Open-loop sustained chaos and control: A manifold approach
Anno: 2002
Autori: Schwartz I.B., Triandaf I., Meucci R., Carr T.W.
Affiliazione autori: Nonlinear System Dynamics Section, U.S. Naval Research Laboratory, Plasma Physics Division, Code 6792, Washington, DC, 20375-5000, United States; Istituto Nazionale di Ottica Applicata, Florence, 50125, Italy; Department of Mathematics, Southern Methodist University, Dallas, YX, 75275-0156, United States
Abstract: We present a general method for preserving chaos in nonchaotic parameter regimes as well as preserving periodic behavior in chaotic regimes using a multifrequency phase control. The systems considered are nonlinear systems driven at a base frequency. Multifrequency phase control is defined as the addition of small subharmonic amplitude modulation coupled with a phase shift. By implementing multifrequency control, stable and unstable manifold intersections in postcrisis regimes may be manipulated to sustain chaos as well as to sustain periodic behavior. The theory and a preliminary experiment are demonstrated for a CO2 driven laser.
Giornale/Rivista: PHYSICAL REVIEW E
Volume: 66 (2) Da Pagina: 026213-1 A: 026213-7
Parole chiavi: Chaos systems; Design parameters; Phase space; Population models, Amplitude modulation; Bifurcation (mathematics); Boundary conditions; Frequencies; Nonlinear systems; Phase control; Phase shift; Statistical mechanics, Chaos theoryDOI: 10.1103/PhysRevE.66.026213Citazioni: 15dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2024-04-28Riferimenti tratti da Isi Web of Knowledge: (solo abbonati) Link per visualizzare la scheda su IsiWeb: Clicca quiLink per visualizzare la citazioni su IsiWeb: Clicca qui