The old world order is basically US hegemony. From 1990 to 2010. The US could pretty much dictate anything it wanted and have sport wars with small countries because nobody would stop them.
The emerging order is a tri polar world. Russia defied the US's aspirations to make a NATO base in Crimea and countered a US sport war in Syria in 2015. And made claims in the arctic
China's shear economic horsepower is too big to be ignored any longer. They have 2 aircraft carriers in service and a 3rd one 25% completed with a nuclear supercarrier in the plans for 2030. They have the belt and road initiative and are trying to push the US navy away from the South China sea.