Continuum-wise expansiveness for non-conservative or conservative systems

Manseob Lee

Chaos, Solitons & Fractals, 2016, vol. 87, issue C, 314-318

Abstract: In this paper, we show that a non-conservative vector field is robustly continuum-wise expansive if and only if it satisfies both Axiom A and the quasi-transversality condition. Moreover, a conservative vector field (divergence-free vector field, Hamiltonian system) is robustly continuum-wise expansive if and only if it is Anosov.

Keywords: Expansive; Continuum-wise expansive; Quasi-Anosov; Quasi-transverality condition; Anosov (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:87:y:2016:i:c:p:314-318

DOI: 10.1016/j.chaos.2016.04.019

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