Hamiltonian systems in a neighborhood of a saddle point
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- by Viorel Barbu PDF
- Trans. Amer. Math. Soc. 245 (1978), 291-307 Request permission
Abstract:
The behavior of Hamiltonian differential systems associated with a concave convex function H in a Hilbert space is studied by variational methods. It is shown that under quite general conditions on the function H the system behaves in a neighborhood of a minimax saddle point of H much like as in the classical theory of ordinary differential systems. The results extend previous work of R. T. Rockafellar.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 245 (1978), 291-307
- MSC: Primary 49A40; Secondary 34G99, 47H15
- DOI: https://doi.org/10.1090/S0002-9947-1978-0511411-0
- MathSciNet review: 511411