Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators
Networks with different levels of interactions, including multilayer and multiplex networks,
can display a rich diversity of dynamical behaviors and can be used to model and study a …
can display a rich diversity of dynamical behaviors and can be used to model and study a …
Broadcasting solutions on networked systems of phase oscillators
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 …
variety of systems. For these systems, different levels of complexity can be considered in the …
Equilibria in Kuramoto oscillator networks: An algebraic approach
Kuramoto networks constitute a paradigmatic model for the investigation of collective
behavior in networked systems. Despite many advances in recent years, many open …
behavior in networked systems. Despite many advances in recent years, many open …
On the joins of group rings
Given a collection {G i} i= 1 d of finite groups and a ring R, we define a subring of the ring M
n (R)(n=∑ i= 1 d| G i|) that encompasses all the individual group rings R [G i] along the …
n (R)(n=∑ i= 1 d| G i|) that encompasses all the individual group rings R [G i] along the …
On prime Cayley graphs
The decomposition of complex networks into smaller, interconnected components is a
central challenge in network theory with a wide range of potential applications. In this paper …
central challenge in network theory with a wide range of potential applications. In this paper …
On the spectrum of the joins of normal matrices and applications
We study the spectrum of the join of several normal matrices with constant row sums. We
apply our results to compute the characteristic polynomial of the join of several regular …
apply our results to compute the characteristic polynomial of the join of several regular …
On the Paley graph of a quadratic character
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 …
theory. These graphs possess remarkable properties which make them useful in several …
[PDF][PDF] Broadcasting solutions on multilayer networks of phase oscillators
Multilayer networks have been used to model and investigate the dynamical behavior of a
variety of systems. On one hand, this approach offers a more realistic and rich modeling …
variety of systems. On one hand, this approach offers a more realistic and rich modeling …
On the arithmetic of the join rings over finite fields
Given a collection $\{G_i\} _ {i= 1}^ d $ of finite groups and a ring $ R $, we have previously
introduced and studied certain foundational properties of the join ring $\mathcal {J} _ {G_1 …
introduced and studied certain foundational properties of the join ring $\mathcal {J} _ {G_1 …
On the Paley graph of a quadratic character
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 …
theory. These graphs possess remarkable properties which make them useful in several …