MAT244-2014F > MAT244 Math--Lectures

Integrable/non-integrable systems

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Bruce Wu:
So please tell me if I am understanding it correctly now,

y = c*x^2 for all real numbers c represents a particular node. However, H(x,y) = y/x^2 = c is not preserved at x = 0, so it is not integrable, even though it has an explicit solution.

Victor Ivrii:

--- Quote from: Fei Fan Wu on December 06, 2014, 08:52:31 PM ---However, $H(x,y) = y/x^2 = c$ is not preserved at $x = 0$, so it is not integrable, even though it has an explicit solution.

--- End quote ---
It is undefined at $(0,0)$ and cannot be defined as continuous function. But your feeling is correct

Bruce Wu:
Thanks