Optimal oscillations in control models: How can constant demand lead to cyclical production ?

DOI10.1016/0167-6377(86)90064-7zbMath0615.49009OpenAlexW1984343166MaRDI QIDQ1820419

Gerhard Sorger, Gustav Feichtinger

Publication date: 1986

Published in: Operations Research Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-6377(86)90064-7

zbMATH Keywords

Hopf bifurcationproduction planningperiodic controlstable limit cyclescontrol switchesoscillating state variable

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Production models (90B30) Nonlinear systems in control theory (93C10) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Inventory, storage, reservoirs (90B05) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15) Optimality conditions for problems involving ordinary differential equations (49K15)

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FAST OSCILLATIONS IN A SINGULARLY PERTURBED PRODUCTION MODEL ⋮ DNS curves in a production/inventory model ⋮ Pathways to Hopf bifurcations in dynamic continuous-time optimization problems ⋮ Gustav Feichtinger celebrates his 70th birthday ⋮ Dynamic demand and noncompetitive pricing strategies ⋮ Limit cycles in intertemporal adjustment models ⋮ Optimal dynamic investment policies under concave-convex adjustment costs ⋮ Limit cycles in dynamic economic systems ⋮ Cyclical strategies in two-dimensional optimal control models: Necessary conditions and existence ⋮ Limit cycles in intertemporal adjustment models. Theory and applications

Cites Work

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• The Hopf bifurcation and the existence and stability of closed orbits in multisector models of optimal economic growth
• Non-Convexities in Continuous-Time Investment Theory

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