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For Milnor, statistical, and minimal attractors, we construct examples of smooth flows $\varphi$ on $S^2$ for which the attractor of the Cartesian square of $\varphi$ is smaller than the Cartesian… Click to show full abstract
For Milnor, statistical, and minimal attractors, we construct examples of smooth flows $\varphi$ on $S^2$ for which the attractor of the Cartesian square of $\varphi$ is smaller than the Cartesian square of the attractor of $\varphi$. In the example for the minimal attractors, the flow $\varphi$ also has an SRB-measure such that its square does not coincide with an SRB-measure of the square of $\varphi$.
Keywords:
direct products;
square;
attractors direct
Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2021
Link to full text (if available)
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Journal Title: Qualitative Theory of Dynamical Systems
Year Published: 2021
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!