In the 2011 and the 2013 bubble, bitcoin reached the bottom in three months...
Not quite. The $31.91 2011 high was June 8th 2011. The $1.98 low was November 19th 2011. That's well over 5 months. Furthermore, it took about 20 months after the 2011 rout to regain $30.
But yes, with more money and more participants in the ecosystem, the cycles should take longer; however, please get your facts straight. It's not that hard to look at a price chart before posting.