ABSTRACT

Complex Systems are natural systems that science is unable to describe exhaustively. Examples of Complex Systems are both unicellular and multicellular living beings; human brains; human immune systems; ecosystems; human societies; the global economy; the climate and geology of our planet. This book is an account of a marvelous interdisciplinary journey the author made to understand properties of the Complex Systems. He has undertaken his trip, equipped with the fundamental principles of physical chemistry, in particular, the Second Law of Thermodynamics that describes the spontaneous evolution of our universe, and the tools of Non-linear dynamics. By dealing with many disciplines, in particular, chemistry, biology, physics, economy, and philosophy, the author demonstrates that Complex Systems are intertwined networks, working in out-of-equilibrium conditions, which exhibit emergent properties, such as self-organization phenomena and chaotic behaviors in time and space.

chapter 1|20 pages

Introduction

chapter 3|56 pages

Out-of-Equilibrium Thermodynamics

chapter 4|19 pages

An Amazing Scientific Voyage

From Equilibrium up to Self-Organization through Bifurcations

chapter 9|76 pages

The Emergence of Order in Space

chapter 10|62 pages

The Emergence of Chaos in Time

chapter 11|35 pages

Chaos in Space

The Fractals

chapter 12|41 pages

Complex Systems

chapter 13|45 pages

How to Untangle Complex Systems?