1998/02/27 by E. R. Tracy, Xian-Zhu Tang, X. Z. Tang
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Fluid Dynamics and Turbulent Flows #Nonlinear Dynamics and Pattern Formation #math-ph #math.MP #nlin.CD #physics.class-ph
paper · pdf · doi:10.1016/s0375-9601(98)00200-x
6 pages
arxiv created 1998/02/27 · openalex publication_date 1998/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A general algorithm is presented for estimating the nonlinear instability threshold, σc, for subcritical transitions in systems where the linearized dynamics is significantly non-normal (i.e. subcritical bifurcations of \em Takens-Bogdanov type). The N-dimensional degenerate node is presented as an example. The predictions are then compared to numerical studies with excellent agreement.