Strange attractors govern chaotic systems from "summary" of Chaos by James Gleick
In systems that are chaotic, there is a mysterious force at work - a force that seems to pull the system in a particular direction, even though there is no obvious pattern or order. This force is what we call a strange attractor. Strange attractors are like magnets, drawing a system towards a particular state, even in the midst of chaos and unpredictability. What is fascinating about strange attractors is that they are not fixed points or simple patterns. Instead, they are complex and ever-changing, shifting and transforming as the system evolves. This is what gives chaotic systems their unique character - the ability to be both unpredictable and yet drawn towards a certain order. The concept of strange attractors is crucial in understanding chaotic systems because it helps us make sense of the seemingly random behavior that characterizes these systems. By identifying the strange attractors that govern a system, we can begin to see the underlying structure and order that lies beneath the surface chaos. In a way, strange attractors are like hidden keys that unlock the secrets of chaotic systems. They provide a glimpse into the underlying dynamics that shape the behavior of the system, revealing patterns and structures that are otherwise invisible to the naked eye. By studying these strange attractors, we can begin to unravel the mysteries of chaos and gain a deeper understanding of the complex systems that surround us.- Strange attractors are the invisible hand that guides chaotic systems, shaping their evolution and determining their ultimate fate. Without these strange attractors, chaos would be nothing more than pure randomness, devoid of any order or structure. It is this interplay between chaos and order, between unpredictability and determinism, that makes strange attractors such a powerful and compelling concept in the study of chaotic systems.
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