Lie Symmetries and Conserved Quantities of Nonconservative Nonholonomic Systems in Phase Space

Liu Rongwan; Fu Jingli

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Liu Rongwan, Fu Jingli. Lie Symmetries and Conserved Quantities of Nonconservative Nonholonomic Systems in Phase Space[J]. Applied Mathematics and Mechanics, 1999, 20(6): 597-601.

Citation:

Liu Rongwan, Fu Jingli. Lie Symmetries and Conserved Quantities of Nonconservative Nonholonomic Systems in Phase Space[J]. Applied Mathematics and Mechanics, 1999, 20(6): 597-601.

Citation:

Liu Rongwan, Fu Jingli. Lie Symmetries and Conserved Quantities of Nonconservative Nonholonomic Systems in Phase Space[J]. Applied Mathematics and Mechanics, 1999, 20(6): 597-601.

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Lie Symmetries and Conserved Quantities of Nonconservative Nonholonomic Systems in Phase Space

Liu Rongwan¹,
Fu Jingli²

1.
Shaoguan University, Shaoguan, Guangdong 512005, P R China;
2.
Shangqiu Teachers Colleges, Shangqiu, Henan 476000, P R China

Received Date: 1998-01-06
Rev Recd Date: 1999-01-30
Publish Date: 1999-06-15

Abstract

Abstract

The invariance and conserved quantities of the nonconservative nonholonomic systems are studied by introducing the infinitesimal transformations in phase space. The Lie's symmetrical determining equations are established. The Lie's symmetrical structure equation is obtained. An example to illustrate the application of the result is given.
- nonholonomic constraint,
- phase space,
- Lie’s symmetry

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References(8)

References

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