Chaos theory, a modern approach of nonlinear dynamic systems

Abstract

Chaos theory is a branch of mathematics focusing on nonlinear dynamic systems. As a relatively new field with a significant applicability area, chaos theory is an active research area involving many different disciplines (mathematics, topology, physics, social systems, population modeling, biology, meteorology, astrophysics, information theory, computational neuroscience, cryptography, robotics etc.). The availability of cheaper and more powerful computers has made a major contribution to the achievement of major advances in nonlinear dynamic systems theory, the interest in deterministic chaos has increased enormously, being reflected in both literature and real life.

Keywords

• chaos
• determinism
• dynamical system
• phase space
• attractor
• fractal