Thomas' cyclically symmetric attractor - Alchetron, the free social encyclopedia
Thomas' cyclically symmetric attractor - Alchetron, the free soci…
Aug 18, 2017
alchetron.com
The Thomas attractor is a mathematical concept in dynamical systems theory representing a type of chaotic space phase that exhibits cyclic symmetry. It was named after René Thomas, the mathematician who introduced it in 1979. The system is strictly related to the Lorenz attractor another famous chaotic evolutionary space manifold. The 3D Thomas attractor is represented by the combination of three differential equations where the symmetry is invariant under rotations of 120° (or 2π/3 radians) aro
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mathswithmuza on Instagram: "The Thomas Cyclically Symmetric Attractor is a strange attractor discovered by René Thomas, known for its elegant symmetry and chaotic behavior. It emerges from a system of three nonlinear differential equations: dx/dt = sin(y) - bx dy/dt = sin(z) - by dz/dt = sin(x) - bz where b is a parameter that controls the system’s dynamics. For certain values of b, particularly around 0.18, the system exhibits chaos, forming a three-dimensional structure with a beautifully int
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