Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Bartuccelli, Michele"'
In the framework of KAM theory, the persistence of invariant tori in quasi-integrable systems is proved by assuming a non-resonance condition on the frequencies, such as the standard Diophantine condition or the milder Bryuno condition. In the presen
Externí odkaz:
http://arxiv.org/abs/2102.09868
Publikováno v:
Monthly Notices of the Royal Astronomical Society 469 (2017), no. 1, 127-150
Mercury is entrapped in a 3:2 resonance: it rotates on its axis three times for every two revolutions it makes around the Sun. It is generally accepted that this is due to the large value of the eccentricity of its orbit. However, the mathematical mo
Externí odkaz:
http://arxiv.org/abs/1703.01189
We consider the Modified Kuramoto-Sivashinky Equation (MKSE) in one and two space dimensions and we obtain explicit and accurate estimates of various Sobolev norms of the solutions. In particular, by using the sharp constants which appear in the func
Externí odkaz:
http://arxiv.org/abs/1609.09394
We present an algorithm for the rapid numerical integration of a time-periodic ODE with a small dissipation term that is $C^1$ in the velocity. Such an ODE arises as a model of spin-orbit coupling in a star/planet system, and the motivation for devis
Externí odkaz:
http://arxiv.org/abs/1606.06946
We present an algorithm for the rapid numerical integration of smooth, time-periodic differential equations with small nonlinearity, particularly suited to problems with small dissipation. The emphasis is on speed without compromising accuracy and we
Externí odkaz:
http://arxiv.org/abs/1410.5982
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation 29 (2015), 72-87
We consider dissipative periodically forced systems and investigate cases in which having information as to how the system behaves for constant dissipation may be used when dissipation varies in time before settling at a constant final value. First,
Externí odkaz:
http://arxiv.org/abs/1407.0556
Publikováno v:
Nonlinear Dynamics (2014), no. 4, 1377-1409
We consider a pendulum with vertically oscillating support and time-dependent damping coefficient which varies until reaching a finite final value. The sizes of the corresponding basins of attraction are found to depend strongly on the full evolution
Externí odkaz:
http://arxiv.org/abs/1403.4996
Autor:
Bartuccelli, Michele V.
Publikováno v:
Proceedings: Mathematical, Physical and Engineering Sciences, 2019 Sep 01. 475(2229), 1-12.
Externí odkaz:
https://www.jstor.org/stable/26841063
Publikováno v:
Journal of Mathematical Physics 53 (2012), no. 10, 102703, 27 pp
We consider dissipative one-dimensional systems subject to a periodic force and study numerically how a time-varying friction affects the dynamics. As a model system, particularly suited for numerical analysis, we investigate the driven cubic oscilla
Externí odkaz:
http://arxiv.org/abs/1207.4319