Nonlinear dynamics, integrable and near-integrable systems, averaging methods for Hamiltonian systems, quantum and classical chaos.
Main publications:
A. P. Itin, S. Watanabe, “Integrability, stability, and adiabaticity in nonlinear Stimulated Raman adiabatic pasage”, Phys. Rev. Lett., 99 (2007), 223903
A. P. Itin, S. Watanabe, and V. V. Konotop, “Nonlinear dynamical instabilities of a condensate system in an atom-molecule dark state”, Phys. Rev. A, 77 (2008), 043610
A. P. Itin, et al., “Vortex creation during magnetic trap manipulations of spinor BEC”, Phys. Rev. A, 73 (2006), 063615
A. P. Itin, A. A. Vasiliev, A. I. Neishtadt, “Capture into resonance and scattering on resonances in dynamics of a charged relativistic particle in magnetic field and electrostatic wave”, Physica D, 141 (2000), 281
A. P. Itin, A. I. Neishtadt, A. A. Vasil'ev, “Resonant phenomena in slowly irregular rectangular waveguides”, Zap. Nauchn. Sem. POMI, 300 (2003), 173–179; J. Math. Sci. (N. Y.), 128:2 (2005), 2778–2781
A. A. Vasiliev, A. P. Itin, A. I. Neishtadt, “On dynamics of four globally phase-coupled oscillators with close frequencies”, Regul. Chaotic Dyn., 3:1 (1998), 9–18
1997
4.
A. A. Vasiliev, A. P. Itin, A. I. Neishtadt, “On dynamics of four globally phase-coupled oscillators with close frequencies”, Regul. Chaotic Dyn., 2:3-4 (1997), 21–29
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