Abstract
From the Greeks’ epicycles (which, as we have already remembered, in the last century were reincarnated in terms of Fourier series) to the present studies on the periodic solutions of dynamical systems, the attention to closed orbits (for a topologist always equivalent to circles) has been continuous. Owing to the complexity that the treatment of the subject has now reached, cannot this chapter provide a complete, even if concise, picture of it. Therefore, we shall content ourselves with touching on those parts, obviously adhering to our plan, which can be approached by means of the analytical tools used so far.
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References
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Boccaletti, D., Pucacco, G. (1999). Periodic Orbits and Resonances. In: Theory of Orbits. Astronomy and Astrophysics Library. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-09240-8_5
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DOI: https://doi.org/10.1007/978-3-662-09240-8_5
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