An energy-momentum map for the time-reversal symmetric 1:1 resonance with Z(2) x Z(2) symmetry

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21340%2F14%3A00219319" target="_blank" >RIV/68407700:21340/14:00219319 - isvavai.cz</a>
Result on the web
<a href="http://www.sciencedirect.com/science/article/pii/S0167278913003448#" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0167278913003448#</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.physd.2013.12.009" target="_blank" >10.1016/j.physd.2013.12.009</a>

Result language
angličtina
Original language name
An energy-momentum map for the time-reversal symmetric 1:1 resonance with Z(2) x Z(2) symmetry
Original language description
We present a general analysis of the bifurcation sequences of periodic orbits in general position of a family of reversible 1:1 resonant Hamiltonian normal forms invariant under Z(2) x Z(2) symmetry. The rich structure of these classical systems is investigated both with a singularity theory approach and geometric methods. The geometric approach readily allows to find an energy-momentum map describing the phase space structure of each member of the family and a catastrophe map that captures its global features. Quadrature formulas for the actions, periods and rotation number are also provided.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BE - Theoretical physics
OECD FORD branch
—

Project
<a href="/en/project/EE2.3.30.0034" target="_blank" >EE2.3.30.0034: Support of inter-sectoral mobility and quality enhancement of research teams at Czech Technical University in Prague</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)