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	dbp:title	"Derivation of the frequency response"@en ;
	dbp:caption	"period-4 oscillation at"@en ,
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	dbp:proof	"Using the method of harmonic balance, an approximate solution to the Duffing equation is sought of the form:\n\nwith  and \n\nApplication in the Duffing equation leads to:\n\n\nNeglecting the superharmonics at  the two terms preceding  and  have to be zero. As a result,\n\n\nSquaring both equations and adding leads to the amplitude frequency response:\n\nas stated above."@en .
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