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arXiv · 2608.30119

At most exponential growth of periodic orbits for star flows

C. A. Morales·E. Rego·X. Wen
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Abstract

We prove that on any closed manifold there exists a C1 open and dense subset of star flows for which the periodic orbits grow at most expo- nentially. We also explain how our methods apply to the sectional-hyperbolic attractors including the Lorenz polynomial equation.

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C. A. Morales, E. Rego, X. Wen. 2026-08-31. At most exponential growth of periodic orbits for star flows. https://arxiv.org/abs/2608.30119

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