Form and Structural Stability
DOI link for Form and Structural Stability
Form and Structural Stability book
This chapter considers two major classes of unstable forms, each at an end of a continuous spectrum. First is nonforms by reason of their very complicated internal structure-chaotic and not amenable to analysis. Second is unstable form consists of a number of identifiable objects but whose composition seems contradictory or unusual, for example, the chimera and other monsters. These forms are genetically imprinted into the understanding of space, and their invariant pseudogroups GF are narrowly and strictly adapted to them. The topology of the space of states can be recovered by introducing some measurements; suppose that, by using probes introduced into B, the experimenter can measure some characteristic local parameters. The chapter also considers the geometrical forms like lines, squares, and triangles. It describes the fundamental idea of structural stability and the conditions of scientific experiment. The chapter focuses on isomorphic processes and empirical functions which are used to find the morphogenesis of an object.