Invariant Measures as Obstructions to Attractors in Dynamical Systems and Their Role in Nonholonomic Mechanics García Naranjo, Luis C. Ortega Ríos, Rafael Ureña Alcázar, Antonio Jesús invariant measures attractors nonholonomic systems We present some results on the absence of a wide class of invariant measures for dynamical systems possessing attractors. We then consider a generalization of the classical nonholonomic Suslov problem which shows how previous investigations of existence of invariant measures for nonholonomic systems should necessarily be extended beyond the class of measures with strictly positive C1 densities if one wishes to determine dynamical obstructions to the presence of attractors. 2024-10-01T08:16:02Z 2024-10-01T08:16:02Z 2024-09-05 journal article García-Naranjo, L.C., Ortega, R. & Ureña, A.J. Regul. Chaot. Dyn. (2024). [https://doi.org/10.1134/S156035472456003X] https://hdl.handle.net/10481/95310 10.1134/S156035472456003X eng http://creativecommons.org/licenses/by-nc-nd/4.0/ open access Attribution-NonCommercial-NoDerivatives 4.0 Internacional Springer