Global manifold control in a driven laser: sustaining chaos and regular dynamics
Anno: 2004
Autori: Meucci R., Cinotti D., Allaria E., Billings L., Triandaf I., Morgan D., Schwartz I.B.
Affiliazione autori: Istituto Nazionale di Ottica Applicata, Largo E. Fermi 6, 50125 Firenze, Italy;
Department of Mathematical Sciences, Montclair State University, Upper Montclair, NJ 07043, USA;
Naval Research Laboratory, Plasma Physics Division, Code 6792, Washington DC 20375-5000, USA
Abstract: We present experimental and numerical evidence of a multi-frequency phase control able to preserve periodic behavior within a chaotic window as well as to re-excite chaotic behavior when it is destroyed by the presence of a mitigating unstable periodic orbit created in the presence of the multi-frequency drive. The mitigating saddle controlling the global behavior is identified and the controlling manifolds approximated. (C) 2003 Elsevier B.V. All rights reserved.
Giornale/Rivista: PHYSICA D-NONLINEAR PHENOMENA
Volume: 189 (1-2) Da Pagina: 70 A: 80
Maggiori informazioni: RM and EA are supported by the European Contract HPRN CT 2000 00158. IBS and IT are supported by the Office of Naval Research. LB was supported by ONR grant N00173-02-G909. DM is a National Research Council Post Doctoral Fellow. We would like to acknowledge Prof. Thomas Carr for useful discussions, and for pointing out some of analytic local bifurcation results in the literature. Appendix AParole chiavi: Acoustooptical effects; Amplitude modulation; Chaos theory; Frequency modulation; Harmonic generation; Light modulators; Lyapunov methods; Nonlinear systems; Oscillators (electronic); Perturbation techniques; Phase control; System stability, Open loop control; Optical cavities, LasersDOI: 10.1016/j.physd.2003.09.033Citazioni: 20dati da “WEB OF SCIENCE” (of Thomson Reuters) aggiornati al: 2025-05-18Riferimenti 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
