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The Proposed Modified Liu System with Fractional Order

Author

Listed:
  • Alireza K. Golmankhaneh
  • Roohiyeh Arefi
  • Dumitru Baleanu

Abstract

The chaos in a new system with order 3 is studied. We have shown that this chaotic system again will be chaotic when the order of system is less than 3. Generalized Adams‐Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.

Suggested Citation

  • Alireza K. Golmankhaneh & Roohiyeh Arefi & Dumitru Baleanu, 2013. "The Proposed Modified Liu System with Fractional Order," Advances in Mathematical Physics, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlamp:v:2013:y:2013:i:1:n:186037
    DOI: 10.1155/2013/186037
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    References listed on IDEAS

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    1. Sheu, Long-Jye & Chen, Hsien-Keng & Chen, Juhn-Horng & Tam, Lap-Mou & Chen, Wen-Chin & Lin, Kuang-Tai & Kang, Yuan, 2008. "Chaos in the Newton–Leipnik system with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 36(1), pages 98-103.
    2. Li, Chunguang & Chen, Guanrong, 2004. "Chaos and hyperchaos in the fractional-order Rössler equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 341(C), pages 55-61.
    3. Stachowiak, Tomasz & Okada, Toshio, 2006. "A numerical analysis of chaos in the double pendulum," Chaos, Solitons & Fractals, Elsevier, vol. 29(2), pages 417-422.
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