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Erschienen in:
21.11.2023
Numerical Technique for Determining the Bifurcation Points of the Nonlinear Maxwell Operator (Maxwell’s Equations Together with the Landau–Lifshitz Equation)
Erschienen in: Technical Physics | Ausgabe 8/2023
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Abstract
A computational algorithm is constructed, which implements a numerical analysis of the bifurcation points of the nonlinear Maxwell operator (the system of Maxwell equations together with the Landau–Lifshitz equation). Numerical analysis of branch points of nonlinear Maxwell equations is carried out under the assumption that one solution in the vicinity of a singular point is known and obtained using a decomposition computational algorithm, which is then “enhanced” by a qualitative method of branch point analysis. Necessary and sufficient conditions for the existence of bifurcation points for the eigenvalues of the linearized Maxwell operator are formulated.