In the realm of mathematical dynamical systems, an attractor denotes a collection of states that a system inclines to approach, regardless of a diverse range of initial conditions within the system. When system values draw near to the values of the attractor, they maintain this proximity even when subjected to minor perturbations.
Proposed Solution:
Implement a selection of well-known chaotic attractors such as the Lorenz attractor, or the Hénon map, etc.
Provide a user-friendly interface to customize initial conditions and parameters of the attractors.
Allow users to visualize the attractors in 2D or 3D spaces, with options such as to zoom and rotate.
Implement trails visualize the trajectories of the attractors.
In the realm of mathematical dynamical systems, an attractor denotes a collection of states that a system inclines to approach, regardless of a diverse range of initial conditions within the system. When system values draw near to the values of the attractor, they maintain this proximity even when subjected to minor perturbations.
Proposed Solution:
Visual Representation: