Publication: Dynamics of the solution of Bratu's equation
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Date
2009-12-15
Authors
Çağlar, Hikmet
Çağlar, Nazan
Özer, Mehmet
Valaristos, Antonios
Miliou, Amalia N.
Anagnostopoulos, Antonios N.
Journal Title
Journal ISSN
Volume Title
Publisher
PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Abstract
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.
Description
Keywords
Bratu's equations, Power spectra, Cobweb diagrams, Lyapunov exponents, chaos, Bratu denklemleri, güç spektrumu, örümcek ağı diyagramları, Lyapunov üsteli, kaos