Chaos theory

Field of mathematics and science based on non-linear systems and initial conditions

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We include updates on Butterfly effect, Turbulence, For Want of a Nail, Butterfly effect in popular culture, Fractal dimension, Turing pattern, Complexity, Feigenbaum constants, Bifurcation diagram, Self-organized criticality, Complex dynamics, Recurrence plot, Chaotic hysteresis, Transfer operator, Oscillon, Correlation dimension ... and more.

2024
Butterfly effect
Two articles published discussing the second kind of butterfly effect (BE2), challenging its validity in tornado formation and highlighting the lack of rigorous verification using realistic weather models.
2024
Butterfly effect
Physics Today published discussions acknowledging that the second butterfly effect (BE2) has never been rigorously verified using a realistic weather model.
2024
Butterfly effect
Two articles published exploring debates on the butterfly effect, specifically questioning the impact of a butterfly's wing flapping on tornado formation.
2022
Stability of the Solar System
Garett Brown and Hanno Rein from the University of Toronto published a study exploring the long-term stability of the Solar System, examining how stellar flybys could potentially impact the system's orbital dynamics.
2020
Stability of the Solar System
Garett Brown and Hanno Rein of the University of Toronto published a numerical integration study of the Solar System, demonstrating the chaotic nature of Mercury's orbit. Their research revealed that a tiny error in measuring Mercury's current position would prevent accurate prediction of its orbital eccentricity beyond 200 million years in the future.
2012
Innovation butterfly
Edward G. Anderson Jr. and Nitin R. Joglekar published 'The Innovation Butterfly' book through Springer, exploring how small changes in distributed innovation processes can lead to significant and unpredictable outcomes in complex systems.

This contents of the box above is based on material from the Wikipedia articles Stability of the Solar System, Bifurcation diagram, Butterfly effect, Catastrophe theory, Arnold–Beltrami–Childress flow, Singularity (systems theory) & Innovation butterfly, which are released under the Creative Commons Attribution-ShareAlike 4.0 International License.

See Also