[BOOK][B] Computer algebra methods for equivariant dynamical systems
K Gatermann - 2007 - books.google.com
This book starts with an overview of the research of Gröbner bases which have many
applications in various areas of mathematics since they are a general tool for the …
applications in various areas of mathematics since they are a general tool for the …
[HTML][HTML] An approach to solving systems of polynomials via modular arithmetics with applications
VG Romanovski, M Prešern - Journal of computational and applied …, 2011 - Elsevier
An approach to solving systems of polynomials via modular arithmetics with applications -
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Integrability conditions for Lotka–Volterra planar complex quintic systems
In this paper we obtain necessary and sufficient integrability conditions at the origin for the
Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree …
Lotka–Volterra complex quintic systems which are linear systems perturbed by fifth degree …
Integrability conditions for Lotka-Volterra planar complex quartic systems having homogeneous nonlinearities
In this paper we investigate the integrability problem for the two-dimensional Lotka-Volterra
complex quartic systems which are linear systems perturbed by fourth degree homogeneous …
complex quartic systems which are linear systems perturbed by fourth degree homogeneous …
Linearizability conditions for Lotka–Volterra planar complex cubic systems
In this paper, we investigate the linearizability problem for the two-dimensional planar
complex system. The necessary and sufficient conditions for the linearizability of this system …
complex system. The necessary and sufficient conditions for the linearizability of this system …
[HTML][HTML] Linearizability conditions for Lotka–Volterra planar complex quartic systems having homogeneous nonlinearities
In this paper we investigate the linearizability problem for the two-dimensional Lotka–
Volterra complex quartic systems which are linear systems perturbed by fourth degree …
Volterra complex quartic systems which are linear systems perturbed by fourth degree …
A hybrid symbolic-numerical approach to the center-focus problem
We propose a new hybrid symbolic-numerical approach to the center-focus problem. The
method allowed us to obtain center conditions for a three-dimensional system of differential …
method allowed us to obtain center conditions for a three-dimensional system of differential …
Poincaré map for some polynomial systems of differential equations
VP Varin - Sbornik: Mathematics, 2004 - iopscience.iop.org
One approach to the classical problem of distinguishing between a centre and a focus for a
system of differential equations with polynomial right-hand sides in the plane is discussed …
system of differential equations with polynomial right-hand sides in the plane is discussed …
The center problem for a 2:-3 resonant cubic Lotka–Volterra system
In this paper we obtain conditions on the coefficients of a cubic Lotka–Volterra system of the
form (1) x ̇= x (2-a 20 x 2-a 11 xy-a 02 y 2), y ̇= y (-3+ b 20 x 2+ b 11 xy+ b 02 y 2), which …
form (1) x ̇= x (2-a 20 x 2-a 11 xy-a 02 y 2), y ̇= y (-3+ b 20 x 2+ b 11 xy+ b 02 y 2), which …
[HTML][HTML] The center problem for a 1:− 4 resonant quadratic system
The main objective of this paper is to find necessary and sufficient conditions for a 1:− 4
resonant system of the form x˙= x− a 10 x 2− a 01 xy− a 12 y 2, y˙=− 4 y+ b 2,− 1 x 2+ b 10 x …
resonant system of the form x˙= x− a 10 x 2− a 01 xy− a 12 y 2, y˙=− 4 y+ b 2,− 1 x 2+ b 10 x …