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Stochastic bifurcation in a model of love with colored noise

Author

Listed:
  • Xiaokui Yue

    (School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China)

  • Honghua Dai

    (School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China)

  • Jianping Yuan

    (School of Astronautics, Northwestern Polytechnical University, Xi'an 710072, P. R. China)

Abstract

In this paper, we wish to examine the stochastic bifurcation induced by multiplicative Gaussian colored noise in a dynamical model of love where the random factor is used to describe the complexity and unpredictability of psychological systems. First, the dynamics in deterministic love-triangle model are considered briefly including equilibrium points and their stability, chaotic behaviors and chaotic attractors. Then, the influences of Gaussian colored noise with different parameters are explored such as the phase plots, top Lyapunov exponents, stationary probability density function (PDF) and stochastic bifurcation. The stochastic P-bifurcation through a qualitative change of the stationary PDF will be observed and bifurcation diagram on parameter plane of correlation time and noise intensity is presented to find the bifurcation behaviors in detail. Finally, the top Lyapunov exponent is computed to determine the D-bifurcation when the noise intensity achieves to a critical value. By comparison, we find there is no connection between two kinds of stochastic bifurcation.

Suggested Citation

  • Xiaokui Yue & Honghua Dai & Jianping Yuan, 2015. "Stochastic bifurcation in a model of love with colored noise," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 26(02), pages 1-11.
    • Handle: RePEc:wsi:ijmpcx:v:26:y:2015:i:02:n:s0129183115500217
    DOI: 10.1142/S0129183115500217
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