94 citations · 264 across the 34 of their papers we have counts for
7 papers · 1 filter
On the Paley graph of a quadratic character
Ján Mináč, Lyle Muller, Tung T. Nguyen +1
Paley graphs form a nice link between the distribution of quadratic residues and graph theory. These graphs possess remarkable properties which make them useful in several branches…
An algebraic approach to spike-time neural codes in the hippocampus
Federico W. Pasini, Alexandra N. Busch, Ján Mináč +2
Although temporal coding through spike-time patterns has long been of interest in neuroscience, the specific structures that could be useful for spike-time codes remain highly uncl…
Broadcasting solutions on networked systems of phase oscillators
Tung T. Nguyen, Roberto C. Budzinski, Federico W. Pasini +3
Networked systems have been used to model and investigate the dynamical behavior of a variety of systems. For these systems, different levels of complexity can be considered in the…
Small changes at single nodes can shift global network dynamics
Kalel L. Rossi, Roberto C. Budzinski, Bruno R. R. Boaretto +2
Understanding the sensitivity of a system's behavior with respect to parameter changes is essential for many applications. This sensitivity may be desired - for instance in the bra…
On the joins of group rings
Sunil K. Chebolu, Jonathan L. Merzel, Ján Mináč +4
Given a collection of finite groups and a ring , we define a subring of the ring ( that encompasses all the individual group…
Analytical prediction of specific spatiotemporal patterns in nonlinear oscillator networks with distance-dependent time delays
Roberto C. Budzinski, Tung T. Nguyen, Gabriel B. Benigno +4
We introduce an analytical approach that allows predictions and mechanistic insights into the dynamics of nonlinear oscillator networks with heterogeneous time delays. We demonstra…
Joins of normal matrices, their spectrum, and applications
Jan Mináč, Lyle Muller, Tung T. Nguyen +1
Motivated by studies of oscillator networks, we study the spectrum of the join of several normal matrices with constant row sums. We apply our results to compute the characteristic…