A partial Lagrangian method for dynamical systems

DOI10.1007/s11071-016-2605-8zbMath1354.37099OpenAlexW2240002738MaRDI QIDQ333059

Mohammad Hasan, M. Dambrine

Publication date: 9 November 2016

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-2605-8

zbMATH Keywords

first integralscurrent value Hamiltonianeconomic growth modelspartial Noether conditionpartial or discount free Lagrangian

Mathematics Subject Classification ID

Economic growth models (91B62) Dynamical systems in optimization and economics (37N40) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33)

Related Items (10)

On sufficiency issues, first integrals and exact solutions of Uzawa-Lucas model with unskilled labor ⋮ First integrals of Hamiltonian systems: the inverse problem ⋮ On group analysis of optimal control problems in economic growth models ⋮ Symmetry analysis and conservation laws to the space-fractional Prandtl equation ⋮ Generalization of approximate partial Noether approach in phase space ⋮ Analytical approaches for growth models in economics ⋮ Closed-form solutions for the Lucas-Uzawa growth model with logarithmic utility preferences via the partial Hamiltonian approach ⋮ Characterization of partial Hamiltonian operators and related first integrals ⋮ The approximate Noether symmetries and approximate first integrals for the approximate Hamiltonian systems ⋮ The Group-Theoretical Analysis of Nonlinear Optimal Control Problems with Hamiltonian Formalism

Cites Work

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• A partial Hamiltonian approach for current value Hamiltonian systems
• Comparison of different approaches to conservation laws for some partial differential equations in fluid mechanics
• Noether-type symmetries and conservation laws via partial Lagrangians
• Public Finance in Models of Economic Growth
• Partial Noether operators and first integrals via partial Lagrangians
• Approximate first integrals of weakly nonlinear, damped-driven oscillators with one degree of freedom

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