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Bifurcation of Control Sets at Singular Points

Stefan M. Grünvogel (2000)
In: Equadiff 99, pp. 853-855 (2000)

https://doi.org/10.1142/9789812792617_0167

Abstract

We look at a control affine system in ℝd with a singular point x* ∈ ℝd. Motivated by the example of the perturbed Duffing-van der Pol equation we show, that under a condition on the Lyapunov exponents, there exists a control set D ⊂ ℝd with nonvoid interior such that x* ∈ closure(D).

Bifurcation of Control Sets at Singular Points