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- W4300691650 abstract "We introduce a new measure of instability of area-preserving twist diffeomorphisms, which generalizes the notions of angle of splitting of separatrices, and flux through a gap of a Cantori. As an example of application, we establish a sharp >0 lower bound on the topological entropy in a neighbourhood of a hyperbolic, unique action-minimizing fixed point, assuming only no topological obstruction to diffusion, i.e. no homotopically non-trivial invariant circle consisting of orbits with the rotation number 0. The proof is based on a new method of precise construction of positive entropy invariant measures, applicable to more general Lagrangian systems, also in higher degrees of freedom." @default.
- W4300691650 created "2022-10-04" @default.
- W4300691650 creator A5045621893 @default.
- W4300691650 date "2017-03-06" @default.
- W4300691650 modified "2023-09-23" @default.
- W4300691650 title "A new measure of instability and topological entropy of area-preserving twist diffeomorphisms" @default.
- W4300691650 doi "https://doi.org/10.48550/arxiv.1703.01815" @default.
- W4300691650 hasPublicationYear "2017" @default.
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