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A characterization of singular hyperbolicity via the linear Poincaré flow

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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… Click to show full 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 this paper, we give a characterization of singular hyperbolicity using the linear Poincare flow, which by definition is defined on the regular part (usually non-compact) of the dynamics only.

Keywords: singular hyperbolicity; hyperbolicity via; characterization singular; hyperbolicity; flow

Journal Title: Journal of Differential Equations
Year Published: 2020

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