Kneading theory analysis of the Duffing equation
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 top...
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Published in | Chaos, solitons and fractals Vol. 42; no. 3; pp. 1529 - 1538 |
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Main Authors | , , |
Format | Journal Article |
Language | English |
Published |
Elsevier Ltd
15.11.2009
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Online Access | Get full text |
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Summary: | 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. |
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ISSN: | 0960-0779 1873-2887 |
DOI: | 10.1016/j.chaos.2009.03.040 |