In this article, we introduce and investigate the concept of multivalued hybrid mappings in C AT(0) spaces by using the concept of quasilinearization. Also, we present a new iterative algorithm involving products of...In this article, we introduce and investigate the concept of multivalued hybrid mappings in C AT(0) spaces by using the concept of quasilinearization. Also, we present a new iterative algorithm involving products of Moreau-Yosida resolvents for finding a common element of the set of minimizers of a finite family of convex functions and a common fixed point of two multivalued hybrid mappings in C AT(0) spaces.展开更多
Single-carrier frequency-division multiple access (SC-FDMA) and orthogonal frequency division multiple access (OFDMA) systems are new orthogonal multiple access systems. They have been adopted in the 3GPP long term ev...Single-carrier frequency-division multiple access (SC-FDMA) and orthogonal frequency division multiple access (OFDMA) systems are new orthogonal multiple access systems. They have been adopted in the 3GPP long term evolution (3GPP-LTE). In these systems, there are only two types of subcarrier mapping schemes which are the interleaved and the localized. So, introducing a new subcarrier mapping scheme is an important issue, which is the main objective of this paper. In this paper, a hybrid subcarrier mapping scheme is proposed and examined for the SC-FDMA system. Monte Carlo simulations are performed to compare the performance of the proposed scheme with that of the interleaved and the localized schemes. It is shown that a hybrid scheme provides better performance than that of the localized and the same performance as that of the interleaved scheme and increased robustness to carrier frequency offset (CFO) at the expense of increased envelope fluctuations.展开更多
A new synchronization scheme for chaotic(hyperchaotic) maps with different dimensions is presented.Specifically,given a drive system map with dimension n and a response system with dimension m,the proposed approach ...A new synchronization scheme for chaotic(hyperchaotic) maps with different dimensions is presented.Specifically,given a drive system map with dimension n and a response system with dimension m,the proposed approach enables each drive system state to be synchronized with a linear response combination of the response system states.The method,based on the Lyapunov stability theory and the pole placement technique,presents some useful features:(i) it enables synchronization to be achieved for both cases of n 〈 m and n 〉 m;(ii) it is rigorous,being based on theorems;(iii) it can be readily applied to any chaotic(hyperchaotic) maps defined to date.Finally,the capability of the approach is illustrated by synchronization examples between the two-dimensional H′enon map(as the drive system) and the three-dimensional hyperchaotic Wang map(as the response system),and the three-dimensional H′enon-like map(as the drive system) and the two-dimensional Lorenz discrete-time system(as the response system).展开更多
The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also inclu...The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper are interesting extensions of those known results.展开更多
The porcine microsatellite SW943 was regionally localized on 12p11-(2/3p13) by the two methods: the Primed in situ (PRINS) labelling on the pachytene bivalents of pigs using the Dig-11-dUTP as the report molecule and ...The porcine microsatellite SW943 was regionally localized on 12p11-(2/3p13) by the two methods: the Primed in situ (PRINS) labelling on the pachytene bivalents of pigs using the Dig-11-dUTP as the report molecule and pig X rodent Somatic Cell Hybrid Panel (SCHP) which contains 27 cell lines through PCR amplification. Advantages and disadvantages of the two methods for physical mapping of microsatellites were also discussed.展开更多
Inspired by basic circuit connection methods,memristors can also be utilized in the construction of complex discrete chaotic systems.To investigate the dynamical effects of hybrid memristors,we propose two hybrid tri-...Inspired by basic circuit connection methods,memristors can also be utilized in the construction of complex discrete chaotic systems.To investigate the dynamical effects of hybrid memristors,we propose two hybrid tri-memristor hyperchaotic(HTMH)mapping structures based on the hybrid parallel/cascade and cascade/parallel operations,respectively.Taking the HTMH mapping structure with hybrid parallel/cascade operation as an example,this map possesses a spatial invariant set whose stability is closely related to the initial states of the memristors.Dynamics distributions and bifurcation behaviours dependent on the control parameters are explored with numerical tools.Specifically,the memristor initial offset-boosting mechanism is theoretically demonstrated,and memristor initial offset-boosting behaviours are numerically verified.The results clarify that the HTMH map can exhibit hyperchaotic behaviours and extreme multistability with homogeneous coexisting infinite attractors.In addition,an FPGA hardware platform is fabricated to implement the HTMH map and generate pseudorandom numbers(PRNs)with high randomness.Notably,the generated PRNs can be applied in Wasserstein generative adversarial nets(WGANs)to enhance training stability and generation capability.展开更多
针对传统灰狼优化(Grey Wolf Optimization, GWO)算法求解无人机三维路径规划问题时会出现收敛速度慢、容易陷入局部最优等问题,提出一种改进混合灰狼优化算法——CLGWO。基于Cat混沌映射和反向学习策略初始化灰狼种群,为算法全局搜索...针对传统灰狼优化(Grey Wolf Optimization, GWO)算法求解无人机三维路径规划问题时会出现收敛速度慢、容易陷入局部最优等问题,提出一种改进混合灰狼优化算法——CLGWO。基于Cat混沌映射和反向学习策略初始化灰狼种群,为算法全局搜索过程中丰富种群多样性奠定基础;提出新型非线性收敛因子的改进策略,提高算法全局搜索能力。在灰狼位置更新中提出引入狮群优化(Lion Swarm Optimization, LSO)算法的扰动因子和动态权重,使灰狼具有主动的搜索能力,避免因灰狼失去种群多样性而陷入局部最优。为验证改进算法的有效性,进行了8个国际通用的标准测试函数收敛性对比实验和无人机三维路径规划仿真实验。实验结果表明,CLGWO算法在单峰、多峰函数上均有较好的收敛性、较高的寻优精度;三维路径仿真环境下,CLGWO算法的平均路径长度、平均迭代次数、平均运行时间相比于GWO算法分别优化了33%、31%、52%,且路径转折少,能较好地得到全局最优值,验证了CLGWO算法的有效性。展开更多
文摘In this article, we introduce and investigate the concept of multivalued hybrid mappings in C AT(0) spaces by using the concept of quasilinearization. Also, we present a new iterative algorithm involving products of Moreau-Yosida resolvents for finding a common element of the set of minimizers of a finite family of convex functions and a common fixed point of two multivalued hybrid mappings in C AT(0) spaces.
