7 citations · 10 across the 3 of their papers we have counts for
6 papers
Trigonometric Nosé--Hoover oscillator: chaos, periodic orbits and integrability
Wojciech Szumiński, Jaume Llibre
We introduce a trigonometric version of the Nosé-Hoover oscillator in which the quadratic mechanical terms and unbounded thermostat coupling are replaced by bounded trigonometric f…
Dynamics, periodic orbits and non-integrability of the ABC flow
Wojciech Szumiński, Jaume Llibre
We study the Arnold-Beltrami-Childress (ABC) flow in perturbative regimes near its three elementary integrable coordinate axes. Starting from a degenerate family of periodic stream…
Zero-Hopf bifurcation, periodic orbits and non-integrability of the classical Rössler system
Jaume Llibre, Wojciech Szumiński
We investigate the zero-Hopf bifurcation and the local -non-integrability of the original Rössler system. First, we characterize the unique zero-Hopf equilibrium of the syst…
Singular barriers and quartic integrability breaking in the TTW system
Adrian M. Escobar Ruiz, Miguel E. Gómez Quintanar, Lidia Jiménez-Lara +1
We study the competition between resonance-induced integrability breaking and centrifugal confinement in a symmetric quartic deformation of the classical Tremblay--Turbiner--…
Limit cycles and chaos in planar hybrid systems
Jaume Llibre, Paulo Santana
In this paper we study the family of planar hybrid differential systems formed by two linear centers and a polynomial reset map of any degree. We study their limit cycles and also…
On three-parameter families of Filippov systems -- the fold-saddle singularity
Tiago de Carvalho, Claudio Aguinaldo Buzzi, Marco Antonio Teixeira
This paper presents results concerning bifurcations of 2D piecewise-smooth vector fields. In particular, the generic unfoldings of codimension three fold-addle singularities of Fil…