DNS Curves in a Production/Inventory Model

Gustav Feichtinger and A. Steindl
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A. Steindl: Vienna University of Technology

Journal of Optimization Theory and Applications, 2006, vol. 128, issue 2, No 5, 295-308

Abstract: Abstract In this paper, we investigate the bifurcation behavior of an inventory/production model close to a Hamilton-Hopf bifurcation. We show numerically that two different types of DNS curves occur: If the initial states are far from the bifurcating limit cycle, the limit cycle can be approached along different trajectories with the same cost. For a subcritical bifurcation scenario, the hyperbolic equilibrium state and the hyperbolic limit cycle coexist for some parameter range. When both the long term states yield approximately the same cost, a second DNS curve separates their domains of attraction. At the intersection of these two DNS curves, a threefold Skiba point in the state space is found.

Keywords: Optimal control; bifurcation theory; Hamilton-Hopf bifurcation; intensity splitting (search for similar items in EconPapers)
Date: 2006
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DOI: 10.1007/s10957-006-9017-8

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