[subject] + 突然 / 忽然 / 猛然 + [verb phrase]
突然 / 忽然 + [subject] + [verb phrase]
[noun] + 很 + 突然
突然 + 的 + [noun]
突然, 忽然 and 猛然 all mean "suddenly". As adverbs they go before the verb, and 突然 and 忽然 can also open the clause, before the subject.
忽然 is only an adverb. 突然 can also be the predicate after 很 or 太, or describe a noun with 的. When "sudden" is a description and not a manner, only 突然 works.
As adverbs, the two are close. 忽然 is a little softer and more literary, at home in stories; 突然 stresses that it came without warning.
猛然 adds force. It goes with quick physical movements – 站起来, 回头, 抬头 – and with 想起 when a thought hits hard. It belongs to written narrative, and it can't be an adjective.
Weather and slow changes don't take 猛然.