How to find out leading research articles in a specific area?

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If one needs to find out the leading research articles and most cited or influential research articles in a specific area of mathematics, let's say, fractals, chaos and non-linear dynamics what that person should do?

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Google scholar is very useful for this. It tells you the citation count for each paper, and has useful "cited by" and "related article" links.

Also, when you find a relevant paper, read the related work section in the introduction. Often that is a useful guide to the literature.