TY  - JOUR
A1  - Glatt, Erik
A1  - Busch, Hauke
A1  - Kaiser, Friedemann
A1  - Zaikin, Alexei A.
T1  - Noise-memory induced excitability and pattern formation in oscillatory neural models
N2  - We report a noise-memory induced phase transition in an array of oscillatory neural systems, which leads to the suppression of synchronous oscillations and restoration of excitable dynamics. This phenomenon is caused by the systematic contributions of temporally correlated parametric noise, i.e., possessing a memory, which stabilizes a deterministically unstable fixed point. Changing the noise correlation time, a reentrant phase transition to noise- induced excitability is observed in a globally coupled array. Since noise-induced excitability implies the restoration of the ability to transmit information, associated spatiotemporal patterns are observed afterwards. Furthermore, an analytic approach to predict the systematic effects of exponentially correlated noise is presented and its results are compared with the simulations
Y1  - 2006
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/Physreve.73.026216
SN  - 1539-3755
ER  - 
TY  - JOUR
A1  - Volkov, E. I.
A1  - Ullner, Ekkehard
A1  - Zaikin, Alexei A.
A1  - Kurths, Jürgen
T1  - Frequency-dependent stochastic resonance in inhibitory coupled excitable systems
N2  - 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
Y1  - 2003
SN  - 1063-651X
ER  - 
TY  - JOUR
A1  - Baltanás, J. P.
A1  - Zaikin, Alexei A.
A1  - Feudel, Fred
A1  - Kurths, Jürgen
A1  - Sanjuan, Miguel Angel Fernández
T1  - Noise-induced effects in tracer dynamics
Y1  - 2002
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Topaj, Dmitri
A1  - Garcia-Ojalvo, Jordi
T1  - Noise-enhanced propagation of bichromatic signals
N2  - We examine the influence of noise on the propagation of harmonic signals with two frequencies through discrete bistable media. We show that random fluctuations enhance propagation of this kind of signals for low coupling strengths, similarly to what happens with purely monochromatic signals. As a more relevant finding, we observe that the frequency being propagated with better efficiency can be selected by tuning the intensity of the noise, in such a way that for large noises the highest frequency is transmitted better than the lower one, whereas for small noises the reverse holds. Such a noise-induced frequency selection can be expected to exist for general multifrequency harmonic signals.
Y1  - 2002
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - García-Ojalvo, Jordi
A1  - Schimansky-Geier, Lutz
A1  - Kurths, Jürgen
T1  - Noise induced propagation in monostable media
N2  - We show that external fluctuations are able to induce propagation of harmonic signals through monostable media. This property is based on the phenomenon of doubly stochastic resonance, where the joint action of multiplicative noise and spatial coupling induces bistability in an otherwise monostable extended medium, and additive noise resonantly enhances the response of the system to a harmonic forcing. Under these conditions, propagation of the harmonic signal through the unforced medium i observed for optimal intensities of the two noises. This noise-induced propagation is studied and quantified in a simple model of coupled nonlinear electronic circuits.
Y1  - 2002
UR  - http://link.aps.org/abstract/PRL/v88/e010601
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - López, L
A1  - Baltanás, J. P.
A1  - Kurths, Jürgen
A1  - Sanjuan, Miguel Angel Fernández
T1  - Vibrational resonance in noise-induced structure
N2  - We report on the effect of vibrational resonance in a spatially extended system of coupled noisy oscillators under the action of two periodic forces, a low-frequency one (signal) and a high-frequency one (carrier). Vibrational resonance manifests itself in the fact that for optimally selected values of high-frequency force amplitude, the response of the system to a low-frequency signal is optimal. This phenomenon is a synthesis of two effects, a noise- induced phase transition leading to bistability, and a conventional vibrational resonance, resulting in the optimization of signal processing. Numerical simulations, which demonstrate this effect for an extended system, can be understood by means of a zero-dimensional "effective" model. The behavior of this "effective" model is also confirmed by an experimental realization of an electronic circuit.
Y1  - 2002
UR  - http://link.aps.org/abstract/PRE/v66/e011106
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  - Pikovskij, Arkadij
A1  - Zaikin, Alexei A.
A1  - de la Casa, M. A.
T1  - System Size Resonance in Coupled Noisy Systems and in the Ising Model
N2  - We consider an ensemble of coupled nonlinear noisy oscillators demonstrating in the thermodynamic limit an Ising-type transition. In the ordered phase and for finite ensembles stochastic flips of the mean field are observed with the rate depending on the ensemble size. When a small periodic force acts on the ensemble, the linear response of the system has a maximum at a certain system size, similar to the stochastic resonance phenomenon. We demonstrate this effect of system size resonance for different types of noisy oscillators and for different ensemblesùlattices with nearest neighbors coupling and globally coupled populations. The Ising model is also shown to demonstrate the system size resonance.
Y1  - 2002
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Murali, K.
A1  - Kurths, Jürgen
T1  - Simple electronic circuit model for doubly stochastic resonance
N2  - We have recently reported the phenomenon of doubly stochastic resonance [Phys. Rev. Lett. 85, 227 (2000)], a synthesis of noise-induced transition and stochastic resonance. The essential feature of this phenomenon is that multiplicative noise induces a bimodality and additive noise causes stochastic resonance behavior in the induced structure. In the present paper we outline possible applications of this effect and design a simple lattice of electronic circuits for the experimental realization of doubly stochastic resonance.
Y1  - 2001
UR  - http://link.aps.org/abstract/PRE/v63/e020103
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  - Zaikin, Alexei A.
A1  - Kurths, Jürgen
T1  - Additive noise in noise-induced nonequilibrium transitions
Y1  - 2001
SN  - 1054-1500
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Kurths, Jürgen
A1  - Schimansky-Geier, Lutz
T1  - Doubly stochastic resonance
N2  - 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.
Y1  - 2000
UR  - http://link.aps.org/abstract/PRL/v85/p227
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Kurths, Jürgen
T1  - Additive noise and noise-induced nonequilibrium phase transitions
Y1  - 2000
SN  - 1-563-96826-6
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  - Schimansky-Geier, Lutz
T1  - Ordering role of additive noise in extended media
Y1  - 1999
SN  - 1373-5411
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.
T1  - Noise-induced phase transitions in nonlinear oscillators
Y1  - 1999
SN  - 1-563-96863-0
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Garcia-Ojalvo, Jordi
A1  - Schimansky-Geier, Lutz
T1  - Nonequilibrium first-order phase transition inducd by additive noise
Y1  - 1999
ER  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Kurths, Jürgen
T1  - Modeling Cognitive Control in Simple Movements
Y1  - 1999
SN  - 1-563-96863-0
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  - 
TY  - JOUR
A1  - Zaikin, Alexei A.
A1  - Rosenblum, Michael
A1  - Scheffczyk, Christian
A1  - Engbert, Ralf
A1  - Krampe, Ralf-Thomas
A1  - Kurths, Jürgen
T1  - Modeling qualitative changes in bimanual movements
Y1  - 1997
ER  - 
TY  - JOUR
A1  - Scheffczyk, Christian
A1  - Engbert, Ralf
A1  - Krampe, Ralf-Thomas
A1  - Kurths, Jürgen
A1  - Rosenblum, Michael
A1  - Zaikin, Alexei A.
T1  - Nonlinear Modelling of Polyrhythmic Hand Movements
Y1  - 1996
ER  -