Hybrid tri-memristor hyperchaotic map and application in Wasserstein Generative Adversarial Nets  

作　　者：GU Yang BAO Han YU XiHong HUA ZhongYun BAO BoCheng XU Quan 

机构地区：[1]School of Microelectronics and Control Engineering,Changzhou University,Changzhou,213159,China [2]School of Computer Science and Technology,Harbin Institute of Technology,Shenzhen,518055,China

出　　处：《Science China(Technological Sciences)》2024年第6期1855-1865,共11页中国科学（技术科学英文版）

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)。

摘　　要：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.

关 键 词：memristor hybrid tri-memristor map spatial invariant set HYPERCHAOS extreme multistability generative adversarial nets 

分 类 号：TN60[电子电信—电路与系统] TP183[自动化与计算机技术—控制理论与控制工程]