CHAOTIC BEHAVIOR IN A NEW FRACTIONAL-ORDER LOVE TRIANGLE SYSTEM WITH COMPETITION

Wenjun Liu; Kewang Chen

doi:10.11948/2015009

2015 Volume 5 Issue 1

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Wenjun Liu, Kewang Chen. CHAOTIC BEHAVIOR IN A NEW FRACTIONAL-ORDER LOVE TRIANGLE SYSTEM WITH COMPETITION[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 103-113. doi: 10.11948/2015009

Citation:

Wenjun Liu, Kewang Chen. CHAOTIC BEHAVIOR IN A NEW FRACTIONAL-ORDER LOVE TRIANGLE SYSTEM WITH COMPETITION[J]. Journal of Applied Analysis & Computation, 2015, 5(1): 103-113. doi: 10.11948/2015009

CHAOTIC BEHAVIOR IN A NEW FRACTIONAL-ORDER LOVE TRIANGLE SYSTEM WITH COMPETITION

College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China

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Abstract

Abstract

In the present work, we first modify the Sprott's nonlinear love triangle model by introducing the competition term and find that the new system also exhibits chaotic behavior. Then, to make the model more realistic, we go further to construct its corresponding fractional-order system and get the necessary condition for the existence of chaotic attractors. Finally, based on an improved version of Adams Bashforth Moulton numerical algorithm, we validate the chaotic attractors of this new fractional-order love triangle system by computer simulations.
- Love triangle model /
- differential equations /
- competition /
- fractionalorder /
- chaotic attractors /
- stimulation
MSC: 91D10;93A30;34A08;74H65

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