[图书][B] Geometric configurations of singularities of planar polynomial differential systems
JC Artés, JC Artés - 2021 - Springer
In this book we consider planar polynomial differential systems, ie systems of the form dx dt=
p (x, y), dy dt= q (x, y) where p (x, y), q (x, y) are polynomials in x, y with real coefficients. To …
p (x, y), dy dt= q (x, y) where p (x, y), q (x, y) are polynomials in x, y with real coefficients. To …
Quadratic systems possessing an infinite elliptic-saddle or an infinite nilpotent saddle
JC Artés, MC Mota, AC Rezende - International Journal of …, 2024 - World Scientific
This paper presents a global study of the class QES ̂ of all real quadratic polynomial
differential systems possessing exactly one elemental infinite singular point and one triple …
differential systems possessing exactly one elemental infinite singular point and one triple …
The geometry of quadratic polynomial differential systems with a finite and an infinite saddle-node (C)
Planar quadratic differential systems occur in many areas of applied mathematics. Although
more than one thousand papers have been written on these systems, a complete …
more than one thousand papers have been written on these systems, a complete …
[PDF][PDF] Complete geometric invariant study of two classes of quadratic systems
In this article, using affine invariant conditions, we give a complete study for quadratic
systems with center and for quadratic Hamiltonian systems. There are two improvements …
systems with center and for quadratic Hamiltonian systems. There are two improvements …
Global topological configurations of singularities for the whole family of quadratic differential systems
In Artés et al.(Geometric configurations of singularities of planar polynomial differential
systems. A global classification in the quadratic case. Birkhäuser, Basel, 2019) the authors …
systems. A global classification in the quadratic case. Birkhäuser, Basel, 2019) the authors …
[PDF][PDF] Geometric and algebraic classification of quadratic differential systems with invariant hyperbolas
Let QSH be the whole class of non-degenerate planar quadratic differential systems
possessing at least one invariant hyperbola. We classify this family of systems, modulo the …
possessing at least one invariant hyperbola. We classify this family of systems, modulo the …
Global phase portraits of quadratic polynomial differential systems with a semi-elemental triple node
Planar quadratic differential systems occur in many areas of applied mathematics. Although
more than one thousand papers have been written on these systems, a complete …
more than one thousand papers have been written on these systems, a complete …
Quadratic systems with an integrable saddle: A complete classification in the coefficient space R12
A quadratic polynomial differential system can be identified with a single point of R12
through the coefficients. Using the algebraic invariant theory we classify all the quadratic …
through the coefficients. Using the algebraic invariant theory we classify all the quadratic …
Geometric configurations of singularities for quadratic differential systems with total finite multiplicity lower than 2
In [3] we classified globally the configurations of singularities at infinity of quadratic
differential systems, with respect to the geometric equivalence relation. The global …
differential systems, with respect to the geometric equivalence relation. The global …
Geometric configurations of singularities for quadratic differential systems with three distinct real simple finite singularities
In this work we classify, with respect to the geometric equivalence relation, the global
configurations of singularities, finite and infinite, of quadratic differential systems possessing …
configurations of singularities, finite and infinite, of quadratic differential systems possessing …