dc.contributor.author | Sieber, J. | |
dc.contributor.author | Omel'chenko, Oleh E. | |
dc.contributor.author | Wolfrum, Matthias | |
dc.date.accessioned | 2014-07-17T15:04:11Z | |
dc.date.issued | 2014-02-05 | |
dc.description.abstract | We present a control scheme that is able to find and stabilize an unstable chaotic regime in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it loses its attractivity. Similar to classical delayed feedback control, the scheme is noninvasive, however only in an appropriately relaxed sense considering the chaotic regime as a statistical equilibrium displaying random fluctuations as a finite size effect. We demonstrate the control scheme for so-called chimera states, which are coherence-incoherence patterns in coupled oscillator systems. The control makes chimera states observable close to coherence, for small numbers of oscillators, and for random initial conditions. | en_GB |
dc.description.sponsorship | Engineering and Physical Sciences Research Council (EPSRC) | en_GB |
dc.identifier.citation | Vol. 112 (5), article 054102 | en_GB |
dc.identifier.doi | 10.1103/PhysRevLett.112.054102 | |
dc.identifier.grantnumber | EP/J010820/1 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/15211 | |
dc.language.iso | en | en_GB |
dc.publisher | American Physical Society | en_GB |
dc.relation.url | http://www.ncbi.nlm.nih.gov/pubmed/24580597 | en_GB |
dc.title | Controlling unstable chaos: stabilizing chimera states by feedback | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2014-07-17T15:04:11Z | |
dc.identifier.issn | 0031-9007 | |
exeter.place-of-publication | United States | |
dc.description | Copyright © 2014 American Physical Society | en_GB |
dc.identifier.eissn | 1079-7114 | |
dc.identifier.journal | Physical Review Letters | en_GB |