Optimisation of Cycling Trends in Hamiltonian Systems of Economic Growth Models

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