Fractional-Order Analysis of Modified Chua’s Circuit System with the Smooth Degree of 3 and Its Microcontroller-Based Implementation with Analog Circuit Design
Junxia Wang,
Li Xiao,
Karthikeyan Rajagopal,
Akif Akgul,
Serdar Cicek,
Burak Aricioglu
Affiliations
Junxia Wang
School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
Li Xiao
School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, China
Karthikeyan Rajagopal
Center for Nonlinear Systems, Chennai Institute of Technology, Chennai 600069, India
Akif Akgul
Department of Computer Engineering, Faculty of Engineering, Hitit University, Corum 19030, Turkey
Serdar Cicek
Department of Electronic & Automation, Vocational School of Hacibektas, Nevsehir Haci Bektas Veli University, Nevsehir 50800, Turkey
Burak Aricioglu
Department of Electrical and Electronics Engineering, Faculty of Technology, Sakarya University of Applied Sciences, Sakarya 54187, Turkey
In the paper, we futher consider a fractional-order system from a modified Chua’s circuit system with the smooth degree of 3 proposed by Fu et al. Bifurcation analysis, multistability and coexisting attractors in the the fractional-order modified Chua’s circuit are studied. In addition, microcontroller-based circuit was implemented in real digital engineering applications by using the fractional-order Chua’s circuit with the piecewise-smooth continuous system.
