1999/01/20 by David J. Christini, Christini, David J., Daniel T. Kaplan +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Neuroscience · Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Biological sciences #FOS: Physical sciences #Fractal and DNA sequence analysis #Nonlinear Dynamics and Pattern Formation #Photoreceptor and optogenetics research #Quantitative Biology (q-bio) #Scientific Research and Discoveries #chao-dyn #nlin.CD #q-bio
paper · pdf · doi:10.48550/arxiv.chao-dyn/9901020
11 pages, 2 embedded figures
arxiv created 1999/01/20 · openalex publication_date 1999/01/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Dynamical control of excitable biological systems is often complicated by the\ndifficult and unreliable task of pre-control identification of unstable\nperiodic orbits (UPOs). Here we show that, for both chaotic and nonchaotic\nsystems, UPOs can be located, and their dynamics characterized, during control.\nTracking of system nonstationarities emerges naturally from this approach. Such\na method is potentially valuable for the control of excitable biological\nsystems, for which pre-control UPO identification is often impractical and\nnonstationarities (natural or stimulation-induced) are common.\n