A New Method for Tectonic Conserved Quantity on Invariant Manifold of Autonomous System

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Abstract:

Reached the autonomous force system, indicate the concept of invariant manifold of autonomous system. If the autonomous force system exists the (n-1) dimensional invariant manifold,then the system invariant manifold’s generating function can be calculated, farther, we can construct the system’s conserved quantity by these generating functions. Last one illustrative example is given with the help of n-body.

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Periodical:

Advanced Materials Research (Volumes 562-564)

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1117-1120

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August 2012

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© 2012 Trans Tech Publications Ltd. All Rights Reserved

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[1] HU Yan-xia, GUAN Ke-ying. Numerical simulation Techniques for Searching First Integrals by Lie Group and Application to Gyroscope System , science in China Ser. A Mathematics 2005, 48(6): 1-9.

DOI: 10.1360/04ys0141

Google Scholar

[2] WANG Shu-yong,MEI Feng-xiang . Form invariance and Lie symmetryof equations of non-holonomic systems [J]. Chin Phys,2002,11(1):5-8.

DOI: 10.1088/1009-1963/11/1/302

Google Scholar

[3] GUAN Ke-ying, LIU Sheng and LEI Jin-zhi, The Lie algebra agmitted by an ordinary differential equation system, Annof Diff Eqs。Vol。14, 1998, 120-130.

Google Scholar

[4] LIU Sheng,GUAN Ke-ying, A Method of Constructing First Integrals of Second Order Non-Autonomous Systems, Acta Scientiarum Naturalium Universitatis Neimonggol , 1999 , 30(2):135-139. (in Chinese).

Google Scholar

[5] SHEN Zhu-jiang, CHEN Tie-lin. Simulation of rock deformation and failure by binary medium model [J]. Hydro Science and Engineering, 2004, 3(1): 1−5. (in Chinese).

Google Scholar

[6] Mei Feng-xiang. Nonholonomic mechanics[J]. ASME Appl Mech Rev. 2000 , 53(11) : 283-305.

Google Scholar