14 citations · 18 across the 7 of their papers we have counts for
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math.DS2013★ 14 cited
Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems
M. Avendaño-Camacho, J. A. Vallejo, Yu. Vorobiev
We present a coordinate-free approach for constructing approximate first integrals of generalized slow-fast Hamiltonian systems, based on the global averaging method on parameter-d…
math-ph2013
On the Global Structure of Normal Forms for Slow-Fast Hamiltonian Systems
M. Avendaño Camacho Yu. Vorobiev
In the framework of Lie transform and the global method of averaging, the normal forms of a multidimensional slow-fast Hamiltonian system are studied in the case when the flow of t…