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NOTE ABOUT THE ISOCHRONICITY OF HAMILTONIAN SYSTEMS AND THE CURVATURE OF THE ENERGY
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 Title & Authors
NOTE ABOUT THE ISOCHRONICITY OF HAMILTONIAN SYSTEMS AND THE CURVATURE OF THE ENERGY
Gomez, Blas Herrera;
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 Abstract
In this note we show the relationship between the period of a isochronous center of a planar Hamiltonian system and the Gauss curvature of the surface S = (x, y, H(x, y)) where H is the energy function of the system.
 Keywords
Hamiltonian systems;Gauss curvature;isochronous center;
 Language
English
 Cited by
 References
1.
A. Cima, F. Manosas, and J. Villadelprat, Isochronicity for Several Classes of Hamilton- ian Systems, J. Differential Equations 157 (1999), no. 2, 373-413 crossref(new window)

2.
H. Ito, Convergence of Birkhoff Normal Forms for Integrable Systems, Comment. Math. Helv. 64 (1989), no. 3, 412-461 crossref(new window)

3.
J. Villadelprat, Index of Vector Fields on Manifolds and Isochronicity for Planar Hamiltonian Differential Systems, Ph. D. Thesis, Pub. Univ. Autonoma de Barcelona, 1999