Results 21 to 30 of about 12,485 (261)

Complete polynomial vector fields in simplexes with application to evolutionary dynamics

Electronic Journal of Qualitative Theory of Differential Equations, 2004
We describe the complete polynomial vector fields and their fixed points in a finite-dimensional simplex and we apply the results to differential equations of genetical evolution models.
N. M. Ben Yousif
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A new approach to integrals of discretizations by polarization [PDF]

Open Communications in Nonlinear Mathematical Physics
Recently, a family of unconventional integrators for ODEs with polynomial vector fields was proposed, based on the polarization of vector fields. The simplest instance is the by now famous Kahan discretization for quadratic vector fields.
Yuri B. Suris
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On Polynomial Hamiltonian Planar Vector Fields

Journal of Differential Equations, 1993
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cima, A., Gasull, A., Manosas, F.
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Polynomial representations of classical Lie algebras and flag varieties

Physics Letters B, 2022
Recently we have started a program to describe the action of Lie algebras associated with Dynkin-type diagrams on generic Verma modules in terms of polynomial vector fields.
A. Morozov, M. Reva, N. Tselousov, Y. Zenkevich   +3 more
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Dynamical Analysis and Periodic Solution of a Chaotic System with Coexisting Attractors

Complexity, 2021
Chaotic attractors with no equilibria, with an unstable node, and with stable node-focus are presented in this paper. The conservative solutions are investigated by the semianalytical and seminumerical method.
Mingshu Chen, Zhen Wang, Xiaojuan Zhang, Huaigu Tian   +3 more
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On a certain functional equation in the algebra of polynomials with complex coefficients

Abstract and Applied Analysis, 2006
Many analytical problems can be reduced to determining the number of roots of a polynomial in a given disc. In turn, the latter problem admits further reduction to the generalized Rauss-Hurwitz problem of determining the number of roots of a polynomial ...
E. Muhamadiev
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Correction to Generic polynomial vector fields are not integrable

Indagationes Mathematicae, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maciejewski, Andrzej J., Ollagnier, Jean Moulin, Nowicki, Andrzej   +2 more
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Periodic orbits for real planar polynomial vector fields of degree $n$ having $n$ invariant straight lines taking into account their multiplicities

Electronic Journal of Qualitative Theory of Differential Equations, 2015
We study the existence and non--existence of periodic orbits and limit cycles for planar polynomial differential systems of degree $n$ having $n$ real invariant straight lines taking into account their multiplicities.
Jaume Llibre, Ana Rodrigues
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Stability analysis of a hybrid DC-DC buck converter model using dissipation inequality and convex optimization

Journal of Mechatronics, Electrical Power, and Vehicular Technology, 2023
The stability analysis of a DC-DC buck converter is a challenging problem due to the hybrid systems characteristic of its dynamics. Such a challenge arises from the buck converter operation which depends upon the ON/OFF logical transitions of its ...
Tua A. Tamba, Jonathan Chandra, Bin Hu
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Symbolic Computations of First Integrals for Polynomial Vector Fields [PDF]

Foundations of Computational Mathematics, 2019
In this article we show how to generalize to the Darbouxian, Liouvillian and Riccati case the extactic curve introduced by J. Pereira. With this approach, we get new algorithms for computing, if it exists, a rational, Darbouxian, Liouvillian or Riccati first integral with bounded degree of a polynomial planar vector field.
Chèze, Guillaume, Combot, Thierry
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