The historic Brachistochrone problem consists of finding the shape of the curve along which a particle will descend, under gravity, from a point to another not directly below it, in the shortest amont of time.
DYNAMICAL QUANTITIES IN THE BRACHISTOCHRONE PROBLEM.
The historic Brachistochrone problem is widely discussed in the literature.
Szarkowicz in 1995 , where the Monte Carlo method (an algorithm with the same principle as ES) is used to find an approximation to the classical brachistochrone problem.
In this work we are interested in two classical problems of the calculus of variations: the 1696 brachistochrone problem and the 1687 Newton's aerodynamical problem of minimal resistance (see, e.
The brachistochrone problem consists in determining the curve of minimum time when a particle starting at a point A = ([x.
1a one can see that the piecewise linear solution is made of points that are not over the brachistochrone, because that is not the best solution for piecewise functions.