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2 broken links fixed, cf. https://math.meta.stackexchange.com/a/34713/228959, cf. https://meta.mathoverflow.net/q/5301/70594
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Glorfindel
Glorfindel
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There is a huge amount of literature on this problem. I include some works that seem "classic" and that I've consulted at some point:

Tulczyjew: http://www.springerlink.com/content/u9481124734547t6/Link http://www.numdam.org/numdam-bin/fitem?id=BSMF_1977__105__419_0

Takens: http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1214435235Link

And the work of Anderson on the variational bicomplex (I think this complex was introduced by I.M. Gelfand circa 1970).

There is also quite a bit of good work by Vinogradov and his school (the C-spectral sequence). All this is mostly applications of homological algebra to the theory of PDE's.

There is a huge amount of literature on this problem. I include some works that seem "classic" and that I've consulted at some point:

Tulczyjew: http://www.springerlink.com/content/u9481124734547t6/ http://www.numdam.org/numdam-bin/fitem?id=BSMF_1977__105__419_0

Takens: http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1214435235

And the work of Anderson on the variational bicomplex (I think this complex was introduced by I.M. Gelfand circa 1970).

There is also quite a bit of good work by Vinogradov and his school (the C-spectral sequence). All this is mostly applications of homological algebra to the theory of PDE's.

There is a huge amount of literature on this problem. I include some works that seem "classic" and that I've consulted at some point:

Tulczyjew: Link http://www.numdam.org/numdam-bin/fitem?id=BSMF_1977__105__419_0

Takens: Link

And the work of Anderson on the variational bicomplex (I think this complex was introduced by I.M. Gelfand circa 1970).

There is also quite a bit of good work by Vinogradov and his school (the C-spectral sequence). All this is mostly applications of homological algebra to the theory of PDE's.

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alvarezpaiva
alvarezpaiva
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There is a huge amount of literature on this problem. I include some works that seem "classic" and that I've consulted at some point:

Tulczyjew: http://www.springerlink.com/content/u9481124734547t6/ http://www.numdam.org/numdam-bin/fitem?id=BSMF_1977__105__419_0

Takens: http://projecteuclid.org/DPubS?service=UI&version=1.0&verb=Display&handle=euclid.jdg/1214435235

And the work of Anderson on the variational bicomplex (I think this complex was introduced by I.M. Gelfand circa 1970).

There is also quite a bit of good work by Vinogradov and his school (the C-spectral sequence). All this is mostly applications of homological algebra to the theory of PDE's.