Numerical Methods for Bifurcation Problems: Proceedings of the Conference at the University of Dortmund, August 22–26, 1983KÜPPER, MITTELMANN, H. Weber |
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1984 Birkhäuser Verlag algorithm Anal applied approximation Banach space behaviour bifurcation diagram bifurcation point bifurcation problems bifurcation theory Birkhäuser Verlag Basel boundary conditions boundary value problems codimension consider continuation methods convergence corresponding curve cusp defined denotes differential equations dimensional discrete dynamics eigenvalue evaluation example exists extended system Figure finite function given Hopf bifurcation International Series invariant circle inverse iteration iteration Jacobian Lemma linear Lorenz model manifold mapping Math matrix multi-grid Newton Newton's method nonlinear equations nonsingular Numerical Mathematics numerical solution obtained paths period doubling periodic solutions perturbations quadratic regular point resp respect Rheinboldt satisfies Series of Numerical SIAM simple bifurcation point simple turning point singular points singularity theory smooth solution branch solving space Spence stability techniques Theorem tion universal unfolding variables vector zero λο μ μ


