Dynamics of the solution of Bratu's equation

Caglar, Hikmet; Caglar, Nazan; ÖZER, MEHMET; Valaristos, Antonios; Miliou, Amalia; Anagnostopoulos, Antonios

doi:10.1016/j.na.2008.11.091

Dynamics of the solution of Bratu's equation

Caglar H., Caglar N., ÖZER M., Valaristos A., Miliou A. N., Anagnostopoulos A. N.

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, sa.12, 2009 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Basım Tarihi: 2009
Doi Numarası: 10.1016/j.na.2008.11.091
Dergi Adı: NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
İstanbul Kültür Üniversitesi Adresli: Evet

Özet

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.