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https://hdl.handle.net/20.500.14365/2740
Title: | Analysis of Chaotic Dynamics of Chua's Circuit with lncosh Nonlinearity | Authors: | Kocaoglu, Aykut Karal, Omer Guzelis, Cuneyt |
Keywords: | Cubic Nonlinearity | Publisher: | IEEE | Abstract: | Chua's circuit, which demonstrates one of the most complicated nonlinear dynamical behaviors, i.e. chaos, contains a three-segment Piecewise Affine (PWA) resistor as the unique nonlinear element. In this study, the non-smooth nonlinearity of Chua's circuit represented by absolute value is approximated with employing the (smooth) lncosh nonlinearity. In contrast to the other smooth approximation, the 1/lambda lncosh (lambda x) approximation has the property of yielding the absolute value nonlinearity |x| as the limit case when lambda parameter goes to infinity. The bifurcation maps and attractors of introduced Chua's circuit obtained for different lambda parameters are presented in the paper in a comparative way. Computer simulations show that lncosh approximation preserves the chaotic behavior and hence provides the possibility of analyzing the behavior of the Chua's circuit by the methods requiring smoothness. | Description: | 8th International Conference on Electrical and Electronics Engineering (ELECO) -- NOV 28-30, 2013 -- Bursa, TURKEY | URI: | https://hdl.handle.net/20.500.14365/2740 | ISBN: | 978-605-01-0504-9 |
Appears in Collections: | Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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