Which of the following is more correct?
"we show our results on the example of the Duffing equation"
"we show our results using the Duffing equation as an example"
I am very thankful for any help.
The first sentence is arguably incorrect: the verb "show" does not usuallt take "on" as a preposition. This sentence may be understood, but it's not eloquent writing.
The second sentence is correct and eloquent.