Discrete Chaotic Dynamics for Economics and Social Science

摘要

Discrete chaotic dynamical systems deal with the maps that are extremely sensitive to their initial conditions, which are known as the butterfly effect. The discrete chaotic dynamical systems are characterized by the existence of a positive Lyapunov exponent. It is well known that even a first-order discrete dynamical system can exhibit an astonishing variety of dynamical behaviors ranging from stable fixed points to chaotic regions. Discrete chaotic dynamical systems have emerged as an important field of research in science and engineering especially in areas such as biology, economics, cryptosystems, and secure communications.