Dynamics of the solution of Bratu's equation

被引：18

作者：

Caglar, Hikmet ^{[2
]}

Caglar, Nazan ^{[3
]}

Ozer, Mehmet ^{[4
]}

Valaristos, Antonios ^{[1
]}

Miliou, Amalia N. ^{[1
]}

Anagnostopoulos, Antonios N. ^{[5
]}

机构：

[1] Aristotle Univ Thessaloniki, Dept Informat, GR-54124 Thessaloniki, Greece

[2] Istanbul Kultur Univ, Dept Math & Comp, TR-34156 Istanbul, Turkey

[3] Istanbul Kultur Univ, Dept Business Adm, TR-34156 Istanbul, Turkey

[4] Istanbul Kultur Univ, Dept Phys, TR-34156 Istanbul, Turkey

[5] Aristotle Univ Thessaloniki, Dept Phys, GR-54124 Thessaloniki, Greece

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 12期

关键词：

Bratu's equations; Power spectra; Cobweb diagrams; Lyapunov exponents; Chaos;

D O I：

10.1016/j.na.2008.11.091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present report we examine the dynamics exhibited by the solution of Bratu's equation. It represents a one-dimensional map with control parameter theta. For certain values of the parameter theta it exhibits successive bifurcations and shows chaotic regimes. This behaviour was confirmed by calculating the corresponding Lyapunov exponent, power spectra and cobweb diagrams, indicating similarities with other well-known one-dimensional maps. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：E672 / E678

页数：7

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