Forthcoming and Online First Articles

International Journal of Dynamical Systems and Differential Equations

International Journal of Dynamical Systems and Differential Equations (IJDSDE)

Forthcoming articles have been peer-reviewed and accepted for publication but are pending final changes, are not yet published and may not appear here in their final order of publication until they are assigned to issues. Therefore, the content conforms to our standards but the presentation (e.g. typesetting and proof-reading) is not necessarily up to the Inderscience standard. Additionally, titles, authors, abstracts and keywords may change before publication. Articles will not be published until the final proofs are validated by their authors.

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International Journal of Dynamical Systems and Differential Equations (1 paper in press)

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  • Third-Order Bifurcation of Limit Cycles for a Perturbed Quartic Isochronous Center   Order a copy of this article
    by Bo Huang, Linping Peng 
    Abstract: In this article, we study how many limit cycles can bifurcate from the periodic orbits of a quartic uniform isochronous centre when it is perturbed inside a class of quartic polynomial differential systems. Using the first and second order averaging method, we provide the maximum number of limit cycles, 3 and 5 respectively, that can bifurcate from the periodic orbits around the centre. Using the third order averaging method, we show that at least five limit cycles can bifurcate from the periodic orbits around the centre. Our main theorem has improved and generalised some known results in published papers.
    Keywords: averaging method; limit cycles; period annulus; polynomial perturbation; quartic centre.
    DOI: 10.1504/IJDSDE.2023.10056612
     

 

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