There is no bubble to burst this time as this recent increase is solid and on permanent basis because situation is not same as it was then.Bitcoin has more adoption with some legislative moral support and recognition and large remittance market so price will be stable this time.
Is there still big holders who could cash out ?
Is there still speculators ?
Is there people who could enter in bitcoin ?
If one of these answers is YES I don't see how we could avoid volatility and a new bubble. Even mature markets like gold or real estate have their bubble too.