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 …
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 …
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
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 …
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 four-dimensional four-parameter Chua model with cubic nonlinearity is studied applying
numerical continuation and numerical solutions methods. Regarding numerical solution …
numerical continuation and numerical solutions methods. Regarding numerical solution …
Characterization in bi-parameter space of a non-ideal oscillator
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 …
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
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 …
windows are immersed in chaotic regions. For two of these oscillators, namely, Duffing and …
Topological changes in periodicity hubs of dissipative systems
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 …
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 …
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 …
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 …
of four autonomous, seven-parameter, first-order ordinary differential equations, which …