- #1
jamg.97
- 5
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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
http://scienceworld.wolfram.com/physics/DoublePendulum.html
PLEASE help me as quick as possible. These questions re killing me.
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
http://scienceworld.wolfram.com/physics/DoublePendulum.html
PLEASE help me as quick as possible. These questions re killing me.
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