Лаборатория нелинейных динамических систем

Chaotic transport in Hamiltonian classical and quantum systems

Ratchets, anomalous transport, Levy flights, fractals, dynamical traps, cantori and transport barriers in Hamiltonian classical and quantum systems. Searching for and visualization of invariant manifolds, stickiness and unstable periodic orbits, computing Lyapunov exponents.

Generation and control of directed transport of classical and quantum particles  in spatially periodic potentials with the help of weak perturbations with adiabatically modulated parameters. Autoresonant cooling of particles.

2001

1. S.V. Prants and V.Yu. Sirotkin. Effects of the Rabi oscillations on the atomic motion in a standing-wave cavity. Physical Review A. V.64 (2001) art. no. 033412. DOI: 10.1103/PhysRevA.64.033412

2002

1. S.V. Prants. Chaos, fractals and flights of atoms in cavities. JETP Letters. V.75 N12 2002 651-658 [Pis'ma ZhETP. V.75. Is.12 2002 777-785]. DOI              10.1134/1.1503331

2. S.V. Prants, M. Edelmam and G.M. Zaslavsky. Chaos and flights in the atom-photon interaction in cavity QED. Physical Review E. V.66 (2002) art. no 046222. DOI: 10.1103/PhysRevE.66.046222

2003

1. V.Yu. Argonov, S.V. Prants. Fractals and chaotic scattering of atoms in the field of a stationary standing light wave. J. Exp. Theor. Phys. V.123 N5 (2003) 832-845 [ZhETP. V.123 N5 (2003) 946-961]. DOI: 10.1134/1.1581937

2. S.V. Prants, M.Yu. Uleysky. Atomic fractals in cavity quantum electrodynamics. Physics Letters A. V. 309 N5-6 (2003) P.357-362. doi:10.1016/S0375-9601(03)00208-1

2004

 1. D.V. Makarov, M.Yu. Uleysky, S.V. Prants. Ray chaos and ray clustering in an ocean waveguide. Chaos. V.14. N1 (2004) P.79-95. doi:10.1063/1.1626392

 2. M. Budyansky, M. Uleysky, S. Prants. Hamiltonian fractals and chaotic scattering by a topographical vortex and an alternating current. Physica D 195 N3-4 (2004) 369-378. doi:10.1016/j.physd.2003.11.013

 3. M.V. Budyansky, M.Yu. Uleysky, S.V. Prants. Chaotic scattering, transport, and fractals in a simple hydrodynamic flow. J. Exper. Theor. Phys. V.99 N5 (2004) 1018-1027. [ZhETF. V.126 N5(11) (2004) 1167-1179]. DOI: 10.1134/1.1842883

2005

V.Yu. Argonov and S.V. Prants. Synchronization of internal and external degrees of freedom of atoms in a standing laser wave. Physical Review. A. V.71 (2005) art. N 053408. DOI: 10.1103/PhysRevA.71.053408

2006

1. S.V. Prants, M.Yu. Uleysky, and V.Yu. Argonov. Entanglement, fidelity, and quantum-classical correlations with an atom moving in a quantized cavity field. Physical Review A. V.73 (2006) art. 023807. DOI: 10.1103/PhysRevA.73.023807

2. V.Yu. Argonov and S.V. Prants. Nonlinear coherent dynamics of an atom in an optical lattice. Journal of Russian Laser Research. V.27 N4 (2006) 360-378 DOI 10.1007/s10946-006-0019-7

3.D.V. Makarov, M.Yu. Uleysky, M.V. Budyansky, and S.V. Prants. Clustering in randomly-driven Hamiltonian systems. Physical Review E. V.73 (2006) art.no 066210. DOI: 10.1103/PhysRevE.73.066210

4. S.V. Prants, M.V. Budyansky, M.Yu. Uleysky, and G.M. Zaslavsky. Chaotic mixing and transport in a meandering jet flow. Chaos. V.16  (2006) art.no 033117. doi:10.1063/1.2229263

5. Makarov D.V., Uleysky M.Yu. Specific Poincare map for a randomly-perturbed nonlinear oscillator. Journal of Physics A: Mathematical and General. V. 39. P. 489-497 (2006).

