Girişimcilik Bölümü / Department of Entrepreneurship
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Browsing Girişimcilik Bölümü / Department of Entrepreneurship by Author "Anagnostopoulos, Antonios N."
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Publication Metadata only Dynamics of the solution of Bratu's equation(PERGAMON-ELSEVIER SCIENCE LTD, THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND, 2009-12-15) Çağlar, Hikmet; Çağlar, Nazan; Özer, Mehmet; Valaristos, Antonios; Miliou, Amalia N.; Anagnostopoulos, Antonios N.; TR114368; TR110809; TR2509In 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.