Analysis of resonant structures of four-dimensional symplectic mappings, using normal forms

Details Analysis of resonant structures of four-dimensional symplectic mappings, using normal forms Analysis of resonant structures of four-dimensional symplectic mappings, using normal forms

Dec 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrve..50.4298t&link_type=abstract

Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), Volume 50, Issue 6, December 199

Astronomy and Astrophysics

Astronomy

8

Fundamental Astronomy

Scientific paper

The geometry of the resonant orbits of symplectic four-dimensional mappings, in the neighborhood of an elliptic fixed point, is analyzed in the framework of a perturbative approach based on resonant normal forms. The analysis of the truncated interpolating Hamiltonian allows one to determine the classification, the location, and the stability of the integrable resonant structures in phase space.

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