@article{LandaZaikin2002, author = {Landa, Polina S. and Zaikin, Alexei A.}, title = {Fluctuational transport of a Brownian particle in ratchet-like gravitational potential field}, year = {2002}, language = {en} } @book{BlechmanLandaRosenblum1995, author = {Blechman, Ilja I. and Landa, Polina S. and Rosenblum, Michael}, title = {Synchronization and chaotization in interacting dynamical systems}, series = {Preprint NLD}, volume = {24}, journal = {Preprint NLD}, publisher = {Univ.}, address = {Potsdam}, pages = {40 S.}, year = {1995}, language = {en} } @article{ZaikinRosenblumLandaetal.1998, author = {Zaikin, Alexei A. and Rosenblum, Michael and Landa, Polina S. and Kurths, J{\"u}rgen}, title = {On-off itermittency phenomena in a pendulum with a randomly vibrating suspension axis}, year = {1998}, language = {en} } @article{LandaUshakovKurths2006, author = {Landa, Polina S. and Ushakov, Vladimir and Kurths, J{\"u}rgen}, title = {Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals}, series = {Chaos, solitons \& fractals : applications in science and engineering}, volume = {30}, journal = {Chaos, solitons \& fractals : applications in science and engineering}, number = {3}, publisher = {Elsevier}, address = {Amsterdam}, issn = {0960-0779}, doi = {10.1016/j.chaos.2005.08.116}, pages = {574 -- 578}, year = {2006}, abstract = {The results of the theoretical consideration of stochastic resonance in overdamped bistable oscillators are given. These results are founded not on the model of two states as in [McNamara B, Wiesenfeld K. Theory of stochastic resonance. Phys Rev A 1989;39:4854-69], but on splitting of motion into regular and random and the rigorous solution of the Fokker-Planck equation for the random component. We show that this resonance is caused by a change, under the influence of noise, of the system's effective stiffness and damping factor contained in the equation for the regular component. For a certain value of the noise intensity the effective stiffness is minimal, and this fact causes non-monotonic change of the output signal amplitude as the noise intensity changes. It is important that the location of the minimum and its value depend essentially on the signal frequency.}, language = {en} } @article{ZaikinRosenblumLandaetal.1997, author = {Zaikin, Alexei A. and Rosenblum, Michael and Landa, Polina S. and Kurths, J{\"u}rgen}, title = {Control of noise-induced oscillations of a pendulum with a rondomly vibrating suspension axis}, year = {1997}, language = {en} } @article{LandaZaikinSchimanskyGeier2001, author = {Landa, Polina S. and Zaikin, Alexei A. and Schimansky-Geier, Lutz}, title = {Effect of the potential shape and of a Brownian particle mass on noise-induced transport}, year = {2001}, language = {en} } @article{LandaZaikinUshakovetal.2000, author = {Landa, Polina S. and Zaikin, Alexei A. and Ushakov, V. G. and Kurths, J{\"u}rgen}, title = {Influence of additive noise on transitions in nonlinear systems}, year = {2000}, abstract = {The effect of additive noise on transitions in nonlinear systems far from equilibrium is studied. It is shown that additive noise in itself can induce a hidden phase transition, which is similar to the transition induced by multiplicative noise in a nonlinear oscillator [P. Landa and A. Zaikin, Phys. Rev. E 54, 3535 (1996)]. Investigation of different nonlinear models that demonstrate phase transitions induced by multiplicative noise shows that the influence of additive noise upon such phase transitions can be crucial: additive noise can either blur such a transition or stabilize noise-induced oscillations.}, language = {en} } @article{LandaZaikinKurths2000, author = {Landa, Polina S. and Zaikin, Alexei A and Kurths, J{\"u}rgen}, title = {On noise-induced transitions in nonlinear oscillators}, isbn = {3-540- 41074-0}, year = {2000}, language = {en} } @article{LandaZaikinGinevskyetal.1999, author = {Landa, Polina S. and Zaikin, Alexei A. and Ginevsky, A. S. and Vlasov, Ye. V.}, title = {Turbulence and coherent structures in subsonic submerged jets : control of turbulence}, issn = {0218-1274}, year = {1999}, language = {en} } @article{LandaZaikin1999, author = {Landa, Polina S. and Zaikin, Alexei A.}, title = {Noise-induced phase transitions in nonlinear oscillators}, isbn = {1-563-96863-0}, year = {1999}, language = {en} }