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The Effects of Continuously Varying the Fractional Differential Order of Chaotic Nonlinear Systems

✍ Scribed by Stuart Nimmo; Allan K. Evans

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
272 KB
Volume
10
Category
Article
ISSN
0960-0779

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✦ Synopsis

We consider nonlinear third order di}erential equations which are known to exhibit chaotic behaviour\ and amend their order using fractional calculus techniques[ By doing this we demonstrate that by continuously increasing the order of di}erentiation for those systems from 1 to 2\ a period doubling route to chaos ensues[ This period doubling begins at a system speci_c order value between 1 and 2[ Þ 0888 Elsevier Science Ltd[ All rights reserved[

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