scispace - formally typeset
Search or ask a question
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
More filters
Posted Content
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

Journal ArticleDOI
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

Journal ArticleDOI
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

Journal ArticleDOI
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


Network Information
Related Topics (5)
Differential equation
88K papers, 2M citations
88% related
Eigenvalues and eigenvectors
51.7K papers, 1.1M citations
87% related
Boundary value problem
145.3K papers, 2.7M citations
86% related
Partial differential equation
70.8K papers, 1.6M citations
85% related
Bounded function
77.2K papers, 1.3M citations
85% related
Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202397
2022254
2021109
2020104
201993
201893