51 citations · 311 across the 32 of their papers we have counts for
7 papers · 1 filter
Separatrix crossing in rotation of a body with changing geometry of masses
Jinrong Bao, Anatoly Neishtadt
We consider free rotation of a body whose parts move slowly with respect to each other under the action of internal forces. This problem can be considered as a perturbation of the…
Capture into resonance and escape from it in a forced nonlinear pendulum
A. I. Neishtadt, A. A. Vasiliev, A. V. Artemyev
We study dynamics of a nonlinear pendulum under a periodic force with small amplitude and slowly decreasing frequency. It is well known that when the frequency of the external forc…
Directed transport in a classical lattice with a high-frequency driving
A. P. Itin, A. I. Neishtadt
We analyze the dynamics of a classical particle in a spatially periodic potential under the influence of a periodic in time uniform force. It was shown in [S.Flach, O.Yevtushenko,…
Fermi acceleration in time-dependent rectangular billiards due to multiple passages through resonances
A. P. Itin, A. I. Neishtadt
We consider a slowly rotating rectangular billiard with moving boundaries and use the canonical perturbation theory to describe the dynamics of a billiard particle. In the process…
Directed transport in a spatially periodic potential under periodic non-biased forcing
Xavier Leoncini, Anatoly Neishtadt, Alexei Vasiliev
Transport of a particle in a spatially periodic harmonic potential under the influence of a slowly time-dependent unbiased periodic external force is studied. The equations of moti…
On chaotic behavior of gravitating stellar shells
M. V. Barkov, G. S. Bisnovatyi-Kogan, A. I. Neishtadt +1
Motion of two gravitating spherical stellar shells around a massive central body is considered. Each shell consists of point particles with the same specific angular momenta and en…
Resonant phenomena in slowly perturbed elliptic billiards
A. P. Itin, A. I. Neishtadt
We consider an elliptic billiard whose shape slowly changes. During slow evolution of the billiard certain resonance conditions can be fulfilled. We study the phenomena of capture…