Hello, This is my first post on this forum, so please excuse me if I am not clear enough. I have recently been fascinated about chaos and decided to learn about the equations of motion in a double pendulum. I am in high school and have been so interested about chaos and its equations of motion that I have learned many mathematical concepts in order to do the equations. I have understood that chaotic objects can be graphed in a phase diagram and they make strange attractors. In a double pendulum, how can I make a phase diagram for a double pendulum. What would be the values of the x, y, and/or z axes to make the phase diagram. How could I make one in Mathematica? I also have some questions about the equations. This probably is a dumb question. Until how much can you solve the equations? For the kinetic energy, one of the variables is v for velocity. how can I solve for the velocity if I do not have any given time. I know that probably you are supposed to graph it with time being one axis and see how the graph evolves, but I have no idea on how to do this. links I've used for the equations are http://people.unt.edu/ctm0055/pendulum [Broken] http://scienceworld.wolfram.com/physics/DoublePendulum.html PLEASE help me as quick as possible. These questions re killing me.