by:0 (Source: Crossref)
      Abstract:

      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