Dynamical analysis, circuit implementation and synchronization of a new memristive hyperchaotic system with coexisting attractors
Qiang Lai, Zhiqiang Wan, Paul Didier Kamdem Kuate, Hilaire Bertrand Fotsin
Abstract
This paper constructs a novel memristive hyperchaotic system by introducing the flux-controlled memristor to an extended jerk system. The memristive system has two equilibria and coexists two symmetric hyperchaotic attractors. The dynamic behaviors of the system are studied through bifurcation analysis. The analog circuit design and microcontroller-based experimental implementation of the system are presented. The synchronization of the system is realized by using the adaptive control technique. The sufficient conditions for synchronization are established via theoretical and numerical analysis.
Topics & Concepts
AttractorMemristorSynchronization (alternating current)JerkControl theory (sociology)Computer scienceBifurcationElectronic circuitTopology (electrical circuits)Channel (broadcasting)PhysicsControl (management)MathematicsElectronic engineeringNonlinear systemArtificial intelligenceMathematical analysisEngineeringAccelerationClassical mechanicsComputer networkQuantum mechanicsCombinatoricsAdvanced Memory and Neural ComputingChaos control and synchronizationstochastic dynamics and bifurcation