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The unified colored noise approximation of multidimensional stochastic dynamic system

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  • Duan, Wei-Long
  • Fang, Hui

Abstract

The unified colored noise approximation of multidimensional stochastic dynamic system driven by correlated Gaussian colored noises is developed. For general multidimensional stochastic dynamic system driven by Gaussian colored noises, which maybe correlate with each other and have small or large correlation times, it is transformed into multidimensional stochastic dynamic system driven by white noises. By merging method of white noises, the multiple diffusion terms of each equation of system is merged into one diffusion term, then the unified colored noise approximation for multidimensional stochastic dynamic system is established. In order to facilitate application, the specific derivation formulas of the unified colored noise approximation for common one-dimensional, two-dimensional, and three-dimensional stochastic dynamic systems are also given respectively, among, one also proves that it includes the unified colored noise approximation for one-dimensional stochastic dynamic system previously created.

Suggested Citation

  • Duan, Wei-Long & Fang, Hui, 2020. "The unified colored noise approximation of multidimensional stochastic dynamic system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 555(C).
    • Handle: RePEc:eee:phsmap:v:555:y:2020:i:c:s0378437120303046
    DOI: 10.1016/j.physa.2020.124624
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    References listed on IDEAS

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    1. Duan, Wei-Long & Fang, Hui & Zeng, Chunhua, 2019. "The stability analysis of tumor-immune responses to chemotherapy system with gaussian white noises," Chaos, Solitons & Fractals, Elsevier, vol. 127(C), pages 96-102.
    2. Zhang, Li & Cao, Li & Wu, Da-jin, 2004. "The research of single-mode laser driven by multiplicative colored noise with cross-correlation between the real and imaginary parts of the quantum noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 332(C), pages 207-218.
    3. Zhou, Bingchang & Xu, Wei, 2008. "Stochastic resonance in an asymmetric bistable system driven by multiplicative colored noise and additive white noise," Chaos, Solitons & Fractals, Elsevier, vol. 38(4), pages 1146-1151.
    4. Dong, Xiaohui & Zeng, Chunhua & Yang, Fengzao & Guan, Lin & Xie, Qingshuang & Duan, Weilong, 2018. "Non-Gaussian noise-weakened stability in a foraging colony system with time delay," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 492(C), pages 851-870.
    5. Fuentes, M.A. & Wio, Horacio S. & Toral, Raúl, 2002. "Effective Markovian approximation for non-Gaussian noises: a path integral approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 303(1), pages 91-104.
    6. Shi, Peiming & Xia, Haifeng & Han, Dongying & Fu, Rongrong & Yuan, Danzhen, 2018. "Stochastic resonance in a time polo-delayed asymmetry bistable system driven by multiplicative white noise and additive color noise," Chaos, Solitons & Fractals, Elsevier, vol. 108(C), pages 8-14.
    7. Duan, Wei-Long & Fang, Hui & Zeng, Chunhua, 2019. "Second-order algorithm for simulating stochastic differential equations with white noises," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 491-497.
    8. Dong, Xiaohui & Wang, Ming & Zhong, Guang-Yan & Yang, Fengzao & Duan, Weilong & Li, Jiang-Cheng & Xiong, Kezhao & Zeng, Chunhua, 2018. "Stochastic delayed kinetics of foraging colony system under non-Gaussian noise," Chaos, Solitons & Fractals, Elsevier, vol. 112(C), pages 1-13.
    9. Gudyma, Yu.V., 2004. "Nonequilibrium first-order phase transition in semiconductor system driven by colored noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(1), pages 61-68.
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    Cited by:

    1. Zheng, Chengli & Su, Kuangxi & Yao, Yinhong, 2021. "Hedging futures performance with denoising and noise-assisted strategies," The North American Journal of Economics and Finance, Elsevier, vol. 58(C).
    2. Duan, Wei-Long, 2020. "The stability analysis of tumor-immune responses to chemotherapy system driven by Gaussian colored noises," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    3. Duan, Wei-Long & Lin, Ling, 2021. "Noise and delay enhanced stability in tumor-immune responses to chemotherapy system," Chaos, Solitons & Fractals, Elsevier, vol. 148(C).

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