This question appears to be asking about the idea that history operates in cycles. War follows peace follows war. Prosperity follows recession follows prosperity. And so on. Many, many people have made such suggestions.
These sorts of theories ignore that history is about cause and effect. Wars don't cause peace. Peace doesn't cause wars... though they can appear to if you pick and choose. It's too simplistic. Each peace and each war is different.
Sometimes the way a war is concluded will set up conditions to create a new war, as in the Treaty Of Versailles setting up the conditions for World War II, but a great depression and fall of European empires also had a lot to do with that. Sometimes the way a war is concluded will set up conditions to create peace, such as the US Civil War (peaceful enough that we didn't have another one).
WWII's ending heralded an era of peace, 70 years with no global war. This is in part due to the UN, the mutually assured destruction of the Cold War, the spread of democracy, global communications, and global trade. All this creates a situation where social and economic stability is valued over nationalistic land and resource grabbing. Start a major war and everyone gets hurt. Plenty of regional conflicts though, but that's nothing new.
And, I'm happy to note, there was no World War III. Two is not much of a cycle.