ZHONG Wan-xie. Only symplectic conservation is characteristic of discrete dynamics[J]. Applied Mathematics and Mechanics, 2016, 37(8): 775-777. doi: 10.21656/1000-0887.370186
Citation: ZHONG Wan-xie. Only symplectic conservation is characteristic of discrete dynamics[J]. Applied Mathematics and Mechanics, 2016, 37(8): 775-777. doi: 10.21656/1000-0887.370186

Only symplectic conservation is characteristic of discrete dynamics

doi: 10.21656/1000-0887.370186
  • Received Date: 2016-06-12
  • Rev Recd Date: 2016-07-20
  • Publish Date: 2016-08-15
  • Symplectic conservation is altered to "(geometric) structurepreserving" in some foreign work. "Symplectic" is a terminology, but what "structure" means here is still a fuzzy concept that can’t be stated clearly. This alteration seems to make a foreign original achievement. Hence the foreign fuzzified concept will displace the definite Chinese invention. It is very important to distinguish between Chinese original work and foreign distorted ones. The positively correct concept that symplectic conservation is characteristic of discrete dynamics, is a Chinese original one, shall not be obscured behind a foreign camouflage. "People respect those who respect themselves", which deserves enough attention of the Chinese people.
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    冯康, 秦孟兆. 哈密尔顿系统的辛几何算法[M]. 杭州: 浙江科学技术出版社, 2004.(FENG Kang, QIN Meng-zhao. Symplectic Geometric Algorithms for Hamiltonian Systems[M]. Hangzhou: Zhejiang Science & Technology Press, 2004.(in Chinese))
    [2]
    Hairer E, Lubich C, Wanner G. Geometric Numerical Integration: Structure-Preserving Algorithms for Ordinary Differential Equations[M]. 2nd ed. Springer, 2006.
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