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Periodic orbits and symmetries in symplectic maps

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No logo availableBanff International Research Station (BIRS) for Mathematical Innovation and Discovery
 Martínez-del-Río, David

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Periodic orbits and symmetries in symplectic maps
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Periodic orbits in symplectic maps without the use of symmetries
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22
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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Abstract
A new compound method to compute periodic orbits in symplectic maps without the use of symmetries is presented. The results corroborate classical results from renormalization theory in examples not considered in the literature. Moreover the findings suggest a natural procedure to compute critical self-similar geometrical coefficients for these new cases.
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