Title of article
Continuation of periodic orbits in conservative and Hamiltonian systems
Author/Authors
Muٌoz-Almaraz، نويسنده , , F.J. and Freire، نويسنده , , E. and Galلn، نويسنده , , J. and Doedel، نويسنده , , E. and Vanderbauwhede، نويسنده , , A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
38
From page
1
To page
38
Abstract
We introduce and justify a computational scheme for the continuation of periodic orbits in systems with one or more first integrals, and in particular in Hamiltonian systems having several independent symmetries. Our method is based on a generalization of the concept of a normal periodic orbit as introduced by Sepulchre and MacKay [Nonlinearity 10 (1997) 679]. We illustrate the continuation method on some integrable Hamiltonian systems with two degrees of freedom and briefly discuss some further applications.
Keywords
Hamiltonian and conservative systems , Continuation of periodic orbits
Journal title
Physica D Nonlinear Phenomena
Serial Year
2003
Journal title
Physica D Nonlinear Phenomena
Record number
1725047
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