Selforganization emerges in complex systems from "summary" of Chaos by James Gleick
The concept of self-organization in complex systems is a fascinating phenomenon that defies conventional wisdom. When we think of complexity, we often assume that order must be imposed from the outside in order to maintain stability. However, in the world of chaos theory, we see that complexity can actually give rise to its own order through self-organization. In complex systems, such as a flock of birds or a school of fish, individual entities interact with one another in unpredictable ways. Yet, through these interactions, patterns begin to emerge that are not dictated by any external force. Instead, the system as a whole organizes itself based on the behavior of its individual components. This self-organization is driven by simple rules that govern the behavior of each entity within the system. These rules may be as basic as "follow your neighbor" or "stay close to the group." Yet, when these rules are applied at the individual level, they give rise to complex and often beautiful patterns at the global level. The key to self-organization in complex systems lies in the feedback loops that exist within the system. As entities interact with one another, they receive feedback on their own behavior and adjust accordingly. This constant cycle of feedback and adjustment allows the system to adapt and evolve in real-time, without the need for any external intervention. Self-organization in complex systems challenges our traditional notions of control and predictability. It suggests that order can arise spontaneously from chaos, and that complexity can give rise to its own form of organization. By studying these systems, we can gain valuable insights into the nature of complexity and the ways in which it manifests in the world around us.
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