Yes, there is investigation.
Some random names on the field (more on the physics side, NO specific order): Carl Dettmann, Tamás Tél, Ott, Ying-Cheng Lai, Adilson Motter, Celso Grebogi, Holger Kantz, Alessandro Moura, Eduardo G. Altmann, etc, etc, etc.
A quick search on some of these names should help you to find some recent papers on what is being done (not restricted to!).
Some specific topics on the subject with some activity:
Billiards, Transient chaos, Hamiltonian systems, quantum chaos, control theory.
Do not be biased by this information, use it has a shortcut to search more and more. It is not meant to represent anything in terms of importance, quantity or quality of the research.
This post imported from StackExchange Physics at 2014-12-31 12:08 (UTC), posted by SE-user J. C. Leitão