With respect to disequilibrium thermodynamics, synergetics has ... studied ...
OR
Synergetics has developed [explored] disequilibrium thermodynamics by studying ...

In other words, since "synergetics" is a named field in thermodynamics (Hermann Haken; not identical with Buckminster Fuller's synergetics), I don't think you can just toss it out and pretend that it says синергия instead of синергетика. But a lot of the other words could probably be omitted: I'm suggesting to cut "ideas of" and "from the standpoint of", for example, though "ideas" would be easy to work back in if you think it's essential.

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Note added at 8 hrs (2013-02-08 22:03:46 GMT)
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Your clarification:

Развивая идеи неравновесной термодинамики с позиций синергетики, мы изучили (теоретически и экспериментально) процессы....

Then probably it might be difficult to avoid "from the standpoint of":
Exploring disequilibrium thermodynamics from the standpoint of synergetics.
Or, more loosely:
Using [the concepts of] synergetics to explore ..., we studied ...

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Note added at 8 hrs (2013-02-08 22:04:19 GMT)
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And, of course, add the adverbs in there somewhere.