Dynamics of the solution of Bratu's equation
Author
Çağlar, HikmetÇağlar, Nazan
Özer, Mehmet
Valaristos, Antonios
Miliou, Amalia N.
Anagnostopoulos, Antonios N.
Type
Date
2009-12-15Language
en_USMetadata
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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.
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