Based on a modified Lorenz system, a relatively simple four-dimensional continuous autonomous hyperchaotic system is proposed by introducing a state feedback controller. The system consists of four coupled first-order...Based on a modified Lorenz system, a relatively simple four-dimensional continuous autonomous hyperchaotic system is proposed by introducing a state feedback controller. The system consists of four coupled first-order ordinary differential equations with three nonlinear cross-product terms. Some dynamical properties of this hyperchaotic system, including equlibria, stability, Lyapunov exponent spectrum and bifurcation, are analysed in detail. Moreover, an electronic circuit diagram is designed for demonstrating the existence of the hyperchaos, and verifying computer simulation results.展开更多
This paper introduces the finding of some chaotic attractors in a kind of n-dimensional autonomous hybrid system, which is realized via applying some discontinuous state feedback to a kind of n linear differential sys...This paper introduces the finding of some chaotic attractors in a kind of n-dimensional autonomous hybrid system, which is realized via applying some discontinuous state feedback to a kind of n linear differential system. And a constructive theorem is proposed for generalized synchronization related to the above chaotic hybrid systems. Examples are presented for illustrating the methods.展开更多
This paper investigates the synchronization and circuit implementation of a new hyperchaotic Lorenz system. This system is generated by controlling a generalized Lorenz system to hyperchaotic by introducing a linear s...This paper investigates the synchronization and circuit implementation of a new hyperchaotic Lorenz system. This system is generated by controlling a generalized Lorenz system to hyperchaotic by introducing a linear state feedback controller to its scored equation. Global synchronization of the new hyperchaotic systems can be achieved by unidirectonally linear coupled approach, which is illustrated by both numerical simulations and electronic circuit experiments.展开更多
基金Project supported by the Natural Science Foundation of Zhejiang Province, China （Grant No Y105175） and the Science investigation Foundation of Hangzhou Dianzi University, China （Grant No KYS051505010）.
文摘Based on a modified Lorenz system, a relatively simple four-dimensional continuous autonomous hyperchaotic system is proposed by introducing a state feedback controller. The system consists of four coupled first-order ordinary differential equations with three nonlinear cross-product terms. Some dynamical properties of this hyperchaotic system, including equlibria, stability, Lyapunov exponent spectrum and bifurcation, are analysed in detail. Moreover, an electronic circuit diagram is designed for demonstrating the existence of the hyperchaos, and verifying computer simulation results.
基金The project supported by National Natural Science Foundation of China under Grant Nos. 60074034 and 70271068
文摘This paper introduces the finding of some chaotic attractors in a kind of n-dimensional autonomous hybrid system, which is realized via applying some discontinuous state feedback to a kind of n linear differential system. And a constructive theorem is proposed for generalized synchronization related to the above chaotic hybrid systems. Examples are presented for illustrating the methods.
基金upported by National Natural Science Foundation of China(Grant No.60672085)“Taishan Scholarship”Construction Engineering
文摘This paper investigates the synchronization and circuit implementation of a new hyperchaotic Lorenz system. This system is generated by controlling a generalized Lorenz system to hyperchaotic by introducing a linear state feedback controller to its scored equation. Global synchronization of the new hyperchaotic systems can be achieved by unidirectonally linear coupled approach, which is illustrated by both numerical simulations and electronic circuit experiments.
