CONNECTING SYMMETRIC AND ASYMMETRIC FAMILIES OF PERIODIC ORBITS IN SQUARED SYMMETRIC HAMILTONIANS
2012 ◽
Vol 23
(02)
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pp. 1250014
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Keyword(s):
In this work, we study a generic squared symmetric Hamiltonian of two degrees of freedom. Our aim is to show a global methodology to analyze the evolution of the families of periodic orbits and their bifurcations. To achieve it, we use several numerical techniques such as a systematic grid search algorithm in sequential and parallel, a fast chaos indicator and a tool for the continuation of periodic orbits. Using them, we are able to study the special and generic bifurcations of multiplicity one that allow us to understand the dynamics of the system and we show in detail the evolution of some symmetric breaking periodic orbits.
1983 ◽
Vol 74
◽
pp. 271-274
2017 ◽
Vol 119
(1)
◽
pp. 307-319
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Keyword(s):
2013 ◽
Vol 73
(1)
◽
pp. 59-72
◽
2007 ◽
Vol 52
(8)
◽
pp. 650-658
◽
Keyword(s):
2013 ◽
Vol 12
(15)
◽
pp. 3128-3133
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Keyword(s):
Keyword(s):