ABSTRACT

We have been studying the simulation of dynamic systems from a common approach taken in elds of science and mathematics. is is an analysis of the physical laws that determine a system’s behavior leading to a set of dynamical equations, whose solution tells us how the system evolves in time. Once we have this system of equations, we analyze their solutions using mathematically developed techniques by solving the equations in the physical time continuum. But the solution of dynamical equations in time and space, that is, in a space where time is the independent variable, is oen very dicult to achieve. As a result, another approach has been developed that depends on transforming the equations into a dierent independent-variable space. Once the equations are expressed in the dierent space, assuming that we have been clever about choosing the new space, they are easier to solve in the new space than in time and space.