So the cycle are the phases A through H.
Obviously, the first time through the cycle is triggered by the desire by the organization to have a proper architecture practice.
But part of Phase H is "change monitoring". The architecture governance keeps an eye on changes going on (business changes, new competition, new laws, new technology that comes along, etc) and decides that it's time to start Phase A again.
It's a deliberate decision made while in Phase H, while responding to change, that the change is "big enough" to warrant a fresh ADM cycle. Otherwise, most smaller changes, can just be incorporated into the architecture and work performed without needing to go through the whole process.
For instance, if the company decides to upgrade from Windows 2008 to Windows 2012, that might not trigger a redesign of the architecture. But if the company decides that everyone should be able to work from outside the office (at home, at the client's office, etc), then that might need a lot of re-thinking about the way they do business, where data is stored, security, technology, etc.