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Construction of exact invariants of time-dependent linear nonholonomic dynamical systems |
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| Authors: | Jingli Fu Salvador Jiménez Luis Vázquez |
| Institution: | a Institute of Mathematical Physics, Zhejiang Sci-Tech University, Hangzhou 310018, China b Departamento de Matemática Aplicada TTII, E.T.S.I. Telecomunicación, Universidad Politécnica de Madrid, 28040 Madrid, Spain c State Key Laboratory of Scientific and Engineering Computing, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, PO Box 2719, Beijing 100080, China d Departamento de Matemática Aplicada Facultad de Informática, Universidad Complutense de Madrid, 28040 Madrid, Spain e Centro de Astrobiologia (CSIC-INTA), Torrejón de Ardoz, 28850 Madrid, Spain |
| Abstract: | In this work, we build exact dynamical invariants for time-dependent, linear, nonholonomic Hamiltonian systems in two dimensions. Our aim is to obtain an additional insight into the theoretical understanding of generalized Hamilton canonical equations. In particular, we investigate systems represented by a quadratic Hamiltonian subject to linear nonholonomic constraints. We use a Lie algebraic method on the systems to build the invariants. The role and scope of these invariants is pointed out. |
| Keywords: | Invariant Lie algebraic method Linear nonholonomic Hamiltonian system |
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