This book puts forward a new mathematical theory to study chaotic
phenomenon. The uniform theory is established on the basis of two
elementary concept of circle and externally tangent square in
mathematics. The author studies the uniformity of a finite set of points
distributed in space by uniform theory. This book also illustrates that
uniform theory performs better than other indices such as entropy and
Lyapunov exponent in chaos measurement by numerous examples.
This book develops a new mathematical tool for studying chaos so it will
be appealing to students and researchers interested in theory of chaos.
It also has potential applications in various fields such as
Engineering, Forestry and Ecology.