By Bruce Stokes, Director of Global Economic Attitudes, Pew Research Center

Special to CNN

The world may have breathed a sigh of relief after President John F. Kennedy and the Soviet Union managed to avoid nuclear Armageddon during the Cuban Missile Crisis. But America’s rise in the 50 years since President Kennedy was killed has been far from trouble-free – and America’s international standing since the fall of its great Cold War rival has reflected the ups, downs and uncertainties of the past five decades.

When the Cold War ended, U.S. strategic hegemony, and more broadly the American brand, appeared poised for prolonged preeminence. With the Soviet Union in shambles, followed soon thereafter with the implosion of Japan’s economic bubble, America’s standing in the world seemed unchallenged and unchallengeable. But in the ensuing quarter century, the U.S. image has been on a roller coaster ride. And China has emerged as a new rival in the eyes of the world.

Read more at CNN’s Global Public Square blog