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Are all orbits of the conservative pendulum homoclinic?

I don't understand this statement: "The homoclinic orbit is characterized by $E = mgl$. When $E < mgl$, the pendulum is tracing other orbits." If energy is conserved, then $E_0 = E$ ($E$...
user3180's user avatar
  • 202
17 votes
4 answers
13k views

What creates the chaotic motion on a double pendulum?

As we know, The double pendulum has a chaotic motion. But, why is this? I mean, the mass of the two pendulums are the same and they have the same length. But, what makes its motion random? I'm just ...
Vaishnavi's user avatar
  • 1,107