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.
               
Click one of the above tabs to view related content.