4 citations · 5 across the 2 of their papers we have counts for
2 papers
math.DS2016★ 1 cited
Generalisation of the explicit expression for the Deprit generator to Hamiltonians nonlinearly dependent on small parameter
Andrey Nikolaev
This work explores a structure of the Deprit perturbation series and its connection to a Kato resolvent expansion. It extends the formalism previously developed for the Hamiltonian…
math.DS2013★ 4 cited
Kato perturbation expansion in classical mechanics and an explicit expression for a Deprit generator
Andrey Nikolaev
This work explores the structure of Poincare-Lindstedt perturbation series in Deprit operator formalism and establishes its connection to Kato resolvent expansion. A discussion of…