This analysis provides qualitative estimates of topological entropy bounds in non-monotone Hamilton-Jacobi equations, suggesting significance for expansive systems.
For the non-monotone Hamilton-Jacobi equations of contact type, the associated Lax-Oleinik semiflow ( T t , C ( M ) ) (T_t, C(M)) is expansive. In this paper, we provide qualitative estimates for both the lower and upper bounds of the topological entropy of the semiflow.
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Cheng et al. (2025) studied this question.
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