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The study on stationary solution of a stochastically complex dynamical system

Author

Listed:
  • Li, Wei
  • Xu, Wei
  • Zhao, Junfeng
  • Wu, Haibo

Abstract

The main topic of this paper is the study of the stationary solution of a stochastically complex dynamical system. The stochastic averaging method of quasi-Hamiltonian system, an important tool for the analysis of dynamical properties of stochastically real dynamical system, is used at the first time to investigate a complex dynamical system. The theoretic formulas of the stationary solution associated with system energy and its analytic characters are given. Moreover, the numerical results about them are also provided in illustrative figures.

Suggested Citation

  • Li, Wei & Xu, Wei & Zhao, Junfeng & Wu, Haibo, 2007. "The study on stationary solution of a stochastically complex dynamical system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 385(2), pages 465-472.
    • Handle: RePEc:eee:phsmap:v:385:y:2007:i:2:p:465-472
    DOI: 10.1016/j.physa.2007.06.027
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    References listed on IDEAS

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    1. Xu, Yong & Xu, Wei & Mahmoud, Gamal M, 2004. "On a complex beam–beam interaction model with random forcing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 336(3), pages 347-360.
    2. Xu, Yong & Xu, Wei & Mahmoud, Gamal M. & Lei, Youming, 2005. "Beam–beam interaction models under narrow-band random excitation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 346(3), pages 372-386.
    3. Mahmoud, Gamal M. & Aly, Shaban A.H., 2000. "On periodic solutions of parametrically excited complex non-linear dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 278(3), pages 390-404.
    4. Mahmoud, Gamal M., 1998. "Approximate solutions of a class of complex nonlinear dynamical systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 253(1), pages 211-222.
    5. M. Mahmoud, Gamal & A. Mohamed, Ahmed & A. Aly, Shaban, 2001. "Strange attractors and chaos control in periodically forced complex Duffing's oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 193-206.
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    Cited by:

    1. Li, Wei & Li, Jiaorui & Chen, Weisheng, 2012. "The reliability of a stochastically complex dynamical system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(13), pages 3556-3565.

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