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1 de jun. de 2024 · chaos theory, in mechanics and mathematics, the study of apparently random or unpredictable behaviour in systems governed by deterministic laws. A more accurate term, deterministic chaos, suggests a paradox because it connects two notions that are familiar and commonly regarded as incompatible.
- The Editors of Encyclopaedia Britannica
Chaos theory states that within the apparent randomness of chaotic complex systems, there are underlying patterns, interconnection, constant feedback loops, repetition, self-similarity, fractals and self-organization.
- Chaos Theory and The Secrets of Fractals
- Contradiction and Strange Attractors
- Additional Resources
- Bibliography
There are several surprising features buried in this unpredictability and chaos. They appear mostly in something called phase space, a map that describes the state of a system at various points in time. If you know the properties of a system at a specific "snapshot," you can describe a point in phase space. As a system evolves and changes its state...
The regular patterned weather system without the repetition of the same state seemed like an obvious contradiction. There was an attractor; i.e., the system had a preferred set of states. But the same state was never repeated. The only way to describe this structure is as a fractal. If you look at the phase space of Lorenz's simple weather system a...
Learn more about chaos theory with this explainer article from The Conversation. Read about Edward Lorenz in this short biography from the University of St Andrews. Explore the butterfly effect in more detail with this article from the science communication website Interesting Engineering. Learn more by listening to the episode"Is the Universe Real...
Escot Mangas, Lorenzo. "A brief methodological note on chaos theory and its recent applications based on new computer resources." (2020). Oestreicher, Christian. "A history of chaos theory." Dialogues in clinical neuroscience 9.3 (2007): 279. Ghys, Etienne. "The Lorenz attractor, a paradigm for chaos." Chaos (2013): 1-54. Williams, Garnett. Chaos t...
La teoría del caos es la rama de la matemática, la física y otras ciencias (biología, meteorología, economía, entre ellas) que trata ciertos tipos de sistemas complejos y sistemas dinámicos no lineales muy sensibles a las variaciones en las condiciones iniciales.
Chaos theory is the study of a particular type of systems that evolved from some initial conditions. A small perturbation in the initial setup of a chaotic system may lead to drastically different behavior, a concept popularly referred to as the butterfly effect from the idea that the actions of a butterfly may dramatically alter the physical ...
10 de jul. de 2023 · chaos theory: A field of research in math and physics that studies the patterns of dynamic — or chaotic — systems to better understand and predict their behavior. These patterns emerge from a relationship between these systems and related facets of math known as “strange attractors.”
27 de ago. de 2020 · Chaos, from the Greek khaos, “abyss, that which gapes wide open, that which is vast and empty”, is a relatively young scientific discipline, which however has old and important roots, dating back (at least) to James Clerk Maxwell in 1860 and Henry Poincaré in 1890.
