Luis C. García-Naranjo, Rafael Ortega, Antonio J. Ureña
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引用次数: 0
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.
期刊介绍：
Regular and Chaotic Dynamics (RCD) is an international journal publishing original research papers in dynamical systems theory and its applications. Rooted in the Moscow school of mathematics and mechanics, the journal successfully combines classical problems, modern mathematical techniques and breakthroughs in the field. Regular and Chaotic Dynamics welcomes papers that establish original results, characterized by rigorous mathematical settings and proofs, and that also address practical problems. In addition to research papers, the journal publishes review articles, historical and polemical essays, and translations of works by influential scientists of past centuries, previously unavailable in English. Along with regular issues, RCD also publishes special issues devoted to particular topics and events in the world of dynamical systems.
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