Influence of the parameters

In the following video, we demonstrate how each parameter influences the shape of the potential function. One notable feature is the inclusion of a hill in the potential function, creating a local minimum in its profile. The parameters r and p play a crucial role in determining the location and magnitude of the created hill, which directly affects the location of the local minimum and the equilibria induced. Additionally, the parameter α serves as a scaling factor that allows for smaller accelerations by appropriately dividing the potential function.