Control Bifurcations Arthur J. Krener Department of Applied Mathematics Naval Postgraduate School Monterey, CA 93943 USA e-mail: ajkrener@nps.edu A parametrized nonlinear differential equation can have multiple equilibria as the parameter is varied. A local bifurcation of a parametrized differential equation occurs at an equilibrium where there is a change in the topological character of the nearby solution curves. ... From this e normal form, the type of the bifurcation can be determined. ...

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