TY  - BOOK
A1  - Blechman, Ilja I.
A1  - Landa, Polina S.
A1  - Rosenblum, Michael
T1  - Synchronization and chaotization in interacting dynamical systems
T3  - Preprint NLD
Y1  - 1995
VL  - 24
PB  - Univ.
CY  - Potsdam
ER  - 
TY  - JOUR
A1  - Landa, Polina S.
A1  - Ushakov, Vladimir
A1  - Kurths, Jürgen
T1  - Rigorous theory of stochastic resonance in overdamped bistable oscillators for weak signals
JF  - Chaos, solitons & fractals : applications in science and engineering
N2  - 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.
Y1  - 2006
UR  - http://www.sciencedirect.com/science/journal/09600779
U6  - https://doi.org/10.1016/j.chaos.2005.08.116
SN  - 0960-0779
VL  - 30
IS  - 3
SP  - 574
EP  - 578
PB  - Elsevier
CY  - Amsterdam
ER  - 
TY  - JOUR
A1  - Landa, Polina S.
A1  - Zaikin, Alexei A
A1  - Kurths, Jürgen
T1  - On noise-induced transitions in nonlinear oscillators
Y1  - 2000
SN  - 3-540- 41074-0
ER  - 
TY  - JOUR
A1  - Landa, Polina S.
A1  - Zaikin, Alexei A.
T1  - Fluctuational transport of a Brownian particle in ratchet-like gravitational potential field
Y1  - 2002
ER  - 
TY  - JOUR
A1  - Landa, Polina S.
A1  - Zaikin, Alexei A.
T1  - Noise-induced phase transitions in nonlinear oscillators
Y1  - 1999
SN  - 1-563-96863-0
ER  - 
TY  - JOUR
A1  - Landa, Polina S.
A1  - Zaikin, Alexei A.
A1  - Ginevsky, A. S.
A1  - Vlasov, Ye. V.
T1  - Turbulence and coherent structures in subsonic submerged jets : control of turbulence
Y1  - 1999
SN  - 0218-1274
ER  - 
TY  - JOUR
A1  - Landa, Polina S.
A1  - Zaikin, Alexei A.
A1  - Schimansky-Geier, Lutz
T1  - Effect of the potential shape and of a Brownian particle mass on noise-induced transport
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Landa, Polina S.
A1  - Zaikin, Alexei A.
A1  - Ushakov, V. G.
A1  - Kurths, Jürgen
T1  - Influence of additive noise on transitions in nonlinear systems
N2  - 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.
Y1  - 2000
UR  - http://link.aps.org/abstract/PRE/v61/p4809
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Rosenblum, Michael
A1  - Landa, Polina S.
A1  - Kurths, Jürgen
T1  - On-off itermittency phenomena in a pendulum with a randomly vibrating suspension axis
Y1  - 1998
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Rosenblum, Michael
A1  - Landa, Polina S.
A1  - Kurths, Jürgen
T1  - Control of noise-induced oscillations of a pendulum with a rondomly vibrating suspension axis
Y1  - 1997
ER  -