Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
Papers published on a yearly basis
Papers
More filters
Journal Article•
TL;DR: In this article, the stability and bifurcations of limit cycles of the equator in a quintic polynomial system are discussed, and some results obtained in this paper present an intersting contrast with the related results on cubic systems.
Abstract: In this paper, the stability and bifurcations of limit cycles of the equator in a quintic polynomial system are discussed. Some results obtained in this paper present an intersting contrast with the related results on cubic systems.
9 citations
TL;DR: The proposed five end conditions that allows to simplify the construction of this spline are proposed and the convergence in approximating function values and its derivatives up to five order is proved.
9 citations
9 citations
TL;DR: In this article, the modulational instability of plane waves under competing nonlocal cubic-local quintic nonlinearities is investigated analytically and numerically, and the generic properties of the MI gain spectra are then demonstrated for the Gaussian response function, exponential response function and rectangular response function.
Abstract: We investigate analytically and numerically the modulational instability (MI) of plane waves under competing nonlocal cubic-local quintic nonlinearities. The generic properties of the MI gain spectra are then demonstrated for the Gaussian response function, exponential response function, and rectangular response function. Special attention is paid to competing nonlocal cubic-local quintic nonlinearities on the MI. We observe that the focusing local quintic nonlinearity increases the growth rate and bandwidth of instability contrary to the small values of defocusing local quintic nonlinearity which decrease the growth rate and bandwidth of instability. Numerical simulations of the full model equation describing the dynamics of the waves are been carried out and leads to the development of pulse trains, depending upon the sign the quintic nonlinearity.
9 citations
9 citations