The cyclone derives its powers from a calm center. So does a person. ~Norman Vincent Peale
I interpret this quote's meaning as no matter what happens to you, as long as you can remain calm on the inside you will be able to draw power from that to overcome your problems. Imagine your center as the eye of the storm. All of the events, thoughts, actions, and feelings that make up your life swirl around you. The storm of life affects everybody, but when you are the eye of the storm you are able to stand untouched. This touches on the idea of proactivity. A reactive person's strength fizzles quickly, but a proactive person can stay strong longer thanks to their ability to reduce the impact of life's events on them.
You do not need to have the strength of a hurricane to overcome your problems. You just need to realize that staying calm, no matter what problems you face, will allow you to successfully live through them.