2013/09/21 by Debapriya Das, Das, Debapriya, Dhruba Banerjee +3
Computer Science · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Dynamics and Pattern Formation #math-ph #math.MP #nlin.CD #stochastic dynamics and bifurcation
paper · pdf · doi:10.48550/arxiv.1309.5470
16 pages, 7 figures
arxiv created 2013/09/21 · openalex publication_date 2013/09/21 · arxiv updated 2013/09/24 · openalex created_date 2022/08/20 · openalex updated_date 2026/07/28
Hopf bifurcations have been studied perturbatively under two broad headings, viz., super-critical and sub-critical. The criteria for occurrences of such bifurcations have been investigated using the renormalization group. The procedure has been described in details for both two and three dimensions and has been applied to several important models, including those by Lorenz and Rossler.