Work

Invariant Measures as Obstructions to Attractors in Dynamical Systems and Their Role in Nonholonomic Mechanics

Year: 2024

Type: article

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 $$C^{1}$$ densities if one wishes to determine dynamical obstructions to the presence of attractors.

Source: Regular and Chaotic Dynamics

DOI: 10.1134/s156035472456003x

Authors: Luis C. García-Naranjo, Rafael Ortega, Antonio J. Ureña

Institutions: University of Padua, Universidad de Granada

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Ministero dell’Istruzione, dell’Università e della Ricerca, Ministerio de Ciencia e Innovación, Universidad de Granada

Awards: G1046827180, G7152046867, G8421348149