由本身系統之增項及代換達成之Lorenz系統超渾沌, 渾沌控制及渾沌同步

Abstract

本論文研究超渾沌Lorenz系統藉由其本身渾沌激發而得到。應用以渾沌或規則時間函數代替參數法可得Lorenz系統的渾沌控制與同步。以渾沌或規則時間函數代替參數，也可得Lorenz系統之非耦合渾沌同步。最後應用本身渾沌及規則函數之增項及取代法也可得Lorenz系統之渾沌與渾沌同步

Hyperchaotic Lorenz system is obtained by replacement of its parameters by its chaotic states. The chaos control, synchronization and uncoupled synchronization of the systems are also obtained by replacement of its parameters by its chaotic states or by regular functions of time. Furthermore, by addition and replacement of its own chaotic states, chaos control and synchronization of Lorenz system can also be obtained.