Journal ArticleOPEN ACCESS

Instabilities of the Ginzburg-Landau equation. II. Secondary bifurcation

  • Newton P
  • Sirovich L
Quarterly of Applied Mathematics (1986) 44(2) 367-374
DOI: 10.1090/qam/856192
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Abstract

A perturbation treatment of secondary bifurcation for the Ginzburg-Landau equation is presented. An analytical form for limit cycle instability is determined. This is compared with numerical results and shown to be in good agreement over a wide parameter range.

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Newton, P. K., & Sirovich, L. (1986). Instabilities of the Ginzburg-Landau equation. II. Secondary bifurcation. Quarterly of Applied Mathematics, 44(2), 367–374. https://doi.org/10.1090/qam/856192

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