Analysis reveals unique integer m linked to invariant tori's exponential growth rate and topological entropy.
In this paper, we consider a class of affine Anosov mappings with a quasi-periodic forcing and show that there is a unique positive integer m , which only depends on the system, such that the exponential growth rate of the number of invariant tori of degree m is equal to the topological entropy.
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BAI et al. (2025) studied this question.
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