Continuation of periodic orbits in conservative and Hamiltonian systems
By F. Muñoz-Almaraz, Emilio Freire, J. Galán, Eusebius J. Doedel, A. Vanderbauwhede. 2003
148 citations recorded by the source corpus.
Subfields: Geometry and Topology, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/ff2fbbd9e659a1964dfb142b835c0007103cb456
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In Geometry and Topology
In Statistical and Nonlinear Physics
Citations in the corpus
- A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities (2008, background): “[13] showed that, in conservative Hamiltonian systems, periodic orbits generally belong to a one-dimensional family of periodic solutions, parametrised by the value of the first integral (here, the total energy), which is not an explicit parameter of the system.”
- Nonlinear normal modes, Part II: Toward a practical computation using numerical continuation techniques (2009, methodology): “It is utilized in [17] to follow the NNM branches in conjunction with finite difference methods, following a framework similar to that of [12].”