On the notions of singular domination and (multi-)singular hyperbolicity
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DOI: 10.1007/s11425-019-1764-x
Abstract: The properties of uniform hyperbolicity and dominated splitting have been introduced to study the stability of the dynamics of diffeomorphisms. One meets difficulties when one tries to extend these definitions to vector fields and Shantao… read more here.
Keywords: hyperbolicity; multi singular; singular hyperbolicity; singular domination ... See more keywords
A characterization of singular hyperbolicity via the linear Poincaré flow
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DOI: 10.1016/j.jde.2019.10.029
Abstract: Abstract Singular hyperbolicity is a fundamental notion in dynamical systems that describes in particular Lorenz-like dynamics. It is defined using the tangent flow and concerns both the regular and singular parts of the dynamics. In… read more here.
Keywords: singular hyperbolicity; hyperbolicity via; characterization singular; hyperbolicity ... See more keywords