Dynamics of coexisting rotating waves in unidirectional rings of bistable Duffing oscillators

JJ Barba-Franco, A Gallegos… - … Journal of Nonlinear …, 2023 - pubs.aip.org
We study the dynamics of multistable coexisting rotating waves that propagate along a
unidirectional ring consisting of coupled double-well Duffing oscillators with different …

Synchronization of Fractional Partial Difference Equations via Linear Methods

I Abu Falahah, A Hioual, MO Al-Qadri… - Axioms, 2023 - mdpi.com
Discrete fractional models with reaction-diffusion have gained significance in the scientific
field in recent years, not only due to the need for numerical simulation but also due to the …

Analysis of the type v intermittency using the perron-frobenius operator

S Elaskar, E del Rio, W Schulz - Symmetry, 2022 - mdpi.com
A methodology to study the reinjection process in type V intermittency is introduced. The
reinjection probability density function (RPD), and the probability density of the laminar …

Type-I intermittency with discontinuous reinjection probability density in a truncation model of the derivative nonlinear Schrödinger equation

G Krause, S Elaskar, E del Río - Nonlinear Dynamics, 2014 - Springer
In previous papers, the type-I intermittent phenomenon with continuous reinjection
probability density (RPD) has been extensively studied. However, in this paper type-I …

Intermittency reinjection in the logistic map

S Elaskar, E del Río, S Elaskar - Symmetry, 2022 - mdpi.com
Just below a Period-3 window, the logistic map exhibits intermittency. Then, the third iterate
of this map has been widely used to explain the chaotic intermittency concept. Much …

Effect of the lower boundary of reinjection and noise in type-II intermittency

S Elaskar, E del Rio, G Krause, A Costa - Nonlinear Dynamics, 2015 - Springer
We implement a recent methodology to study type-II intermittency considering different
values of the lower boundary of reinjection (LBR) and the noise intensity. With this approach …

Theoretical evaluation of the reinjection probability density function in chaotic intermittency

S Elaskar, E del Río - Symmetry, 2023 - mdpi.com
The traditional theory of chaotic intermittency developed for return maps hypothesizes a
uniform density of reinjected points from the chaotic zone to the laminar one. In the past few …

Nonuniform reinjection probability density function in type V intermittency

S Elaskar, E del Río, L Gutierrez Marcantoni - Nonlinear Dynamics, 2018 - Springer
In this paper, type V intermittency is studied using the M function methodology developed in
the last years. This methodology is applied on two different maps to evaluate the reinjection …

Evaluation of the statistical properties for type-II intermittency using the Perron–Frobenius operator

S Elaskar, E del Río, E Zapico - Nonlinear Dynamics, 2016 - Springer
In this paper, we study type-II intermittency by means of the Perron–Frobenius operator. We
calculate analytical expressions for the reinjection probability density (RPD) and the …

Discontinuous reinjection probability density functions in type v intermittency

S Elaskar, E Del Río - Journal of Computational and …, 2018 - asmedigitalcollection.asme.org
This paper reports theoretical and numerical results about the reinjection process in type V
intermittency. The M function methodology is applied to a simple mathematical model to …