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Biparametric investigation of the general standard map: multistability and global bifurcations
(2018-07-01)
We investigate multistability and global bifurcations in the general standard map, a biparametric two-dimensional map. Departing from the conservative case of the map, we describe the evolution of periodic solutions and ...
The Lyapunov exponents and the neighbourhood of periodic orbits
(Wiley Blackwell Publishing, Inc, 2020-05)
We show that the Lyapunov exponents of a periodic orbit can be easily obtained from the eigenvalues of the monodromy matrix. It turns out that the Lyapunov exponents of simply stable periodic orbits are all zero, simply ...
Order-chaos-order and invariant manifolds in the bounded planar Earth–Moon system
(2020-12-01)
In this work, we investigate the Earth–Moon system, as modeled by the planar circular restricted three-body problem, and relate its dynamical properties to the underlying structure associated with specific invariant ...
Symmetric periodic orbits near a heteroclinic loop in R-3 formed by two singular points, a semistable periodic orbit and their invariant manifolds
(Elsevier Science BvAmsterdamHolanda, 2009)
Zero-Hopf Bifurcations in Three-Dimensional Chaotic Systems with One Stable Equilibrium
(2020-10-01)
In [Molaie et al., 2013] the authors provided the expressions of 23 quadratic differential systems in R3 with the unusual feature of having chaotic dynamics coexisting with one stable equilibrium point. In this paper, we ...
Estabilización de órbitas periódicas en hamiltonianos T-periódicos
(2019)
En este trabajo se pretende generalizar el método de control desarrollado por Leiva y Briozzo, a fin de hacerlo aplicable a la estabilización de órbitas periódicas inestables (OPIs) en Hamiltonianos periódicos en el tiempo, ...
Study of chaos in Hamiltonian systems via convergent normal forms
(Elsevier Science BvAmsterdamHolanda, 1996)