Zobrazeno 1 - 10
of 332
pro vyhledávání: '"Carletti T"'
We revisit the problem of introducing an a priori control for devices that can be modeled via a symplectic map in a neighborhood of an elliptic equilibrium. Using a technique based on Lie transform methods we produce a normal form algorithm that avoi
Externí odkaz:
http://arxiv.org/abs/1510.06561
In this work, we present a symplectic integration scheme to numerically compute space debris motion. Such an integrator is particularly suitable to obtain reliable trajectories of objects lying on high orbits, especially geostationary ones. Indeed, i
Externí odkaz:
http://arxiv.org/abs/1201.5274
We hereby introduce and study an algorithm able to search for initial conditions corresponding to orbits presenting forced oscillations terms only, namely to completely remove the free or proper oscillating part. This algorithm is based on the Numeri
Externí odkaz:
http://arxiv.org/abs/1101.2138
To distinguish between regular and chaotic orbits in Hamiltonian systems, the Global Symplectic Integrator (GSI) has been introduced, based on the symplectic integration of both Hamiltonian equations of motion and variational equations. In the presen
Externí odkaz:
http://arxiv.org/abs/1011.6207
We derive a Hamiltonian control theory which can be applied to a 4D symplectic map that models a ring particle accelerator composed of elements with sextupole nonlinearity. The controlled system is designed to exhibit a more regular orbital behavior
Externí odkaz:
http://arxiv.org/abs/1007.1565
Publikováno v:
Celestial Mechanics and Dynamical Astronomy, Volume 108, Issue 3, pp.275-300, 2010
We hereby study the stability of a massless probe orbiting around an oblate central body (planet or planetary satellite) perturbed by a third body, assumed to lie in the equatorial plane (Sun or Jupiter for example) using an Hamiltonian formalism. We
Externí odkaz:
http://arxiv.org/abs/1003.0327
Publikováno v:
(2011) Emerging structures in social networks guided by opinions' exchanges, in Advances in Complex Systems, volume 14, Issue 1, pp. 13-30
In this paper we show that the small world and weak ties phenomena can spontaneously emerge in a social network of interacting agents. This dynamics is simulated in the framework of a simplified model of opinion diffusion in an evolving social networ
Externí odkaz:
http://arxiv.org/abs/1002.0689
Publikováno v:
Advances in Space Research, Volume 43, Issue 10, 15 May 2009, Pages 1509-1526
In this paper we provide an extensive analysis of the global dynamics of high-area-to-mass ratios geosynchronous (GEO) space debris, applying a recent technique developed by Cincotta et al. (2000), Mean Exponential Growth factor of Nearby Orbits (MEG
Externí odkaz:
http://arxiv.org/abs/0810.1859
We present a geometric proof of the Poincar\'e-Dulac Normalization Theorem for analytic vector fields with singularities of Poincar\'e type. Our approach allows us to relate the size of the convergence domain of the linearizing transformation to the
Externí odkaz:
http://arxiv.org/abs/math/0408021
Autor:
Carletti, T., Laskar, J.
We study the behaviour of the Standard map critical function in a neighbourhood of a fixed resonance, that is the scaling law at the fixed resonance. We prove that for the fundamental resonance the scaling law is linear. We show numerical evidence th
Externí odkaz:
http://arxiv.org/abs/nlin/0003040