Recently, the authors proved in [C. Lizana and W. Ranter, Topological obstructions for robustly transitive endomorphisms on surfaces, Adv. Math. 390 (2021), pp. 107901] that every (Formula presented.) -robustly transitive toral endomorphism displaying critical points must be homotopic to a linear endomorphism having at least one eigenvalue with modulus greater than one. Here, we exhibit some examples of (Formula presented.) -robustly transitive surface endomorphisms displaying critical points in certain homotopy classes.
CITATION STYLE
Lizana, C., & Ranter, W. (2024). New classes of C1-robustly transitive maps with persistent critical points. Dynamical Systems. https://doi.org/10.1080/14689367.2024.2307010
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