In many nonequilibrium dynamical situations delays are crucial in inducing chaotic
scenarios. In particular, a delayed feedback in an oscillator can break the regular oscillation
into trains mutually uncorrelated in phase, whereby the phase jumps are localized as
defects in an extended system. We show that an adaptive control procedure is effective in
suppressing these defects and stabilizing the regular oscillations. The analysis of the
transient times for achieving control demonstrates that stabilization is obtained within an …

In many nonequilibrium dynamical situations delays are crucial in inducing chaotic
scenarios. In particular, a delayed feedback in an oscillator can break the regular oscillation
into trains mutually uncorrelated in phase, whereby the phase jumps are localized as
defects in an extended system. We show that an adaptive control procedure is effective in
suppressing these defects and stabilizing the regular oscillations. The analysis of the
transient times for achieving control demonstrates that stabilization is obtained within an …