Zero–Hopf bifurcations in three-dimensional chaotic systems with one stable equilibrium

J Llibre, M Messias… - International Journal of …, 2020 - World Scientific
In [Molaie et al., 2013] the authors provided the expressions of 23 quadratic differential
systems in ℝ 3 with the unusual feature of having chaotic dynamics coexisting with one …

Zero-Hopf bifurcations in 3-dimensional differential systems with no equilibria

MR Cândido, J Llibre - Mathematics and Computers in Simulation, 2018 - Elsevier
Recently sixteen 3-dimensional differential systems exhibiting chaotic motion and having no
equilibria have been studied, and it has been graphically observed that these systems have …

[PDF][PDF] NEW APPROACH OF CONTROLLING CARDIAC ALTERNANS.

M Kesmia, S Boughaba… - Discrete & Continuous …, 2018 - pdfs.semanticscholar.org
The alternans of the cardiac action potential duration is a pathological rhythm. It is
considered to be relating to the onset of ventricular fibrillation and sudden cardiac death. It is …

[PDF][PDF] Periodic solutions of some classes of continuous second-order differential equations

J Llibre, A Makhlouf - Discrete Contin. Dyn. Syst. Ser. B, 2017 - core.ac.uk
PERIODIC SOLUTIONS OF SOME CLASSES OF CONTINUOUS SECOND–ORDER
DIFFERENTIAL EQUATIONS 1. Introduction and statement of the main Page 1 PERIODIC …

Limit cycles bifurcating from a zero-Hopf equilibrium of a 3-dimensional continuous differential system

S Kassa, J Llibre, A Makhlouf - São Paulo Journal of Mathematical …, 2021 - Springer
A zero-Hopf equilibrium of a differential system in R^ 3 R 3 is an equilibrium point whose
linear part has eigenvalues 0 and ± ω i±ω i with ω> 0 ω> 0. We provide necessary and …

Periodic orbits, invariant tori and chaotic behavior in certain nonequilibrium quadratic three-dimensional differential systems

AC Reinol, M Messias - Nonlinear Dynamical Systems with Self-Excited …, 2018 - Springer
Abstract In (Jafari et al, Phys Lett A 377 (9): 699-702, 2013) the authors gave the
expressions of seventeen classes of quadratic differential systems defined in R^ 3 …

[图书][B] New results in averaging theory and its applications

MR Cândido - 2018 - ddd.uab.cat
This work presents new results in the averaging theory for finding periodic solutions. Using
Lyapunov-Schmidt reduction and Brouwer's degree we elaborate an averaging theorem …