Numerical Periodic Normalization for Codim 2 Bifurcations of Limit Cycles: Computational Formulas, Numerical Implementation, and Examples
نویسندگان
چکیده
منابع مشابه
Numerical Periodic Normalization for Codim 1 Bifurcations of Limit Cycles
Abstract. Explicit computational formulas for the coefficients of the periodic normal forms for all codim 1 bifurcations of limit cycles in generic autonomous ODEs are derived. They include second-order coefficients for the fold (limit point) bifurcation, as well as third-order coefficients for the flip (period-doubling) and Neimark-Sacker (torus) bifurcations. The formulas are independent of t...
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ژورنال
عنوان ژورنال: SIAM Journal on Applied Dynamical Systems
سال: 2013
ISSN: 1536-0040
DOI: 10.1137/120874904