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Wednesday, January 21, 2009

arnold diffusion

Definition by Mathworld:
The nonconservation of adiabatic invariants which arises in systems with three or more degrees of freedom.

Yes, another dynamical systems topic.
Yes, it seeps into my life.
Near the origin of phase space, in enough dimensions, the tori do not hold.
The particles slip and slide out, in between.
And so, even when I try to be as normal as possible, as regular and elliptical as possible, I still escape. The regularity presses against me. It tries to constrain me, but I am one of many.
And don't even get me started on the homoclinic tangle...

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