Abstract
In this paper, we present a new method to determining the isochronicity of a reversible cubic system based on the recursion formulas and mathematical induction. Unlike the method, which proves the isochronicity of the same system with the integrability, our new method gives the recursion formulas among the period coefficients firstly. Then, based on these recursion formulas and using mathematical induction, the isochronicity is proved. © 2011 Springer-Verlag.
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CITATION STYLE
Liao, Z., Hu, S., & Hou, X. (2011). Recursion formulas in determining isochronicity of a cubic reversible system. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 6785 LNCS, pp. 619–632). https://doi.org/10.1007/978-3-642-21898-9_51
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