POLAT, GÜLDEN GÜNÖzer, Teoman2023-01-132023-01-132021Polat, G. G., & Özer, T. (2021). On Ramsey Dynamical Model and Closed-Form Solutions. Journal of Nonlinear Mathematical Physics, 28(2), 209-218.1402-9251https://doi.org/10.2991/jnmp.k.210103.001https://hdl.handle.net/11413/8213This study focuses on the analysis of Ramsey dynamical model with current Hamiltonian defining an optimal control problem in a neoclassical growth model by utilizing Lie group theory. Lie point symmetries of coupled nonlinear first-order ordinary differential equations corresponding to first-order conditions of maximum principle are analyzed and then first integrals and corresponding closed-form (analytical) solutions are determined by using Lie point symmetries in conjunction with Prelle-Singer and Jacobi last multiplier methods. Additionally, associated lambda-symmetries, adjoint symmetries, Darboux polynomials, and the properties of the model are represented.eninfo:eu-repo/semantics/openAccessRamsey Dynamical ModelEconomic Growth ModelsLie Point SymmetriesPrelle-singer ApproachJacobi Last MultiplierHamiltonian DynamicsClosed-form SolutionsArticle0006622187000052-s2.0-85107873369