- #1
Eidos
- 108
- 1
Hello ladies and gentlemen
Why can't flows in phase space cross?
Would it imply that the system may be at the same state at some future time and then follow a different trajectory? That is to say that the identical initial condition gives a different final condition.
To my mind, flows in phase space would only not cross if the system is time invariant.
Slightly related, non-dissipative systems have their volumes preserved in phase space (Liouville's Theorem), is that the total volume of the phase space or any selectable portion of it?
Thanks for any replies
Why can't flows in phase space cross?
Would it imply that the system may be at the same state at some future time and then follow a different trajectory? That is to say that the identical initial condition gives a different final condition.
To my mind, flows in phase space would only not cross if the system is time invariant.
Slightly related, non-dissipative systems have their volumes preserved in phase space (Liouville's Theorem), is that the total volume of the phase space or any selectable portion of it?
Thanks for any replies