In this paper, the proportional synchronization between drive system and response system is achieved by using the concept of generalized synchronization. The phase space of all variables in response system can be expa...In this paper, the proportional synchronization between drive system and response system is achieved by using the concept of generalized synchronization. The phase space of all variables in response system can be expanded and compressed flexibly. Meanwhile, the 6-D hyperchaotic chua's circuit is considered as an illustrative example to demonstrate the effectiveness of the proposed approach. Furthermore, focusing on the shortcoming of the long transient behavior during the process of synchronization, a feedback method is adopted to shorten the transitional time of synchronization, which will provide an effective way for speeding up the transmitting velocity of code in chaotic multiple access communication.展开更多
In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. ...In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. At the same time, the supper-time-stepping algorithm is presented. It can significantly increase the performance of the difference scheme with intrinsic parallelism by reducing the restrictive timestep limits that exist. It is obviously that this scheme is advantageous to parallel computing. We prove its stability, and also give its results of numerical experiments.展开更多
基金国家自然科学基金，the Guangxi New Century Foundation for Ten Hundred，广西自然科学基金
文摘In this paper, the proportional synchronization between drive system and response system is achieved by using the concept of generalized synchronization. The phase space of all variables in response system can be expanded and compressed flexibly. Meanwhile, the 6-D hyperchaotic chua's circuit is considered as an illustrative example to demonstrate the effectiveness of the proposed approach. Furthermore, focusing on the shortcoming of the long transient behavior during the process of synchronization, a feedback method is adopted to shorten the transitional time of synchronization, which will provide an effective way for speeding up the transmitting velocity of code in chaotic multiple access communication.
文摘In this paper, we take the equation ut = uxx for example, and give a practical difference scheme with intrinsic parallelism, which is based on an implicit scheme inside boundary layers and an explicit scheme on them. At the same time, the supper-time-stepping algorithm is presented. It can significantly increase the performance of the difference scheme with intrinsic parallelism by reducing the restrictive timestep limits that exist. It is obviously that this scheme is advantageous to parallel computing. We prove its stability, and also give its results of numerical experiments.
