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Optimal nonlinear dynamics modeling method for big data based on fractional calculus and simulated annealing

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Abstract

No nonlinear dynamics modeling method for big data has been proposed, and no nonlinear dynamics modeling method based on fractional calculus and simulated annealing has been proposed until now. This paper provided the optimal nonlinear dynamics modeling method for big data based on fractional calculus and simulated annealing, which can find the optimal nonlinear dynamics model for big data based on fractional-order calculus. This paper also provided another alternative method that the nonlinear dynamics modeling method for big data is based on integer-order calculus. This paper took price, supply–demand ratio and selling rate big data as an application to illustrate the proposed methods. And this paper compared the optimal nonlinear dynamics modeling method for big data based on fractional calculus and simulated annealing with the alternative method based on integer-order calculus, and concluded that the nonlinear dynamics model found by the method based on fractional calculus and simulated annealing is closer to the real system than the nonlinear dynamics model found by the method based on integer-order calculus.

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Acknowledgments

This research was supported by University-industry Collaborative Innovation Transfer and Transformation Project of Guangdong Province under Grant No. 2014B090901064 and Major Project of National Social Science Fund under Grant No. 14ZDB101, National Natural Science Foundation of China under Grant No. 61105133.

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  1. School of Computer Science, South China Normal University, Guangzhou, China

    Dingju Zhu

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  1. Dingju Zhu
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Correspondence to Dingju Zhu.

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Zhu, D. Optimal nonlinear dynamics modeling method for big data based on fractional calculus and simulated annealing. Nonlinear Dyn 84, 311–322 (2016). https://doi.org/10.1007/s11071-015-2511-5

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  • DOI: https://doi.org/10.1007/s11071-015-2511-5

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