期刊
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
卷 71, 期 12, 页码 E672-E678出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.na.2008.11.091
关键词
Bratu's equations; Power spectra; Cobweb diagrams; Lyapunov exponents; Chaos
资金
- NATO [ICS.EAP.CLG.983334]
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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