Skip to main content
SpringerLink
Log in

Limit cycles in economic control models

  • Theory And Computational Methods
  • Conference paper
  • First Online:
Book cover Optimal Control

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 95))

  • 161 Accesses

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Benhabib, J. and Nishimura, K., "The Hopf Bifurcation and the Existence and Stability of Closed Orbits in Multisector Models of Optimal Economic Growth", J. Econ. Theory Vol. 21, 421–444, 1979.

    Google Scholar 

  2. Feichtinger, G., "Periodic Optimal Control: Can Oscillations be Optimal in Autonomous Economic Control Models?" Working Paper, Technical University Vienna, 1986.

    Google Scholar 

  3. Näslund, B., "Consumer Behaviour and Optimal Advertising", J. Oper. Res. Soc. Vol. 30, 237–243, 1979.

    Google Scholar 

  4. Long, N.V. and Siebert, H., "Lay-Off Restraints, Employment Subsidies, and the Demand for Labour", in: G. Feichtinger (Ed.) Optimal Control Theory and Economic Analysis 2, North-Holland, Amsterdam, 293–312, 1985.

    Google Scholar 

  5. Steindl, A., Feichtinger, G., Hartl, R. and Sorger, G., "On the Optimality of Cyclical Employment Policies: A Numerical Investigation", Forschungsbericht Nr. 84, Inst. f. Ökonometrie & Operations Research, Techn. Univ. Wien, Januar 1986.

    Google Scholar 

  6. Kamien, M.I. and Schwartz, N.L., "Dynamic Optimization: The Calculus of Variations and Optimal Control in Economics and Management", North-Holland, New York, 1981.

    Google Scholar 

  7. Hartl, R.F., "A Simple Proof of the Monotonicity of the State Trajectories in Autonomous Control Problems", J. Econ. Theory 40, 1987.

    Google Scholar 

  8. Simon, H., "ADPULS: An Advertising Model with Wearout and Pulsation", J. Marketing Res. 19, 352–363, 1982.

    Google Scholar 

  9. Luhmer, A., Steindl, A., Feichtinger, G., Hartl, R. and Sorger, G., "ADPULS in Continuous Time", Forschungsbericht Nr. 91, Inst. f. Ökonometrie & Operations Research, Techn. Univ. Wien, April 1986.

    Google Scholar 

  10. Holt, C.C., Modigliani, F., Muth, J.F. and Simon, H.A., "Planning Production, Inventories and Work Force", Prentice-Hall, Englewood Cliffs, 1960.

    Google Scholar 

  11. Salop, S.C., "Wage Differentials in a Dynamic Theory of the Firm", J. Econ. Theory 6, 321–344, 1973.

    Google Scholar 

  12. Clarke, F.H., "Optimization and Non-Smooth Analysis", Wiley, New York, 1983.

    Google Scholar 

  13. Ascher, U., Christiansen, J. and Russell, R.D., "A Collocation Solver for Mixed Order Systems of Boundary Value Problems", Mathematics of Computation 33, 659–679, 1978.

    Google Scholar 

  14. Benhabib, J. and Nishimura, K., "The Hopf Bifurcation and the Existence and Stability of Closed Orbits in Multi-Sector Models of Optimal Economic Growth", J. Econ. Theory 21, 421–444, 1979.

    Google Scholar 

  15. Medio, A., "Oscillations in Optimal Growth Models", Working Paper, University of Venice, 1986.

    Google Scholar 

  16. Guckenheimer, J. and Holmes, P., "Nonlinear Oscillations, Dynamical Systems, and Bifurcation of Vector Fields, Springer, New York, 1983.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institut für Ökonometrie und Operations Research, Technische Universität Wien, A-1040, Wien, Austria

    Gustav Feichtinger

Authors
  1. Gustav Feichtinger
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Roland Bulirsch Angelo Miele Josef Stoer Klaus H. Well

Rights and permissions

Reprints and permissions

Copyright information

© 1987 Springer-Verlag

About this paper

Cite this paper

Feichtinger, G. (1987). Limit cycles in economic control models. In: Bulirsch, R., Miele, A., Stoer, J., Well, K.H. (eds) Optimal Control. Lecture Notes in Control and Information Sciences, vol 95. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0040197

Download citation

  • DOI: https://doi.org/10.1007/BFb0040197

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-17900-9

  • Online ISBN: 978-3-540-47907-9

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation