Topic
Quintic function
About: Quintic function is a research topic. Over the lifetime, 1677 publications have been published within this topic receiving 26780 citations.
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TL;DR: The matrix of the Frobenius map on the middle dimensional cohomology of the one parameter family that is related by mirror symmetry to the family of all quintic threefolds was calculated in this paper.
Abstract: We calculate the matrix of the Frobenius map on the middle dimensional cohomology of the one parameter family that is related by mirror symmetry to the family of all quintic threefolds.
8 citations
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TL;DR: It is proved that the centrally symmetric quintic near-Hamiltonian system can have ten limit cycles by using a homoclinic bifurcation method based on stability-change.
Abstract: In this paper we deal with a centrally symmetric quintic near-Hamiltonian system whose unperturbed system is a simple cubic Hamiltonian system having a nilpotent center. We prove that the system can have ten limit cycles by using a homoclinic bifurcation method based on stability-change.
8 citations
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TL;DR: A fourth-order method based on quintic splines for the solution of third-order linear and non-linear boundary-value problems of the form y^{\ prime\prime\prime} = f(x,y) , a\le x b subject to the boundary conditions.
Abstract: We present a fourth-order method based on quintic splines for the solution of third-order linear and non-linear boundary-value problems of the form y^{\prime\prime\prime} = f(x,y) , a\le x \le b subject to the boundary conditions y(a) = k_1 , y^{\prime}(a) = k_2 , y(b) = k_3 . Numerical examples are given to illustrate the method and their convergence.
8 citations
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8 citations
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TL;DR: In this article, the authors obtained analytical spatiotemporal self-similar solutions of the nonautonomous (3+1)-dimensional cubic-quintic Gross-Pitaevskii equation with time-dependent diffraction, nonlinearity, harmonic potential and gain or loss when two constraints are satisfied.
Abstract: With the help of similarity transformation, we obtain analytical spatiotemporal self-similar solutions of the nonautonomous (3+1)-dimensional cubic-quintic Gross-Pitaevskii equation with time-dependent diffraction, nonlinearity, harmonic potential and gain or loss when two constraints are satisfied. These constraints between the system parameters hint that self-similar solutions form and transmit stably without the distortion of shape based on the exact balance between the diffraction, nonlinearity and the gain/loss. Based on these analytical results, we investigate the dynamic behaviours in a periodic distributed amplification system.
8 citations