Note about the isochronicity of Hamiltonian systems and the curvature of the energy
Bull. Korean Math. Soc. 2007 Vol. 44, No. 3, 415-418
Printed September 1, 2007
Blas Herrera G'{o}mez
Universitat Rovira i Virgili
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
MSC numbers : 37J05, 37J45
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