Attractors of Direct Products

• Minkov, Stanislav ^[2] ; Shilin, Ivan ^[1]
  1. [1] Higher School of Economics, National Research University

     Higher School of Economics, National Research University

     Rusia

     
  2. [2] Brook Institute of Electronic Control Machines
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 20, Nº 3, 2021
• Idioma: inglés
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• Resumen

  • For Milnor, statistical, and minimal attractors, we construct examples of smooth flows φ on S2 for which the attractor of the Cartesian square of φ is smaller than the Cartesian square of the attractor of φ. In the example for the minimal attractors, the flow φ also has a global physical measure such that its square does not coincide with the global physical measure of the square of φ.