Spiral organization of quasi-periodic shrimp-shaped domains in a discrete predator–prey system

NC Pati - Chaos: An Interdisciplinary Journal of Nonlinear …, 2024 - pubs.aip.org
In this paper, we report the discovery of some novel dynamical scenarios for quasi-periodic
shrimp-shaped structures embedded within chaotic phases in bi-parameter space of a …

[HTML][HTML] Intricate routes to chaos in the Mackey–Glass delayed feedback system

L Junges, JAC Gallas - Physics letters A, 2012 - Elsevier
We describe some remarkable continuous deformations which create and destroy peaks in
periodic oscillations of the Mackey–Glass equation, a paradigmatic example of a delayed …

Self-similarities of periodic structures for a discrete model of a two-gene system

SLT de Souza, AA Lima, IL Caldas, RO Medrano-T… - Physics Letters A, 2012 - Elsevier
We report self-similar properties of periodic structures remarkably organized in the two-
parameter space for a two-gene system, described by two-dimensional symmetric map. The …

[HTML][HTML] Bifurcation structures and transient chaos in a four-dimensional Chua model

A Hoff, DT da Silva, C Manchein, HA Albuquerque - Physics letters A, 2014 - Elsevier
A four-dimensional four-parameter Chua model with cubic nonlinearity is studied applying
numerical continuation and numerical solutions methods. Regarding numerical solution …

Characterization in bi-parameter space of a non-ideal oscillator

SLT De Souza, AM Batista, MS Baptista… - Physica A: Statistical …, 2017 - Elsevier
We investigate the dynamical behavior of a non-ideal Duffing oscillator, a system composed
of a mass–spring–pendulum driven by a DC motor with limited power supply. To identify …

Replicate periodic windows in the parameter space of driven oscillators

ES Medeiros, SLT De Souza, RO Medrano-T… - Chaos, Solitons & …, 2011 - Elsevier
In the bi-dimensional parameter space of driven oscillators, shrimp-shaped periodic
windows are immersed in chaotic regions. For two of these oscillators, namely, Duffing and …

Topological changes in periodicity hubs of dissipative systems

R Barrio, F Blesa, S Serrano - Physical Review Letters, 2012 - APS
We reveal the existence of a new codimension-1 curve that involves a topological change in
the structure of the chaotic invariant sets (attractors and saddles) in generic three …

Period-adding and spiral organization of the periodicity in a Hopfield neural network

PC Rech - International Journal of Machine Learning and …, 2015 - Springer
This work reports two-dimensional parameter space plots, concerned with a three-
dimensional Hopfield-type neural network with a hyperbolic tangent as the activation …

Lyapunov exponent diagrams of a 4-dimensional Chua system

C Stegemann, HA Albuquerque… - … Journal of Nonlinear …, 2011 - pubs.aip.org
We report numerical results on the existence of periodic structures embedded in chaotic and
hyperchaotic regions on the Lyapunov exponent diagrams of a 4-dimensional Chua system …

Dynamics of an erbium-doped fiber dual-ring laser

TS Krüger, PC Rech - The European Physical Journal D, 2012 - Springer
We report results of a numerical investigation on two-dimensional parameter-spaces of a set
of four autonomous, seven-parameter, first-order ordinary differential equations, which …