Hyperchaotic behaviors, optimal control, and synchronization of a nonautonomous cardiac conduction system

Abstract In this paper, the hyperchaos analysis, optimal control, and synchronization of a nonautonomous cardiac conduction system are investigated. We mainly analyze, synchronize associated hyperchaotic behaviors using several approaches. More specifically, related nonlinear mathematical model is firstly introduced in forms both integer- fractional-order differential equations. Then attractors phase portraits analyzed. Next, effectual control approaches applied to cases order overcome obnoxious performance. addition, two identical oscillators synchronized via an adaptive scheme active controller for models, respectively. Simulation results confirm that new fractional shows more flexible behavior than its classical counterpart due memory effects. Numerical also justified theoretically, computational experiments illustrate efficacy proposed strategies.