| Publication type: | Article in scientific journal |
| Type of review: | Peer review (publication) |
| Title: | Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions |
| Authors: | Henrici, Andreas |
| DOI: | 10.3934/dcds.2015.35.2949 |
| Published in: | Discrete and Continuous Dynamical Systems, Series A |
| Volume(Issue): | 35 |
| Issue: | 7 |
| Page(s): | 2949 |
| Pages to: | 2977 |
| Issue Date: | 2015 |
| Publisher / Ed. Institution: | American Institute of Mathematical Sciences |
| ISSN: | 1078-0947 |
| Language: | English |
| Subject (DDC): | 510: Mathematics |
| Abstract: | Symmetries of the periodic Toda lattice are expresssed in action-angle coordinates and characterized in terms of the periodic and Dirichlet spectrum of the associated Jacobi matrices. Using these symmetries, the phase space of the lattice with Dirichlet boundary conditions is embedded into the phase space of a higher-dimensional periodic lattice. As an application, we obtain a Birkhoff normal form and a KAM theorem for the lattice with Dirichlet boundary conditions. |
| URI: | https://digitalcollection.zhaw.ch/handle/11475/15838 |
| Fulltext version: | Published version |
| License (according to publishing contract): | Licence according to publishing contract |
| Departement: | School of Engineering |
| Organisational Unit: | Institute of Applied Mathematics and Physics (IAMP) |
| Appears in collections: | Publikationen School of Engineering |
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Henrici, A. (2015). Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions. Discrete and Continuous Dynamical Systems, Series A, 35(7), 2949–2977. https://doi.org/10.3934/dcds.2015.35.2949
Henrici, A. (2015) ‘Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions’, Discrete and Continuous Dynamical Systems, Series A, 35(7), pp. 2949–2977. Available at: https://doi.org/10.3934/dcds.2015.35.2949.
A. Henrici, “Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions,” Discrete and Continuous Dynamical Systems, Series A, vol. 35, no. 7, pp. 2949–2977, 2015, doi: 10.3934/dcds.2015.35.2949.
HENRICI, Andreas, 2015. Symmetries of the periodic Toda lattice, with an application to normal forms and perturbations of the lattice with Dirichlet boundary conditions. Discrete and Continuous Dynamical Systems, Series A. 2015. Bd. 35, Nr. 7, S. 2949–2977. DOI 10.3934/dcds.2015.35.2949
Henrici, Andreas. 2015. “Symmetries of the Periodic Toda Lattice, with an Application to Normal Forms and Perturbations of the Lattice with Dirichlet Boundary Conditions.” Discrete and Continuous Dynamical Systems, Series A 35 (7): 2949–77. https://doi.org/10.3934/dcds.2015.35.2949.
Henrici, Andreas. “Symmetries of the Periodic Toda Lattice, with an Application to Normal Forms and Perturbations of the Lattice with Dirichlet Boundary Conditions.” Discrete and Continuous Dynamical Systems, Series A, vol. 35, no. 7, 2015, pp. 2949–77, https://doi.org/10.3934/dcds.2015.35.2949.
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