A new type of adiabatic invariants for nonconservative systems of generalized classical mechanics |
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Authors: | Zhang Yi |
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Institution: | Department of Civil Engineering, University of Science and Technology of Suzhou, Suzhou 215011, China |
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Abstract: | The perturbations to symmetries and adiabatic invariants for nonconservative systems
of generalized classical mechanics are studied. The exact invariant in the form of
Hojman from a particular Lie symmetry for an undisturbed system of generalized
mechanics is given. Based on the concept of high-order adiabatic invariant in
generalized mechanics, the perturbation to Lie symmetry for the system under the
action of small disturbance is investigated, and a new adiabatic invariant for the
nonconservative system of generalized classical mechanics is obtained, which can be
called the Hojman adiabatic invariant. An example is also given to illustrate the
application of the results. |
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Keywords: | generalized
classical mechanics adiabatic invariant Lie symmetry perturbation |
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