Are Chaotic Attractors just a Mathematical Curiosity or Do They Contribute to the Advancement of Science?

Abstract

Since the seminal work of Henri Poincaré on the three-body problem, and more recent research dating back to the second half of the 20th century on chaotic dynamical systems, many applications have emerged in different domains (economics, electronic, cryptography, physics, etc). We try to describe the evolution of the last 50 years on the subject and to find out whether applications have compromised the purity and beauty of theoretical research.

Keywords

• chaotic attractor
• memrsitor
• optimization
• cryptogrpahy
• economy
• chaotic attractor
• memristor
• optimization
• cryptography
• economy