8 citations · 21 across the 7 of their papers we have counts for
7 papers
Using Lagrangian descriptors to reveal the phase space structure of dynamical systems described by fractional differential equations: Application to the Duffing oscillator
Dylan Theron, Hadi Susanto, Makrina Agaoglou +1
We showcase the utility of the Lagrangian descriptors method in qualitatively understanding the underlying dynamical behavior of dynamical systems governed by fractional-order diff…
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…
Bifurcation Results for Traveling Waves in Nonlinear Magnetic Metamaterials
M. Agaoglou, V. M. Rothos, D. J Fratzeskakis +2
In this work, we study a model of a one-dimensional magnetic metamaterial formed by a discrete array of nonlinear resonators. We focus on periodic and localized traveling waves of…
Existence and uniqueness of (ω,c)-periodic solutions of semilinear evolution equations
Makrina Agaoglou, Michal Feckan, Angeliki P. Panagiotidou
In this work we study the existence and uniqueness of (ω,c)-periodic solutions for semilinear evolution equations in complex Banach spaces.
Gain-loss-driven travelling waves in PT-symmetric nonlinear metamaterials
M. Agaoglou, M. Feckan, M. Pospisil +2
In this work we investigate a one-dimensional parity-time (PT)-symmetric magnetic metamaterial consisting of split-ring dimers having gain or loss. Employing a Melnikov analysis we…