The paper analyses dynamical growth models predicting the cyclic development of investigated economic factors. The provided research deals with an optimal control problem based on the economic growth model with the production function of Cobb–Douglas type. Following the Pontryagin maximum principle, we derived the Hamiltonian system and conducted its qualitative analysis, which reveals conditions for the cyclic behaviour of the optimal solutions around the isolate steady state. Numerical experiments visually illustrated the obtained results by demonstrating a phase portrait corresponding to a steady state of the focal type. © 2023 by the authors.
Original languageEnglish
Article number2452
Issue number11
Publication statusPublished - 2023

    ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • Computer Science (miscellaneous)

    WoS ResearchAreas Categories

  • Mathematics

ID: 40595993