Pseudo-arclength continuation is a numerical technique used to trace solution curves of nonlinear equations as parameters change, overcoming the limitations of standard continuation methods that may fail at turning points or bifurcations. This method reformulates the problem to include an additional pseudo-arclength variable, allowing for smooth tracking of solutions even when they might otherwise become disconnected. It is particularly useful in numerical bifurcation analysis, as it enables the exploration of complex behaviors in dynamical systems as parameters vary.
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