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.
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.
Lie Symmetries and Conserved Quantities of Nonconservative Nonholonomic Systems in Phase Space
1.
Shaoguan University, Shaoguan, Guangdong 512005, P R China;
2.
Shangqiu Teachers Colleges, Shangqiu, Henan 476000, P R China
Received Date: 1998-01-06Rev Recd Date:
1999-01-30
Publish Date:
1999-06-15
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.
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