The 31-year-old Briton, who is also aiming to complete a hat-trick of successive wins after triumphs in Austria and his home British event, can overhaul Rosberg's one-point lead in the title race with his first win in Hungary since 2013.
But he knows that the tight, twisting and, often, swelteringly hot Hungaroring circuit has not been kind to him, or Mercedes, in recent years as he bids for a record fifth success.
"The past couple of years, I haven't had the smoothest of weekends at Budapest," said Hamilton whose last win in Hungary was in 2013. "But I know I've got the pace, so I'm gunning to turn that around this time.
"I have incredible support there so I can't wait to get out the track. Ever since the low of Barcelona this year, I have been able to cultivate this really strong mental attitude.
"I'm feeling fresh, powerful and confident. I'm feeling that fire inside me."
In six races since the F1 circus arrived at the Circuit de Catalunya, Rosberg has won only once while Hamilton has collected four wins to release his team-mate's grip on the championship.
Rosberg led by 43 points in May and goes into this race seeking his first win at a track that this weekend celebrates the 30th anniversary of the first Hungarian race and the first behind what was then known as 'the Iron Curtain'.
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