Browsing by Author "Gidea, Marian"
Now showing items 1-5 of 5
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A general mechanism of diffusion in hamiltonian systems: qualitative results
(2019-01-01)
Article
Open AccessWe present a general mechanism to establish the existence of diffusing orbits in a large class of nearly integrable Hamiltonian systems. Our approach is based on following the “outer dynamics” along homoclinic orbits to a ... -
A general mechanism of instability in Hamiltonian systems: skipping along a normally hyperbolic invariant manifold
(2020)
Article
Open AccessWe describe a recent method to show instability in Hamiltonian systems. The main hypothesis of the method is that some explicit transversality conditions – which can be verified in concrete systems by finite calculations ... -
Arnold's mechanism of diffusion in the spatial circular restricted three-body problem: A semi-analytical argument
(2016-11-01)
Article
Open AccessWe consider the spatial circular restricted three-body problem, on the motion of an infinitesimal body under the gravity of Sun and Earth. This can be described by a 3-degree of freedom Hamiltonian system. We fix an energy ... -
Preface of Llavefest: A broad perspective on finite and infinite dimensional dynamical systems
(American Institute of Mathematical Sciences, 2018-12-01)
Article
Open AccessWe prove that for any non-trivial perturbation depending on any two independent harmonics of a pendulum and a rotor there is global instability. The proof is based on the geometrical method and relies on the concrete ... -
Special section on celestial mechanics and applications 3rd Conference on Nonlinear Science and Complexity 2010 – NSC10
(2012-12)
Article
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