55 citations · 189 across the 20 of their papers we have counts for
21 papers
Some subsets of set F in the diluted Hofstadter problem
Jonathan H. B. Deane, Guido Gentile
We continue work started in [1] concerning integer sequences q(n), n in N, defined by q(n) = q(n-q(n-1)) + f(n), with q(1) = 1. Here, f(n), with f(1) = 0, is a given sequence. We d…
A diluted version of the problem of the existence of the Hofstadter sequence
Jonathan H. B. Deane, Guido Gentile
We investigate the conditions on an integer sequence f(n), n 2 N, with f(1) = 0, such that the sequence q(n), computed recursively via q(n) = q(n - q(n - 1)) + f(n), with q(1) = 1,…
Pseudo-synchronous solutions for dissipative non-autonomous systems
Michele Bartuccelli, Livia Corsi, Jonathan Deane +1
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 standa…
Power computation for the triboelectric nanogenerator
J. H. B. Deane, R. D. I. G. Dharmasena, G. Gentile
We consider, from a mathematical perspective, the power generated by a contact-mode triboelectric nanogenerator, an energy harvesting device that has been well studied recently. We…
A calibration method for estimating critical cavitation loads from below in 3D nonlinear elasticity
Jonathan J. Bevan, Jonathan H. B. Deane
In this paper we give an explicit sufficient condition for the affine map to be the global energy minimizer of a general class of elastic stored-energy functionals $I(…
Periodic and quasi-periodic attractors for the spin-orbit evolution of Mercury with a realistic tidal torque
Michele Bartuccelli, Jonathan Deane, Guido Gentile
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 larg…