[PDF][PDF] Phase portraits of a family of Kolmogorov systems depending on six parameters
We consider a general 3-dimensional Lotka-Volterra system with a rational first integral of
degree two of the form H= xi yj zk. The restriction of this Lotka-Volterra system to each …
degree two of the form H= xi yj zk. The restriction of this Lotka-Volterra system to each …
Evolutionary stable strategies and cubic vector fields
The introduction of concepts of Game Theory and Ordinary Differential Equations into
Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology …
Biology gave birth to the field of Evolutionary Stable Strategies, with applications in Biology …
Phase portraits of separable quadratic systems and a bibliographical survey on quadratic systems
T Li, J Llibre - Expositiones Mathematicae, 2021 - Elsevier
Although planar quadratic differential systems and their applications have been studied in
more than one thousand papers, we still have no complete understanding of these systems …
more than one thousand papers, we still have no complete understanding of these systems …
[PDF][PDF] Quadratic systems with an invariant algebraic curve of degree 3 and a Darboux invariant
Let QS be the class of non-degenerate planar quadratic differential systems and QS3 its
subclass formed by the systems possessing an invariant cubic ƒ (x, y)= 0. In this article …
subclass formed by the systems possessing an invariant cubic ƒ (x, y)= 0. In this article …
Exactly solvable quadratic differential equation systems through generalized inversion
Á Bácsi, AT Kocsis - Qualitative Theory of Dynamical Systems, 2023 - Springer
We study the autonomous systems of quadratic differential equations of the form x˙ i (t)= x (t)
TA ix (t)+ vi T x (t) with x (t)=(x 1 (t), x 2 (t),…, xi (t),⋯) which, in general, cannot be solved …
TA ix (t)+ vi T x (t) with x (t)=(x 1 (t), x 2 (t),…, xi (t),⋯) which, in general, cannot be solved …