title: Open-loop sustained chaos and control: a manifold approach.
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.
authors.affiliation: Nonlinear System Dynamics Section, U.S. Naval Research Laboratory, Code 6792, Plasma Physics Division, Washington, D.C. 20375-5000, USA.
authors.forename: Ira B
authors.initials: IB
authors.lastname: Schwartz
authors.forename: Ioana
authors.initials: I
authors.lastname: Triandaf
authors.forename: Riccardo
authors.initials: R
authors.lastname: Meucci
authors.forename: Thomas W
authors.initials: TW
authors.lastname: Carr