Zobrazeno 1 - 10
of 59
pro vyhledávání: '"Bartuccelli, Michele V."'
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
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
We give a comprehensive study of interpolation inequalities for periodic functions with zero mean, including the existence of and the asymptotic expansions for the extremals, best constants, various remainder terms, etc. Most attention is paid to the
Externí odkaz:
http://arxiv.org/abs/1012.2061
Publikováno v:
Nonlinear Analysis. Real World Applications 11 (2010), no. 5, 3344-3362
In this paper we consider a resonant injection-locked frequency divider which is of interest in electronics, and we investigate the frequency locking phenomenon when varying the amplitude and frequency of the injected signal. We study both analytical
Externí odkaz:
http://arxiv.org/abs/0910.0752
Publikováno v:
Proceedings of The Royal Society of London Series A. Mathematical, Physical and Engineering Sciences 465 (2009), no. 2101, 283-306
We consider a model for the injection-locked frequency divider, and study analytically the locking onto rational multiples of the driving frequency. We provide explicit formulae for the width of the plateaux appearing in the devil's staircase structu
Externí odkaz:
http://arxiv.org/abs/0807.3489
Publikováno v:
Journal of Mathematical Physics 47 (2006), no. 7, 072702, 10 pp
We consider a class of ordinary differential equations describing one-dimensional analytic systems with a quasi-periodic forcing term and in the presence of damping. In the limit of large damping, under some generic non-degeneracy condition on the fo
Externí odkaz:
http://arxiv.org/abs/math/0604162
Publikováno v:
Reviews in Mathematical Physics 19 (2007), no. 3, 307-348
We revisit a problem considered by Chow and Hale on the existence of subharmonic solutions for perturbed systems. In the analytic setting, under more general (weaker) conditions, we prove their results on the existence of bifurcation curves from the
Externí odkaz:
http://arxiv.org/abs/math/0604098