35 citations · 95 across the 12 of their papers we have counts for
14 papers
Ground States and Periodic--to--Localized Convergence in Two--Dimensional Saturable Discrete Nonlinear Schrödinger Equations
Vassilios M Rothos
We study a two--dimensional discrete nonlinear Schrödinger equation with saturable nonlinearity on the lattice . Using a variational approach based on the Nehari manif…
Spectral stability and slow--fast structure of traveling waves in a regularized sine--Gordon equation
Vassilios M Rothos
We investigate the dynamics and spectral stability of traveling kink and antikink solutions in a dissipative sine--Gordon equation with two distinct fourth--order regularization me…
Separatrix Splitting and Chaotic Dynamics in Collective-Coordinate Reductions of Driven Kinks
Vassilios M Rothos
We investigate the emergence of chaotic dynamics in collective-coordinate reductions of a driven and spatially modulated field describing the motion of topological kinks. Foc…
Periodically Forced Nonlinear Oscillatory Acoustic Vacuum
Makrina Agaoglou, Michal Feckan, Michal Pospisil +2
In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied…
Homoclinic chaos in a pair of parametrically-driven coupled SQUIDs
M. Agaoglou, V. M. Rothos, H. Susanto
An rf superconducting quantum interference device (SQUID) consists of a superconducting ring interrupted by a Josephson junction (JJ). When driven by an alternating magnetic field,…
Travelling waves in nonlinear magneto-inductive lattices
M. Agaoglou, M. Feckan, M. Pospisil +2
We consider a lattice equation modelling one-dimensional metamaterials formed by a discrete array of nonlinear resonators. We focus on periodic travelling waves due to the presence…