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, Anitha Karthikeyan, Akif Akgül, Serdar Çiçek, Burak Arıcıoğlu
Abstract
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.
Topics & Concepts
MultistabilityChua's circuitMicrocontrollerPiecewiseDegree (music)AttractorOrder (exchange)Computer scienceBifurcationControl theory (sociology)MathematicsTopology (electrical circuits)Mathematical analysisNonlinear systemComputer hardwarePhysicsControl (management)Artificial intelligenceAcousticsFinanceQuantum mechanicsEconomicsCombinatoricsChaos control and synchronizationNonlinear Dynamics and Pattern Formationstochastic dynamics and bifurcation