2007

1. M.Yu. Uleysky, M.V. Budyansky, and S.V. Prants. 8 Effect of dynamical traps on chaotic transport in a meandering jet flow. Chaos. V.17. Is.4 (2007)  art. no. 024703. doi:10.1063/1.2783258 

 2. Makarov D.V., Uleysky M.Yu. Giant acceleration in slow-fast space-periodic Hamiltonian systems. Physical Review E. V. 75. 065201(R) (2007)

3. V.Yu. Argonov and S.V. Prants. Theory of chaotic atomic transport in an optical lattice. Phys. Rev. A. V.75 (2007) art.no. 063428. DOI: 10.1103/PhysRevA.75.063428

2008

1. K.V. Koshel and S.V. Prants. Chaotic advection in the ocean.  Institute of Computer science: Moscow-Izhevsk, 2008, 358 p.  (in Russian).

2. M.Yu. Uleysky, M.V. Budyansky, S.V. Prants. Genesis and bifurcations of unstable periodic orbits in a jet flow. Journal of Physics A: Math. Theor. V. 41 (2008) 215102. doi: 10.1088/1751-8113/41/21/215102

3. V.Yu. Argonov and S.V. Prants. Nonlinear control of chaotic walking of atoms in an optical lattice. Europhysics Letters. Vol. 81 (2008) art. no. 24003. doi: 10.1209/0295-5075/81/24003

4. V.Yu. Argonov, S.V. Prants. Manifestation of Hamiltonian chaos in dissipative atomic transport in a standing-wave laser field.  JETP Letters. V. 88, is. 10 P. 752-756 (2008) [Pis'ma ZhETP V. 88, Is. 10 P. 752-756 (2008)]. DOI 10.1134/S0021364008220049

5. V.Yu. Argonov and S.V. Prants. Theory of dissipative chaotic atomic transport  in an optical lattice. Physical Review A. V.78 (2008) art. no 043413. DOI: 10.1103/PhysRevA.78.043413.

6. L.E. Konkov,  T.L. Chizhova, Yu.V. Koudryashova, V.M. Chodnovsky, S.V. Prants. Nonlinear dynamics of a cellular Ryanodine  channel. Nonlinear Dynamics. V.4 №2 (2008) 181-192 (in Russian).

7. Makarov D.V., Uleysky M.Yu. Local chaos induced by spatial oscillations of a perturbation. Communications in Nonlinear Science and Numerical Simulation. V. 13. P. 400-406 (2008).

8. Макаров Д.В. Активация баллистического потока частиц при воздействии слабого переменного возмущения с медленно меняющейся ориентацией. Письма в ЖТФ. Т. 34. С. 65-70 (2008).

2009

M.V. Budyansky, M.Yu. Uleysky, and S.V. Prants. Detecting barriers to cross-jet Lagrangian transport and its destruction in a meandering flow. Physical Review E. V.79 N5 (2009) art. no 056215. DOI: 10.1103/PhysRevE.79.056215

2010 

1. S.V. Prants. Hamiltonian chaos with a cold atom in an optical lattice. In book: Hamiltonian Chaos beyond the KAM Theory. (Berlin: Springer Verlag and Beijing: Higher Education Press, 2010), 193-223.

2. M.Yu. Uleysky, M.V. Budyansky, and S.V. Prants. Mechanism of destruction of the transport barriers in geophysical jets with Rossby waves. Physical Review E. V.81 (2010) art. no 017202. DOI: 10.1103/PhysRevE.81.017202

3. D. Makarov, S. Prants, A. Virovlyansky, and G. Zaslavsky. Ray and wave chaos in ocean acoustics: chaos in waveguides. Singapore: World Scientific, 2010. 388 p.

4. M.Yu. Uleysky, M.V. Budyansky, S.V. Prants. Chaotic cross-jet transport in two dimensional flows. J. Exper. Theor. Phys.  (2010) [ZhETF (2010)].

5. Makarov D.V., Sosedko E.V., Uleysky M.Yu. Frequency-modulated ratchet with autoresonance. European Physical Journal B. V. 73. P. 571-579 (2010).

6. Chacon R., Uleysky M.Yu., Makarov D.V. Universal chaotic layer width in space periodic Hamiltonian systems under adiabatic ac time-periodic forces. Europhysics Letters. V. 90. 40003 (2010).