CNCS Center for Nonlinear and Complex Systems
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Publications [#248378] of Joshua Socolar

Papers Published

  1. Hövel, P; Socolar, JES, Stability domains for time-delay feedback control with latency., Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics, vol. 68 no. 3 Pt 2 (September, 2003), pp. 036206, ISSN 1539-3755 [14524867], [doi]
    (last updated on 2019/06/16)

    Abstract:
    We generalize a known analytical method for determining the stability of periodic orbits controlled by time-delay feedback methods when latencies associated with the generation and injection of the feedback signal cannot be ignored. We discuss the case of extended time-delay autosynchronization and show that nontrivial qualitative features of the domain of control observed in experiments can be explained by taking into account the effects of both the unstable eigenmode and a single stable eigenmode in the Floquet theory.