Abstract
Consider the finite-dimensional nonlinear system
of n equations in n variables x = (x1,…,xn)T depending on an additional real parameter t and let G: Rn × R → R11 be a sufficiently smooth mapping. In some neighbourhood D ⊂ Rn × R of (x*,t*) with G(x*,t*) = 0 we assume the system to have a one-dimensional smooth manifold
of solutions.
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Menzel, R. (1984). Numerical Determination of Multiple Bifurcation Points. In: Küpper, T., Mittelmann, H.D., Weber, H. (eds) Numerical Methods for Bifurcation Problems. International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 70. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6256-1_21
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DOI: https://doi.org/10.1007/978-3-0348-6256-1_21
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