W. Szuminski, J. Llibre.   NEW 2026-10-27
Trigonometric Nosé-Hoover oscillator: chaos, periodic orbits and integrability.
Preprint. October, 2026.
Abstract

F. Becatti, J. Llibre.   NEW 2026-10-27
Periodic orbits in slow-fast piecewise linear differential systems.
Preprint. October, 2026.
Abstract

X. Hu, J. Llibre, Y. Tang.   NEW 2026-10-20
Global injectivity and real jacobian conjecture in $\mathbb{{R}}^n$.
Preprint. October, 2026.
Abstract

J. Llibre, Y. Zhao.   NEW 2026-10-20
Periodic orbits of a piecewise hybrid relay system in $\mathbb{{R}}^3$ with a one-Sheeted hyperboloid as switching manifold.
Preprint. October, 2026.
Abstract

N. J. p. Beltran, O. A. R. Cespedes, J. Llibre.   NEW 2026-10-20
The easiest polynomial differential systems in $\mathbb{{R}}^n$ having an invariant quadric.
Preprint. October, 2016.
Abstract

Y. Dai, J. Llibre.   NEW 2026-10-18
Hopf periodic orbits and integrability in the Lü system.
Preprint. October, 2026.
Abstract

J. Llibre, X. Zhang.   NEW 2026-10-12
On the dynamics of the Rocard's relaxation oscillator.
Preprint. October, 2026.
Abstract

S. Jana, J. Llibre.   NEW 2026-10-07
On the circular limit cycles of polynomial Liénard systems and of second-order polynomial differential equations.
Preprint. October, 2026.
Abstract

M. E. Anacleto, J. Llibre.   NEW 2026-10-01
Bifurcation of limit cycles from the cubic centers $\dot x= -yR(x,y)$, $\dot y= xR(x,y)$, being $R(x,y)=0$ one of the nine conics.
Preprint. October, 2026.
Abstract

J. Llibre, Y. Zhao.   NEW 2026-09-25
Periodic orbits of a piecewise hybrid relay system separated by a sphere in $\mathbb R^3$.
Preprint. September, 2026.
Abstract

M. T. A. Cabrera, G. Anacona Erazo, J. Llibre.   NEW 2026-09-18
Bounded homogeneous polynomial differential systems of degree 5.
Preprint. September, 2026.
Abstract

J. C. Artés, C. Bujac, D. Schlomiuk, N. Vulpe.   NEW 2026-09-18
Phase portraits of real quadratic differential systems possessing an invariant ellipse.
Preprint. September, 2026.
Abstract

J. Llibre, C. Valls.   NEW 2026-09-09
Dynamics of the Tolman-Oppenheimer-Volkoff equation.
Preprint. September, 2026.
Abstract

A. Bakhshalizadeh, J. Llibre.   NEW 2026-09-09
Global dynamics of quadratic differential systems in $R^3$ having an invariant torus.
Preprint. September, 2026.
Abstract

G. Anacona Erazo, B. R. Freitas, R. Huzak, D. Rojas.   NEW 2026-09-08
The period function in regularized piecewise smooth planar systems.
Preprint. 2026.
PreprintAbstract

W. Szuminski, J. Llibre.   NEW 2026-09-04
Dynamics, periodic orbits and $C^1$ non-integrability of the ABC flow.
Preprint. September, 2026.
Abstract

W. Cui, J. Llibre.   NEW 2026-08-15
Explicit expression of the Hopf periodic orbit in the Wang-Chen system.
Preprint. August, 2026.
Abstract

C. Cao, J. Llibre.   NEW 2026-08-15
Global attractors in a family of asymmetric cubic-quadratic differential systems.
Preprint. August, 2026.
Abstract

L. P. C. Cruz, R. D. S. Oliveira, B. de Carvalho.   NEW 2026-07-20
Simultaneous limit cycle bifurcations and phase portraits in double-Reversible cubic systems with a saddle at the origin.
Preprint. July, 2026.
PreprintAbstract

G. Anacona Erazo, J. Llibre, B. R. Freitas.   NEW 2026-07-09
Lower bounds on the number of limit cycles for a class of Hamiltonian systems.
Preprint. July, 2026.
Abstract