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lalbatros
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In classical mechanics, for conservative systems, it well knows that the differential laws of motion can be derived from a variational principle called "least action principle".
I know also that some non-conservative systems can be derived from a variational principle: the damped harmonic oscillator has a time-dependent Lagragian and an associated least action principle.
Physically, I wanted to know if:
Can all differential equations be derived from a variational principle?
I would greatly enjoy your ideas, comments suggestion or any track.
Examples could be very useful too.
Michel
I know also that some non-conservative systems can be derived from a variational principle: the damped harmonic oscillator has a time-dependent Lagragian and an associated least action principle.
Physically, I wanted to know if:
the least action is something special happening in special conditions, and which conditions
or
if it is a general rule that applies to (nearly) all differential systems of equationsCan all differential equations be derived from a variational principle?
I would greatly enjoy your ideas, comments suggestion or any track.
Examples could be very useful too.
Michel
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