Control and Dynamical Systems | Applied Mathematics | University of Waterloo

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

A New Physics Theory of Life | Quanta Magazine

mathswithmuza on Instagram: "Nonlinear transformations in mathematics refer to mappings that do not preserve straight lines and can introduce complex behaviors such as stretching, compressing, twisting, or folding of space. Unlike linear transformations, which maintain vector space operations and can be represented by matrices, nonlinear transformations often distort geometry in intricate ways. They are widely used in areas like chaos theory, dynamical systems, and image processing, where their