19 citations · 35 across the 5 of their papers we have counts for
5 papers
On an Analytical Criterion for Detecting Intermittent Turbulent Behaviour of Solutions of Partial Differential Equations
Michele V Bartuccelli, Guido Gentile
A main question in the study of partial differential equations is the following: how do we understand the nature of the solutions and, in particular, how do we determine if a given…
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,…
Stable dynamics in forced systems with sufficiently high/low forcing frequency
M. Bartuccelli, G. Gentile, J. A. Wright
We consider a class of parametrically forced Hamiltonian systems with one-and-a-half degrees of freedom and study the stability of the dynamics when the frequency of the forcing is…
Frequency locking in the injection-locked frequency divider equation
Michele V. Bartuccelli, Jonathan H. B. Deane, Guido Gentile
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 fo…