文摘Single-carrier frequency-division multiple access (SC-FDMA) and orthogonal frequency division multiple access (OFDMA) systems are new orthogonal multiple access systems. They have been adopted in the 3GPP long term evolution (3GPP-LTE). In these systems, there are only two types of subcarrier mapping schemes which are the interleaved and the localized. So, introducing a new subcarrier mapping scheme is an important issue, which is the main objective of this paper. In this paper, a hybrid subcarrier mapping scheme is proposed and examined for the SC-FDMA system. Monte Carlo simulations are performed to compare the performance of the proposed scheme with that of the interleaved and the localized schemes. It is shown that a hybrid scheme provides better performance than that of the localized and the same performance as that of the interleaved scheme and increased robustness to carrier frequency offset (CFO) at the expense of increased envelope fluctuations.
文摘A new synchronization scheme for chaotic(hyperchaotic) maps with different dimensions is presented.Specifically,given a drive system map with dimension n and a response system with dimension m,the proposed approach enables each drive system state to be synchronized with a linear response combination of the response system states.The method,based on the Lyapunov stability theory and the pole placement technique,presents some useful features:(i) it enables synchronization to be achieved for both cases of n 〈 m and n 〉 m;(ii) it is rigorous,being based on theorems;(iii) it can be readily applied to any chaotic(hyperchaotic) maps defined to date.Finally,the capability of the approach is illustrated by synchronization examples between the two-dimensional H′enon map(as the drive system) and the three-dimensional hyperchaotic Wang map(as the response system),and the three-dimensional H′enon-like map(as the drive system) and the two-dimensional Lorenz discrete-time system(as the response system).
基金The NSF(11071053)of ChinaNatural Science Basic Research Plan(2014JM2-1003)in Shaanxi Province of ChinaScientific Research Project(YD2016-12)of Yan’an University
文摘The purpose of this article is to propose a new hybrid projection method for a quasi-nonexpansive mapping. The strong convergence of the algorithm is proved in real Hilbert spaces. A numerical experiment is also included to explain the effectiveness of the proposed methods. The results of this paper are interesting extensions of those known results.
基金supported by the National Key Projects of Basic Research and Development Plan(G2000016103)the National Natural Science Foundation of China(39970541)+1 种基金the National Outstanding Youth Science Foundation(3992507)the Doctorate Foundation of the Minister of Education of China(1999004004).
文摘The porcine microsatellite SW943 was regionally localized on 12p11-(2/3p13) by the two methods: the Primed in situ (PRINS) labelling on the pachytene bivalents of pigs using the Dig-11-dUTP as the report molecule and pig X rodent Somatic Cell Hybrid Panel (SCHP) which contains 27 cell lines through PCR amplification. Advantages and disadvantages of the two methods for physical mapping of microsatellites were also discussed.
基金supported by the National Natural Science Foundation of China(Grant Nos.62271088,62201094,and 62071142)the Scientific Research Foundation of Jiangsu Provincial Education Department of China(Grant No.22KJB510001)。
文摘Inspired by basic circuit connection methods,memristors can also be utilized in the construction of complex discrete chaotic systems.To investigate the dynamical effects of hybrid memristors,we propose two hybrid tri-memristor hyperchaotic(HTMH)mapping structures based on the hybrid parallel/cascade and cascade/parallel operations,respectively.Taking the HTMH mapping structure with hybrid parallel/cascade operation as an example,this map possesses a spatial invariant set whose stability is closely related to the initial states of the memristors.Dynamics distributions and bifurcation behaviours dependent on the control parameters are explored with numerical tools.Specifically,the memristor initial offset-boosting mechanism is theoretically demonstrated,and memristor initial offset-boosting behaviours are numerically verified.The results clarify that the HTMH map can exhibit hyperchaotic behaviours and extreme multistability with homogeneous coexisting infinite attractors.In addition,an FPGA hardware platform is fabricated to implement the HTMH map and generate pseudorandom numbers(PRNs)with high randomness.Notably,the generated PRNs can be applied in Wasserstein generative adversarial nets(WGANs)to enhance training stability and generation capability.