Kneading theory analysis of the Duffing equation

Acilina Caneco, Clara Grácio and J. Leonel Rocha

Chaos, Solitons & Fractals, 2009, vol. 42, issue 3, 1529-1538

Abstract: The purpose of this paper is to study the symmetry effect on the kneading theory for symmetric unimodal maps and for symmetric bimodal maps. We obtain some properties about the kneading determinant for these maps, that implies some simplifications in the usual formula to compute, explicitly, the topological entropy. As an application, we study the chaotic behaviour of the two-well Duffing equation with forcing.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:3:p:1529-1538

DOI: 10.1016/j.chaos.2009.03.040

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