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- B Hauschildt, N B Janson, A Balanov, E Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2006

We investigate feedback control of the cooperative dynamics of two coupled neural oscillators that is induced merely by external noise. The interacting neurons are modeled as FitzHugh-Nagumo systems with parameter values at which no autonomous oscillations occur, and each unit is forced by its own source of random fluctuations. Application of delayed… (More)

- N B Janson, A G Balanov, E Schöll
- Physical review letters
- 2004

Time-delayed feedback is exploited for controlling noise-induced motion in coherence resonance oscillators. Namely, under the proper choice of time delay, one can either increase or decrease the regularity of motion. It is shown that in an excitable system, delayed feedback can stabilize the frequency of oscillations against variation of noise strength.… (More)

- A. G. Balanov
- 2004

We propose a method to control noise-induced motion, based on using delayed feedback in the form of the difference between the delayed and the current states of the system. The method is applied to two different types of systems, namely, a self-oscillator near Andronov-Hopf bifurcation and a threshold system. In both cases we demonstrate that by variation… (More)

- S Rzeczinski, N B Janson, A G Balanov, P V E McClintock
- Physical review. E, Statistical, nonlinear, and…
- 2002

Cardiorespiratory synchronization under paced respiration is studied systematically as the respiration frequency is changed between 3 and 30 breaths per min. We plot a one-dimensional cut of the classical picture of synchronization regions along the line defining the current breathing amplitude. The existence of n:m synchronization regions of finite width… (More)

- A G Balanov, N B Janson, E Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2005

We study the effect of time delayed feedback control in the form proposed by Pyragas on deterministic chaos in the Rössler system. We reveal the general bifurcation diagram in the parameter plane of time delay tau and feedback strength K which allows one to explain the phenomena that have been discovered in some previous works. We show that the bifurcation… (More)

- N B Janson, A G Balanov, V S Anishchenko, P V McClintock
- Physical review letters
- 2001

A novel approach is suggested for detecting the presence or absence of synchronization between two or three interacting processes with different time scales in univariate data. It is based on an angle-of-return-time map. A model is derived to describe analytically the behavior of angles for a periodic oscillator under weak periodic and quasiperiodic… (More)

- N B Janson, A G Balanov, V S Anishchenko, P V E McClintock
- Physical review. E, Statistical, nonlinear, and…
- 2002

The recently proposed approach to detect synchronization from univariate data is applied to heart-rate-variability (HRV) data from ten healthy humans. The approach involves introducing angles for return times map and studying their behavior. For filtered human HRV data, it is demonstrated that: (i) in many of the subjects studied, interactions between… (More)

- J Hizanidis, A Balanov, A Amann, E Schöll
- Physical review letters
- 2006

We show that front motion can be induced by noise in a spatially extended excitable system with a global constraint. Our model system is a semiconductor superlattice exhibiting complex dynamics of electron accumulation and depletion fronts. The presence of noise induces a global change in the dynamics of the system forcing stationary fronts to move through… (More)

- G Stegemann, A G Balanov, E Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2006

The influence of time-delayed feedback upon the spatiotemporal current density patterns is investigated in a model of a semiconductor nanostructure, namely a double-barrier resonant tunneling diode. The parameters are chosen below the Hopf bifurcation, where the only stable state of the system is a spatially inhomogeneous "filamentary" steady state. The… (More)

- G Stegemann, A G Balanov, E Schöll
- Physical review. E, Statistical, nonlinear, and…
- 2005

We investigate the influence of noise upon the dynamics of the current density distribution in a model of a semiconductor nanostructure, namely, a double barrier resonant tunneling diode. We fix the parameters of the device below the Hopf bifurcation, where the only stable state of the system is a spatially inhomogeneous "filamentary" steady state. We show… (More)