35 citations · 101 across the 16 of their papers we have counts for
25 papers
On change of slow variables at crossing the separatrices
Anatoly Neishtadt
We consider general (not necessarily Hamiltonian) perturbations of Hamiltonian systems with one degree of freedom near separatrices of the unperturbed system. We present asymptotic…
On phase at a resonance in slow-fast Hamiltonian systems
Yuyang Gao, Anatoly Neishtadt, Alexey Okunev
We consider a slow-fast Hamiltonian system with one fast angular variable (a fast phase) whose frequency vanishes on some surface in the space of slow variables (a resonant surface…
Averaging and passage through resonances in two-frequency systems near separatrices
Anatoly Neishtadt, Alexey Okunev
The averaging method is a classical powerful tool in perturbation theory of dynamical systems. There are two major obstacles to applying the averaging method, resonances and separa…
On a transitional regime of electron resonant interaction with whistler-mode waves in inhomogeneous space plasma
A. V. Artemyev, A. I. Neishtadt, A. A. Vasiliev +1
Resonances with electromagnetic whistler-mode waves are the primary driver for the formation and dynamics of energetic electron fluxes in various space plasma systems, including sh…
On the adiabaticity of emittance exchange due to crossing of the coupling resonance
A. Bazzani, F. Capoani, M. Giovannozzi +1
In circular accelerators, crossing the linear coupling resonance induces the exchange of the transverse emittances, provided the process is adiabatic. This has been considered in s…
Long-term dynamics driven by resonant wave-particle interactions: from Hamiltonian resonance theory to phase space mapping
Anton V. Artemyev, Anatoly I. Neishtadt, Alexei. A. Vasiliev +3
In this study we consider the Hamiltonian approach for the construction of a map for a system with nonlinear resonant interaction, including phase trapping and phase bunching effec…