On the accuracy of conservation of adiabatic invariants in slow-fast systems

Details On the accuracy of conservation of adiabatic invariants in slow-fast systems On the accuracy of conservation of adiabatic invariants in slow-fast systems

2011-03-08

arxiv.org/abs/1103.1595v1

Mathematics

Dynamical Systems

27 pages, 14 figures

Scientific paper

Let the adiabatic invariant of action variable in slow-fast Hamiltonian system with two degrees of freedom have two limiting values along the trajectories as time tends to infinity. The difference of two limits is exponentially small in analytic systems. An iso-energetic reduction and canonical transformations are applied to transform the slow-fast systems to form of systems depending on slowly varying parameters in a complexified phase space. On the basis of this method an estimate for the accuracy of conservation of adiabatic invariant is given for such systems.

Affiliated with

Also associated with

No associations

Rating

On the accuracy of conservation of adiabatic invariants in slow-fast systems does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the accuracy of conservation of adiabatic invariants in slow-fast systems, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the accuracy of conservation of adiabatic invariants in slow-fast systems will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-83106