We use normal vectors on manifolds of critical points to measure the distance between these manifolds and equilibrium solutions as suggested in I. Dobson [J.

In this work we show that normal vectors on bifurcation manifolds can be used not only to ensure parametric robustness with respect to bifurcations at which an ...

They enforce compliance with a minimal parametric distance from bifurcation manifolds, which yields optimal parameters leading to robust asymptotic stability. .

Normal vectors on manifolds of critical points for parametric robustness of equilibrium solutions of ODE systems. Mönnigmann, Martin; Marquardt, Wolfgang.

Normal vectors on manifolds of critical points for parametric robustness of equilibrium solutions of ODE systems. Mönnigmann, Martin; Marquardt, Wolfgang.

These critical points unfold to manifolds in the parameter space of the nonlinear system separating parts of the parameter space that admit trajectories that do ...

Normal vectors on manifolds of critical points for parametric robustness of equilibrium solutions of ODE systems. M Mönnigmann, W Marquardt. Journal of ...

This work considers two types of points—grazing points and end-points—on the trajectory of a nonlinear system tangentially touches a hypersurface spanned by ...

Normal vectors on manifolds of critical points for parametric robustness of equilibrium solutions of ODE systems. Nonlinear Sci, 12 (2) (2002), pp. 85-112.

Dynamic systems that are subject to fast disturbances, parametrised by a disturbance vector d, undergo bifurcations for some values of the disturbance d.