Klaus Jaenich

most citedMathematical remarks on transcritical bifurcation in Hamiltonian systems

3 citations · 5 across the 2 of their papers we have counts for

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2 papers

math.SG2007★ 2 cited

Bifurcation of straight-line librations

Klaus Jaenich

We study a class of 2-dimensional Hamiltonian systems $H (x, y, p_{x}, p_{y}) = \frac{1}{2} (p_{x}^{2} + p_{y}^{2}) + V (x, y)$ in which the plane $x$ = $p_{x}$ =0 is invariant under the Hamiltonian flow, so that…

math.SG2007★ 3 cited

Mathematical remarks on transcritical bifurcation in Hamiltonian systems

Klaus Jaenich

This article is meant as a mathematical appendix or comment on [BT]. We first consider the notion of transcritical bifurcations of fixed points of general area-preserving maps, and…