A. Gasull.   NEW 2024-04-16
From Abel's differential equations to Hilbert's 16th problem.
Preprint. April, 2024.
PreprintAbstract

F. Braun, L. P. C. Cruz, J. Torregrosa.   NEW 2024-04-15
On the number of limit cycles in piecewise planar quadratic differential systems.
Nonlinear Anal. Real World Appl., 79, 104124. 2024. [DOI]
PostprintAbstract

J. Llibre, C. Valls.   NEW 2024-04-15
Twin quadratic polynomial vector fields in the space $C^3$.
Dyn. Contin. Discrete Impuls. Syst. Ser A: Math Anal., 31, 121-132. 2024.
PostprintAbstract

M. F. S. Lima, J. Llibre.   NEW 2024-04-11
Hopf bifurcation for a class of predator-prey system with small immigration.
Preprint. April, 2024.
Abstract

L. P. C. Cruz, J. Torregrosa, M. Berdugo, J. Sardanyés.   NEW 2024-04-05
Resource-consumer dynamics in drylands: Modeling the role of plant-plant facilitation-competition shifts with a piecewise system.
Preprint. April, 2024.
PreprintAbstract

J. Llibre, C. Valls.   NEW 2024-04-05
Darboux theory of integrability in $T^n$.
European J. Appl. Math., 26(10), . 2024. [DOI]
PostprintAbstract

J. Llibre, L. P. Serantola.   NEW 2024-04-02
The easiest polynomial differential systems in $\mathbb{{R}}^3$ having an invariant cylinder.
Preprint. April, 2024.
Abstract

J. Llibre, C. Valls.   NEW 2024-03-26
A weakened Markus-Yamabe condition for planar polynomial differential systems of degree (1,n).
Proc. Edinb. Math. Soc. (2), 66, 1110–1118. 2024. [DOI]
PreprintAbstract

V. Castellanos, J. Llibre.   NEW 2024-03-22
Persistence and zero-Hopf equilibrium in the tritrophic food chain model with Holling functional response.
Preprint. March, 2024.
Abstract

M. Álvarez-Ramírez, J. Llibre.   NEW 2024-03-17
Global phase portrait of a rolling motion of ships equation.
Preprint. March, 2024.
Abstract

J. Llibre, C. Valls.   NEW 2024-03-14
Darboux theory of integrability on the Clifford n-dimensional torus.
Bull. Sci. Math., 192, 103403. 2024. [DOI]
PostprintAbstract

D. d. C. Braga, F. S. Dias, J. Llibre, L. F. Mello.   NEW 2024-03-10
The matching of two Markus-Yamabe piecewise smooth systems in the plane.
Preprint. March, 2024.
Abstract

D. Marín, J. Villadelprat.   NEW 2024-03-07
The cyclicity of hyperbolic hemicycles.
Preprint. March, 2024.
PreprintAbstract

J. C. Artés, C. Trullàs.   NEW 2024-03-07
Quadratic differential systems with a weak focus of first order and a finite saddle-node.
Preprint. March, 2024.
PreprintAbstract

J. C. Artés, M. C. Mota, A. C. Rezende.   NEW 2024-03-07
Quadratic differential systems with a finite saddle-node and an infinite saddle-node (1,1) SN - (B).
Preprint. March, 2024.
PreprintAbstract

J. C. Artés, M. C. Mota, A. C. Rezende.   NEW 2024-03-07
Quadratic differential systems with a finite saddle-node and an infinite saddle-node (1,1) SN - (A).
Preprint. March, 2024.
PreprintAbstract

V. Castellanos, J. Llibre.   NEW 2024-03-07
The transition between two ecological limit cycles in one predator-two competitive prey mode.
Preprint. March, 2024.
Abstract