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Pathways to hopf bifurcations in dynamic continuous-time optimization problems (1996)

Wirl, F.

Springer

Journal of optimization theory and applications 91 (1996), S. 299-320

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ISSN: 1573-2878

Keywords: Optimal control ; limit cycles ; Hopf bifurcation

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Abstract The purpose of this paper is to characterize pathways to Hopf bifurcation in continuous time, concave, two-dimensional optimal control models. It is shown that essentially two pathways exist: control-state interaction and growth. The knowledge of such pathways provides a criterion at the stage of modelling on the potential complexity of optimal trajectories.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF02190098

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