Integral Invariants of Relativistic Birkhoff Systems
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Graphical Abstract
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Abstract
The relativistic integral invariants of Birkhoffian systems are studied. The simultaneous variant equations and non-simultaneous variant equations to the relativistic Birkhoffian systems are constructed respectively. we demonstrate a theorem, i.e. by virtue of a given first integral of the system, a integral invariant of system may be constructed, and further give it's inverse theorem.
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