Kocaoglu, AykutKaral, OmerGuzelis, Cuneyt2023-06-162023-06-162013978-605-01-0504-9https://hdl.handle.net/20.500.14365/27408th International Conference on Electrical and Electronics Engineering (ELECO) -- NOV 28-30, 2013 -- Bursa, TURKEYChua'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.eninfo:eu-repo/semantics/closedAccessCubic NonlinearityConference Object10.1109/eleco.2013.67138552-s2.0-84894121182