Exploració per tema "periodic orbits"
Ara es mostren els items 1-15 de 15
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A note on the periodic orbits and topological entropy of graph maps
(2000)
Article
Accés obertThis paper deals with the relationship between the periodic orbits of continuous maps on graphs and the topological entropy of the map. We show that the topological entropy of a graph map can be approximated by the entropy ... -
An analytical approach to codimension-2 sliding bifurcations in the dry friction oscillator
(2010)
Article
Accés restringit per política de l'editorialIn this paper, we analytically consider sliding bifurcations of periodic orbits in the dry-friction oscillator. The system depends on two parameters: F, which corresponds to the intensity of the friction, and ω, the ... -
Bifurcation gaps in asymmetric and high-dimensional hypercycles
(2018-01-01)
Article
Accés obertHypercycles are catalytic systems with cyclic architecture. These systems have been suggested to play a key role in the maintenance and increase of information in prebiotic replicators. It is known that for a large enough ... -
Continuation of bifurcations of periodic orbits for large-scale systems
(2015-01-01)
Article
Accés obertA methodology to track bifurcations of periodic orbits in large-scale dissipative systems depending on two parameters is presented. It is based on the application of iterative Newton-Krylov techniques to extended systems. ... -
Effective Stability Around Periodic Orbits of the Spatial RTBP
(1995)
Article
Accés obertIn this work we study the dynamics around an elliptic periodic orbit of Hamiltonian systems. To this end we have developped an algorithm to compute a normal form (up to a finite order) around this orbit, that gives an ... -
HAmsys 2014
(2014)
Text en actes de congrés
Accés restringit per política de l'editorialIn this talk we give an explanation of transport in the solar system based in dynamical systems theory. More concretely we consider (as a first approximation) different bicircular problems (i.e. Sun, Jupiter, a planet ... -
Horseshoe periodic orbits in the restricted three body problem
(2001)
Article
Accés obert -
Invariant manifolds of L_3 and horseshoe motion in the restricted three-body problem
(2005)
Article
Accés obertIn this paper, we consider horseshoe motion in the planar restricted three-body problem. On one hand, we deal with the families of horseshoe periodic orbits (which surround three equilibrium points called L3, L4 and L5), ... -
J2 effect and elliptic inclined periodic orbits in the collision three-body problem
(2008-01)
Article
Accés obertThe existence of a new class of inclined periodic orbits of the collision restricted three{body problem is shown. The symmetric periodic solutions found are perturbations of elliptic kepler orbits and they exist only for ... -
Motion close to the hopf bifurcation of the vertical family of periodic orbits of L^4
(2003)
Article
Accés obertThe paper deals with different kinds of invariant motions (periodic orbits, 2D and 3D invariant tori and invariant manifolds of periodic orbits) in order to analyze the Hamiltonian direct Hopf bifurcation that takes place ... -
On the length spectrum of analytic convex billiard tables
(Universitat Politècnica de Catalunya, 2011)
Projecte Final de Màster Oficial
Accés obertBilliard maps are a type of area-preserving twist maps and, thus, they inherit a vast num-ber of properties from them, such as the Lagrangian formulation, the study of rotational invariant curves, the types of periodic ... -
Periodic orbits of horseshoe type in the planar restricted three-body problem
(2002)
Article
Accés obert -
Stability and asymptotic behaviour of the vertical family of periodic orbits around L_5 of the restricted three-body problem
(1997)
Article
Accés obertIn this work we study some numerical results about a family of periodic orbits of the Restricted Three Body Problem (RTBP). The family considered is one of the Lyapunov families related to the equlibrium point $L_5$. More ... -
The frequency map for billiards inside ellipsoids
(2010-04)
Report de recerca
Accés obertThe billiard motion inside an ellipsoid Q Rn+1 is completely integrable. Its phase space is a symplectic manifold of dimension 2n, which is mostly foliated with Liouville tori of dimension n. The motion on each Liouville ... -
Warp evidence in precessing galactic bar models
(EDP Sciences, 2016-04-01)
Article
Accés obertMost galaxies have a warped shape when they are seen edge-on. The reason for this curious form is not completely known so far, so in this work we apply dynamical system tools to contribute to its explanation. Starting from ...