Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay
In this paper, a delayed fractional order financial system is proposed and the complex dynamical behaviors of such a system are discussed by numerical simulations. A great variety of interesting dynamical behaviors of such a system including single-periodic, multiple-periodic, and chaotic motions ar...
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| Veröffentlicht in: | Computers & mathematics with applications (1987) 2011-08, Vol.62 (3), p.1531-1539 |
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| container_title | Computers & mathematics with applications (1987) |
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| creator | Wang, Zhen Huang, Xia Shi, Guodong |
| description | In this paper, a delayed fractional order financial system is proposed and the complex dynamical behaviors of such a system are discussed by numerical simulations. A great variety of interesting dynamical behaviors of such a system including single-periodic, multiple-periodic, and chaotic motions are displayed. In particular, the effect of time delay on the chaotic behavior is investigated, it is found that an approximate time delay can enhance or suppress the emergence of chaos. Meanwhile, corresponding to different values of delay, the lowest orders for chaos to exist in the delayed fractional order financial systems are determined, respectively. |
| doi_str_mv | 10.1016/j.camwa.2011.04.057 |
| format | Article |
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| ispartof | Computers & mathematics with applications (1987), 2011-08, Vol.62 (3), p.1531-1539 |
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| language | eng |
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| source | Elsevier ScienceDirect Journals Complete; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | Approximation Chaos Chaos theory Computer simulation Delay Dynamical systems Fractional order financial system Mathematical models Nonlinear dynamics Time delay |
| title | Analysis of nonlinear dynamics and chaos in a fractional order financial system with time delay |
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