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

doi:10.1134/S156035472456003X

S156035472456003X.pdf (2.616Mb)

Identificadores

URI: https://hdl.handle.net/10481/95310

DOI: 10.1134/S156035472456003X

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Editorial

Springer

Materia

invariant measures

attractors

nonholonomic systems

Date

2024-09-05

Referencia bibliográfica

García-Naranjo, L.C., Ortega, R. & Ureña, A.J. Regul. Chaot. Dyn. (2024). [https://doi.org/10.1134/S156035472456003X]

Sponsorship

Project MIUR-PRIN 2022FPZEES Stability in Hamiltonian dynamics and beyond; Spanish MICINN project PID2021-128418NA-I00

Abstract

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.

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