The saddle point property in Hamiltonian systems

DOI10.1016/0022-247X(90)90037-GzbMath0701.49030OpenAlexW2074146968MaRDI QIDQ914145

Gerhard Sorger

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(90)90037-g

zbMATH Keywords

conditional stabilityHamiltonian functionconvex-concave structureoptimal economic growth theoryPontrjagin's maximum principle

Mathematics Subject Classification ID

Economic growth models (91B62) Optimality conditions for problems involving ordinary differential equations (49K15)

Related Items (4)

Stability of international pollution control games: a potential game approach ⋮ Stabilization of capital accumulation games ⋮ On the local stability of the solution to optimal control problems ⋮ Local stability of stationary states in discounted optimal control systems

Cites Work

• A Schur decomposition for Hamiltonian matrices
• Introduction to Hamiltonian dynamics in economics
• On the optimality and stability of competitive paths in continuous time growth models
• Saddle points of Hamiltonian systems in convex problems of Lagrange

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