@article{ZaikinKurths2000, author = {Zaikin, Alexei A. and Kurths, J{\"u}rgen}, title = {Additive noise and noise-induced nonequilibrium phase transitions}, isbn = {1-563-96826-6}, year = {2000}, language = {en} } @article{ZaikinKurths2001, author = {Zaikin, Alexei A. and Kurths, J{\"u}rgen}, title = {Additive noise in noise-induced nonequilibrium transitions}, issn = {1054-1500}, year = {2001}, 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{ZaikinKurthsSchimanskyGeier2000, author = {Zaikin, Alexei A. and Kurths, J{\"u}rgen and Schimansky-Geier, Lutz}, title = {Doubly stochastic resonance}, year = {2000}, abstract = {We report the effect of doubly stochastic resonance which appears in nonlinear extended systems if the influence of noise is twofold: A multiplicative noise induces bimodality of the mean field of the coupled network and an independent additive noise governs the dynamic behavior in response to small periodic driving. For optimally selected values of the additive noise intensity stochastic resonance is observed, which is manifested by a maximal coherence between the dynamics of the mean field and the periodic input. Numerical simulations of the signal-to-noise ratio and theoretical results from an effective two state model are in good quantitative agreement.}, 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{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} } @article{VolkovUllnerZaikinetal.2003, author = {Volkov, E. I. and Ullner, Ekkehard and Zaikin, Alexei A. and Kurths, J{\"u}rgen}, title = {Frequency-dependent stochastic resonance in inhibitory coupled excitable systems}, issn = {1063-651X}, year = {2003}, abstract = {We study frequency selectivity in noise-induced subthreshold signal processing in a system with many noise- supported stochastic attractors which are created due to slow variable diffusion between identical excitable elements. Such a coupling provides coexisting of several average periods distinct from that of an isolated oscillator and several phase relations between elements. We show that the response of the coupled elements under different noise levels can be significantly enhanced or reduced by forcing some elements in resonance with these new frequencies which correspond to appropriate phase relations}, 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{ZaikinKurths1999, author = {Zaikin, Alexei A. and Kurths, J{\"u}rgen}, title = {Modeling Cognitive Control in Simple Movements}, isbn = {1-563-96863-0}, year = {1999}, language = {en} } @article{ZaikinRosenblumScheffczyketal.1997, author = {Zaikin, Alexei A. and Rosenblum, Michael and Scheffczyk, Christian and Engbert, Ralf and Krampe, Ralf-Thomas and Kurths, J{\"u}rgen}, title = {Modeling qualitative changes in bimanual movements}, year = {1997}, language = {en} }