basinofattraction
A basin of attraction is a concept in dynamical systems and chaos theory, referring to the set of initial conditions that lead to a particular attractor. An attractor is a set of states towards which a system tends to evolve, for a wide variety of starting conditions. The basin of attraction for an attractor is the set of all initial conditions that, when introduced into the system, lead to that attractor.
The size and shape of a basin of attraction can provide insights into the stability and robustness
Basins of attraction are often visualized using phase portraits or basin diagrams. These diagrams show the
In some systems, the basin of attraction can be fractal, meaning it has a complex, self-similar structure
Basins of attraction are a fundamental concept in the study of dynamical systems, with applications in fields