A method of constructing a database-free optimal dynamical system and a global optimal dynamical system  

作　　者：WU ChuiJie1? & WANG Liang2 1 State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, China 2 Research Center for Fluid Dynamics, School of Science, PLA University of Science and Technology, Nanjing 211101, China 

出　　处：《Science China(Physics,Mechanics & Astronomy)》2008年第7期905-915,共11页中国科学：物理学、力学、天文学（英文版）

基　　金：the National Natural Science Foundation of China (Grant No. 10172095);LNM,Institute of Mechanics,Chinese Academy of Sciences

摘　　要：In this paper, to overcome the drawbacks of POT which minimize the reminder, not only the optimal functional with minimal residual is put forward, but also the method of global optimization is used. Under the condition of large reminder, the optimal bases can also be obtained through the method of POTres without the approaching of initial conditions. In addition, compared with local optimization, the advantage of global optimization is remarkable. On the one hand, we can expect that the dynamical system based on the global optimal bases will include more information than the ones based on the local optimal bases, since the global optimal bases are much more precise than the local optimal bases. On the other hand, from the point of view of error, the global optimal bases are independent of the choice of the object functional and the initial bases.In this paper, to overcome the drawbacks of POT which minimize the reminder, not only the optimal functional with minimal residual is put forward, but also the method of global optimization is used. Under the condition of large reminder, the optimal bases can also be obtained through the method of POTres without the approaching of initial conditions. In addition, compared with local optimization, the advantage of global optimization is remarkable. On the one hand, we can expect that the dynamical system based on the global optimal bases will include more information than the ones based on the local optimal bases, since the global optimal bases are much more precise than the local optimal bases. On the other hand, from the point of view of error, the global optimal bases are independent of the choice of the object functional and the initial bases.

关 键 词：DYNAMICAL system RESIDUAL GLOBAL optimization 

分 类 号：N94[自然科学总论—系统科学]