As a student of Herman, a leading word expert on dynamical systems, it was not surprising that Yoccoz would himself work on dynamical systems. However, it was remarkable how quickly Yoccoz was to establish himself as the most brilliant researcher in this area.
Bilang isang mag-aaral ng Herman, isang nangungunang eksperto sa salita dynamical system, ito ay hindi na kamangha-mangha na Yoccoz ang kanyang sarili sa trabaho sa dynamical system. Gayunman, ito ay na-pansin kung paano mabilis Yoccoz ay para maitatag ang sarili bilang ang pinaka-maningning manaliksisk sa lugar na ito.