In this paper, bifurcations and synchronization of a fractional-order Bloch system are studied. Firstly, the bifurcations with the variation of every order and the system parameter for the system are discussed. The rich dynamics in the fractional-order Bloch system including chaos, period, limit cycles, period-doubling, and tangent bifurcations are found. Furthermore, based on the stability theory of fractional-order systems, the adaptive synchronization for the system with unknown parameters is realized by designing appropriate controllers. Numerical simulations are carried out to demonstrate the effectiveness and flexibility of the controllers.
The subject of this paper is to study the algorithms fusing the asynchronous data from heterogeneous sensors for target tracking. Consider a 3U microwave radar and a 2D passive sensor colocated on same plate.The EKF is used for the tracking filtering. Both the fusion approach and the sequential approach are studied. Computer simulations show their effectiveness.
Abstract. In this paper, bifurcation of a fractional-order complex system is studied. As system parameter is varied, bifurcation of the system is showed by the numerical simulation. The routes leading to chaos including the period-doubling and tangent bifurcations are obtained. The phase portraits for different value of parameters are also given to demonstrate the dynamics of the system.
This paper propose a novel fractional-order hyperchaotic system, the hyper-chaotic system is investigated numerically by using linear transfer function approximation. In addition, based on the stability theorem of fractional systems, adaptive feedback control method is used for synchronization of fractional-order hyperchaotic systems with unknown parameters. Meanwhile, adaptive synchronization controller and recognizing rules of the uncertain parameters are designed. The simulation example is include to confirm validity and synchronization performance of the advocated design methodology.
A fractional-order system with complex variables is proposed. Firstly, the dynamics of the system including symmetry, equilibrium points, chaotic attractors, and bifurcations with variation of system parameters and derivative order are studied. The routes leading to chaos including the period-doubling and tangent bifurcations are obtained. Then, based on the stability theory of fractionalorder systems, the scheme of synchronization for the fractional-order complex system is presented. By designing appropriate controllers, the synchronization for the system is realized. Numerical simulations are carried out to demonstrate the effectiveness of the proposed scheme.
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