Contact Hamiltonian dynamics: Variational principles, invariants, completeness and periodic behavior

Journal Article · Wed Aug 15 04:00:00 EDT 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2018.04.035· OSTI ID:22848358

Liu, Qihuai ^[1]; Wang, Chao ^[2]

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1. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin, 541004 (China)
2. School of Mathematical Sciences, Yancheng Teachers University, Yancheng, 224002 (China)

This paper describes the connections between the notions of Hamiltonian system, contact Hamiltonian system and nonholonomic system from the perspective of differential equations and dynamical systems. It shows that action minimizing curves of nonholonomic system satisfy the dissipative Lagrange system, which is equivalent to the contact Hamiltonian system under some generic conditions. As the initial research of contact Hamiltonian dynamics in this direction, we investigate the dynamics of contact Hamiltonian systems in some special cases including invariants, completeness of phase flows and periodic behavior.

• OSTI ID: 22848358
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 395; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
DIFFERENTIAL EQUATIONS
DYNAMICAL SYSTEMS
HAMILTONIANS
PERIODICITY
VARIATIONAL METHODS