Аннотация:
Let the adiabatic invariant of action variable in a slow-fast Hamiltonian system with two degrees of freedom have limits along the trajectories as time tends to plus and minus infinity. The difference of these two limits is exponentially small in analytic systems. An isoenergetic reduction and canonical transformations are applied to transform the slow-fast system to form of a system depending on a slowly varying parameter in a complexified phase space. On the basis of this method an estimate for the accuracy of conservation of adiabatic invariant is given.
Образец цитирования:
Tan Su, “On the Accuracy of Conservation of Adiabatic Invariants in Slow-Fast Hamiltonian Systems”, Regul. Chaotic Dyn., 17:1 (2012), 54–62
\RBibitem{Su12}
\by Tan Su
\paper On the Accuracy of Conservation of Adiabatic Invariants in Slow-Fast Hamiltonian Systems
\jour Regul. Chaotic Dyn.
\yr 2012
\vol 17
\issue 1
\pages 54--62
\mathnet{http://mi.mathnet.ru/rcd382}
\crossref{https://doi.org/10.1134/S1560354712010054}
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https://www.mathnet.ru/rus/rcd382
https://www.mathnet.ru/rus/rcd/v17/i1/p54
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Lukin A.S. Artemyev V A. Petrukovich A.A. Zhang X.-J., “Charged Particle Scattering in Dipolarized Magnetotail”, Phys. Plasmas, 28:10 (2021), 102901
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A. V. Artemyev, O. V. Agapitov, F. S. Mozer, H. Spence, “Butterfly pitch angle distribution of relativistic electrons in the outer radiation belt: Evidence of nonadiabatic scattering”, JGR Space Physics, 120:6 (2015), 4279
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Tan Su, “On the Accuracy of Conservation of Adiabatic Invariants in Slow-Fast Hamiltonian Systems”, Regul. Chaotic Dyn., 17:1 (2012), 54–62
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