Might mean (unverified): Oscillates while gradually returning to zero.
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We found 2 dictionaries that define the word underdamped:

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  1. underdamped: Wiktionary
  2. Underdamped: Wikipedia, the Free Encyclopedia

Definitions from Wiktionary (underdamped)

adjective:  (physics, of a linear dynamic system) Possessing a damping ratio between one and zero.

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