Contact Extension and Symplectification  

作　　者：Qi-huai LIU An XIE Chao WANG 

机构地区：[1]School of Mathematics and Computing Science,Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation,Guilin University of Electronic Technology,Guilin 514001,China [2]School of Mathematical Sciences,Yancheng Teachers University,Yancheng 224002,China [3]Center for Applied Mathematics of Guangxi(GUET),Guilin 514001,China

出　　处：《Acta Mathematicae Applicatae Sinica》2023年第4期962-971,共10页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos.11771105, 12071410);the Natural Science Foundation of Guangxi Province (Nos.2017GXNSFFA198012);Guangxi Distinguished Expert Project。

摘　　要：This paper mainly studies the contact extension of conservative or dissipative systems, including some old and new results for wholeness. Then extension of contact system is corresponding to the symplectification of contact Hamiltonian system. This is a reciprocal process and the relation between symplectic system and contact system has been discussed. We have an interesting discovery that by adding a pure variable p,the slope of the tangent of the orbit, every differential system can be regarded as an independent subsystem of contact Hamiltonian system defined on the projection space of contact phase space.

关 键 词：contact extension contact Hamiltonian system contact transformation 

分 类 号：O175[理学—数学]