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Non-standard finite difference schemes for solving fractional-order Rössler chaotic and hyperchaotic systems
Moaddy K., Hashim I.,
Published in
2011
Volume: 62
   
Issue: 3
Pages: 1068 - 1074
Abstract
In this paper, the non-standard finite difference method (for short NSFD) is implemented to study the dynamic behaviors in the fractional-order Rössler chaotic and hyperchaotic systems. The GrnwaldLetnikov method is used to approximate the fractional derivatives. We found that the lowest value to have chaos in this system is 2.1 and hyperchaos exists in the fractional-order Rössler system of order as low as 3.8. Numerical results show that the NSFD approach is easy to implement and accurate when applied to differential equations of fractional order. © 2011 Elsevier Ltd. All rights reserved.
About the journal
JournalComputers and Mathematics with Applications
ISSN08981221
Open AccessNo