Kneading theory analysis of the Duffing equation

被引：9

作者：

Caneco, Acilina ^{[1
]}

Gracio, Clara ^{[2
,3
]}

Rocha, J. Leonel ^{[4
]}

机构：

[1] Inst Super Engn Lisboa, DEETC, Math Unit, P-1959007 Lisbon, Portugal

[2] Univ Evora, Dept Math, P-7000671 Evora, Portugal

[3] CIMA UE, P-7000671 Evora, Portugal

[4] Inst Super Engn Lisboa, DEQ, Math Unit, P-1959007 Lisbon, Portugal

来源：

CHAOS SOLITONS & FRACTALS | 2009年 / 42卷 / 03期

关键词：

CHAOS SYNCHRONIZATION; OSCILLATORS; HIERARCHY; DYNAMICS;

D O I：

10.1016/j.chaos.2009.03.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1529 / 1538

页数：10

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