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First integrals in a cubic differential system with one invariant straight line and one invariant cubic

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
In this paper we find conditions for a singular point O(0, 0) of a center or a focus type to be a center, in a cubic differential system with one invariant straight line and one invariant cubic.
Dumitru Cozma
doaj   +2 more sources

An Algorithm for Higher Order Hopf Normal Forms [PDF]

open access: yesShock and Vibration, 1995
Normal form theory is important for studying the qualitative behavior of nonlinear oscillators. In some cases, higher order normal forms are required to understand the dynamic behavior near an equilibrium or a periodic orbit.
A.Y.T. Leung, T. Ge
doaj   +4 more sources

Center conditions for a cubic system with two homogeneous invariant straight lines and exponential factors

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
In this paper for a cubic differential system with a singular point
Dumitru Cozma
doaj   +1 more source

Centers of cubic differential systems with the line at infinity of maximal multiplicity

open access: yesActa et Commentationes: Ştiinţe Exacte şi ale Naturii, 2023
We classify all cubic differential systems with a center-focus critical point and the line at infinity of maximal multiplicity. It is proved that the critical point is of the center type if and only if the divergence of the vector field associated to ...
Alexandru Șubă
doaj   +1 more source

Numerical approximation of 1D and 2D non-linear Schrödinger equations by implementing modified cubic Hyperbolic B-spline based DQM

open access: yesPartial Differential Equations in Applied Mathematics, 2021
In present study, Modified Cubic Hyperbolic B-spline Differential Quadrature Method is constructed for getting the numerical approximations of 1D and 2D non-linear Schrödinger equations. Modified cubic Hyperbolic B-spline is implemented as basis function
Mamta Kapoor, Varun Joshi
doaj   +1 more source

Embedded solitons, chaotic behavior, bifurcation of cubic-quartic χ(2) and χ(3) nonlinear susceptibilities with multiplicative white noise

open access: yesResults in Physics, 2023
The main objective of this paper is to study the chaotic behavior and embedded soliton of cubic-quartic χ(2) and χ(3) nonlinear susceptibilities with multiplicative white noise.
Zhao Li, Xue Zhang, Fang Miao
doaj   +1 more source

A Composite Algorithm for Numerical Solutions of Two-Dimensional Coupled Burgers’ Equations

open access: yesJournal of Mathematics, 2021
In this study, a new composite algorithm with the help of the finite difference and the modified cubic trigonometric B-spline differential quadrature method is developed.
Vikas Kumar   +2 more
doaj   +1 more source

Invariant Linearization Criteria for Systems of Cubically Nonlinear Second-Order Ordinary Differential Equations [PDF]

open access: yesJournal of Nonlinear Mathematical Physics, 2021
Invariant linearization criteria of square systems of second-order quadratically semi-linear ordinary differential equations (ODEs) that can be represented as geodesic equations are extended to square systems of ODEs cubically nonlinear in the first derivatives.
Mahomed, F. M., Qadir, Asghar
openaire   +2 more sources

Cubic-Receiver-Based Indoor Optical Wireless Location System

open access: yesIEEE Photonics Journal, 2016
A cubic-receiver-based indoor optical wireless location system is proposed in this paper. The cubic receiver arranging five photodiodes (PDs) as a cubic structure is used as photodetector to measure the angles of arrival (AOAs) of the incident light from
Ling Wei   +4 more
doaj   +1 more source

Fault Location of VSC Based DC Distribution Network Based on Traveling Wave Differential Current With Hausdorff Distance and Cubic Spline Interpolation

open access: yesIEEE Access, 2021
Compared with AC power system, DC distribution network is a low-damping system without natural zero crossing. The DC fault current will reach its peak value within a few milliseconds, posing a great threat to power electronic devices.
Yanfang Wei   +5 more
doaj   +1 more source

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