Time-delayed feedback control is well known as a practical method for stabilizing unstable
periodic orbits embedded in chaotic attractors. The method is based on applying feedback …

The time needed to exchange information in the physical world induces a delay term when
the respective system is modeled by differential equations. Time delays are hence …

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 …

We refute an often invoked theorem which claims that a periodic orbit with an odd number of
real Floquet multipliers greater than unity can never be stabilized by time-delayed feedback …

We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear
dynamical systems. Our method does not require a mathematical model of the dynamical …

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 …

We present an asymptotic analysis of time-delayed feedback control of steady states for
large delay time. By scaling arguments, and a detailed comparison with exact solutions, we …

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 …

We investigate the normal form of a subcritical Hopf bifurcation subjected to time-delayed
feedback control. Bifurcation diagrams which cover time-dependent states as well are …

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 …