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Predicting attractor characteristics using Lyapunov exponents in a laser with injected signal.
Bandy, D K; Burton, E K T; Hall, J R; Chapman, D M; Elrod, J T.
Afiliação
  • Bandy DK; Physics Department, Oklahoma State University, Stillwater, Oklahoma 74078, USA.
  • Burton EKT; Physics Department, Oklahoma State University, Stillwater, Oklahoma 74078, USA.
  • Hall JR; Physics Department, Oklahoma State University, Stillwater, Oklahoma 74078, USA.
  • Chapman DM; Physics Department, Oklahoma State University, Stillwater, Oklahoma 74078, USA.
  • Elrod JT; Physics Department, Oklahoma State University, Stillwater, Oklahoma 74078, USA.
Chaos ; 31(1): 013120, 2021 Jan.
Article em En | MEDLINE | ID: mdl-33754793
Coexisting attractors are studied in a single-mode coherent model of a laser with an injected signal. We report that every attractor has a unique Lyapunov exponent (LE) pattern that is choreographed by the subtle variations in the attractor's dynamics and circumscribed by a common Lyapunov spectral pattern that begins and ends with two-zero LEs. Lyapunov spectra form symmetric-like and asymmetric bubbles; the former foreshadows an attractor's proximity to the cusp of an eminent change in dynamics and the latter indicates the presence of a bifurcation. We show that the peak values of the asymmetric bubbles are always associated with two-zero LEs; in fact, they are allied inseparably in forecasting period-doubling episodes. The two-zero LEs' predictor of torus dynamics is refined to include the convergence of three LEs to a triplet of zeros as a precursor to the two-zero spectra. We report that the long-standing two-zero LEs' signature is a necessary but not sufficient condition for predicting attractors and their dynamic conditions. The evolution of the attractor volume as a function of the injected signal is compared to the spectral formation of the attractor; we report slope changes and points of inflections in the volume trajectory where spectral changes indicate dynamic changes. Attractor viability is tested preliminarily by including random low-level noise in the frequency of the injected signal.

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies / Risk_factors_studies Idioma: En Revista: Chaos Assunto da revista: CIENCIA Ano de publicação: 2021 Tipo de documento: Article País de afiliação: Estados Unidos

Texto completo: 1 Coleções: 01-internacional Base de dados: MEDLINE Tipo de estudo: Prognostic_studies / Risk_factors_studies Idioma: En Revista: Chaos Assunto da revista: CIENCIA Ano de publicação: 2021 Tipo de documento: Article País de afiliação: Estados Unidos