• on stationary probability density and maximal lyapunov exponent of a co-dimension two bifurcation system subjected to parametric excitation by real noise

    جزئیات بیشتر مقاله
    • تاریخ ارائه: 1392/07/24
    • تاریخ انتشار در تی پی بین: 1392/07/24
    • تعداد بازدید: 666
    • تعداد پرسش و پاسخ ها: 0
    • شماره تماس دبیرخانه رویداد: -
     in this paper, the asymptotic expansions of the maximal lyapunov exponents for a co-dimension two-bifurcation system which is on a three-dimensional center manifold and is excited parametrically by an ergodic real noise are evaluated. the real noise is an integrable function of an n-dimensional ornstein–uhlenbeck process. based on a perturbation method, we examine almost all possible singular boundaries that exist in one-dimensional phase diffusion process. the comparisons between the analytical solutions and the numerical simulations are given. in addition, we also investigate the p-bifurcation behavior for the one-dimensional phase diffusion process. the result in this paper is a further extension of the work by liew and liu.
     

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