• Vibrational resonance in a scale-free network with different coupling schemes 

  Agaoglu, Sukriye Nihal; Calim, Ali; Hövel, Philipp; Ozer, Mahmut; Uzuntarla, Muhammet (Elsevier, 2018-10-05)

  We investigate the phenomenon of vibrational resonance (VR) in neural populations, whereby weak low-frequency signals below the excitability threshold can be detected with the help of additional high-frequency driving. The ...
• Small rings without ideal centres 

  Buckley, Stephen M.; Machale, Desmond (Irish Mathematical Society, 2012)

  We show that the smallest indecomposable non-unital ring in which the centre is not an ideal has order 32.
• Boolean rings are definitely commutative! 

  MacHale, Desmond (Irish Mathematical Society, 2015)

  A ring {R, +, .} is called Boolean if r2 = r for all r ∈ R. We present four proofs that a Boolean ring is commutative.
• Counting commutativities in finite algebraic systems 

  Dolan, Brian; MacHale, Desmond; MacHale, Peter (Irish Mathematical Society, 2016)

  We examine the total possible number of commutativities in a finite algebraic system, concentrating on groups, but also examining rings and semigroups. Numerical restrictions are found and bounds for the total number of ...
• When is a finite ring a field? 

  MacHale, Desmond (Irish Mathematical Society, 1996-12)

View more