This post deals with popularity of neural networks over years. The following graphics presents the number of entries in Google Scholar for Neural networks and Deep learning:
Deep learning becomes more popular while neural networks exhibits a downward slope.
In many books or blogs, you'll read that neural networks have known a golden age in the 60's and a dark age (AI winter) in the 1970. Not so sure according the the constantly increasing number of research papers published in during these decades: