Kukles revisited: Advances in computing techniques

Authors:
Jane M. Pearson;Noel G. Lloyd
Affiliations:
-;-
Venue:
Computers & Mathematics with Applications
Year:
2010

Citing 8
Cited 0

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Abstract

We revisit the Kukles system to show how advances in computer hardware and software have improved symbolic calculations. We confirm directly that there are no non-persistent centres for the Kukles system. We also prove an earlier conjecture regarding the isochronous centres for the extended Kukles system. We introduce a technique whereby modular resultants can be used to investigate the properties of resultants that cannot be readily calculated using the existing software.