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This article is cited in 7 scientific papers (total in 7 papers)
On the Accuracy of Conservation of Adiabatic Invariants in Slow-Fast Hamiltonian Systems
Tan Su Department of Mathematical Sciences, Loughborough University, UK, LE11 3TU
Abstract:
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.
Keywords:
adiabatic invariant, slow-fast Hamiltonian systems, isoenergetic reduction.
Received: 03.01.2012 Accepted: 16.01.2012
Citation:
Tan Su, “On the Accuracy of Conservation of Adiabatic Invariants in Slow-Fast Hamiltonian Systems”, Regul. Chaotic Dyn., 17:1 (2012), 54–62
Linking options:
https://www.mathnet.ru/eng/rcd382 https://www.mathnet.ru/eng/rcd/v17/i1/p54
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Abstract page: | 76 |
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