Bifurcation, chaos, multistability, and organized structures in a predator–prey model with vigilance

M Hossain, S Garai, S Jafari, N Pal - Chaos: An Interdisciplinary …, 2022 - pubs.aip.org
There is not a single species that does not strive for survival. Every species has crafted
specialized techniques to avoid possible dangers that mostly come from the side of their …

Discrete one-dimensional piecewise chaotic systems without fixed points

M Lawnik, L Moysis, MS Baptista, C Volos - Nonlinear Dynamics, 2024 - Springer
This paper presents a new method of generating chaotic maps that do not have fixed points.
The method uses an appropriate transformation of functions defined on the unit square in …

Identifying complex periodic windows in continuous-time dynamical systems using recurrence-based methods

Y Zou, RV Donner, JF Donges, N Marwan… - … Journal of Nonlinear …, 2010 - pubs.aip.org
The identification of complex periodic windows in the two-dimensional parameter space of
certain dynamical systems has recently attracted considerable interest. While for discrete …

Self-similar structures in a 2D parameter-space of an inductorless Chua's circuit

HA Albuquerque, RM Rubinger, PC Rech - Physics Letters A, 2008 - Elsevier
In a 2D parameter-space of an inductorless Chua's circuit model, we carried out numerical
investigations and observed self-similar stability structures embedded in a sea of chaos …

Structure of parameter space of a three-species food chain model with immigration and emigration

M Hossain, R Kumbhakar, N Pal, J Kurths - Nonlinear Dynamics, 2023 - Springer
Migration is a natural behavior and an integral part of many species' life cycles. Although
most commonly found in many species of mammals and birds, it also occurs in several other …

Shrimps: occurrence, scaling and relevance

R Stoop, S Martignoli, P Benner, RL Stoop… - International Journal of …, 2012 - World Scientific
Shrimps are islands of periodicity within a chaotic sea in phase and parameter spaces of
dimensions larger than one. Islands of different periodicities have recently been shown to be …

An investigation of the parameter space for a family of dissipative mappings

JA De Oliveira, LT Montero, DR Da Costa… - … Journal of Nonlinear …, 2019 - pubs.aip.org
The parameter plane investigation for a family of two-dimensional, nonlinear, and area
contracting map is made. Several dynamical features in the system such as tangent, period …

[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 …

[HTML][HTML] The role of extreme orbits in the global organization of periodic regions in parameter space for one dimensional maps

DR Da Costa, M Hansen, G Guarise, RO Medrano-T… - Physics Letters A, 2016 - Elsevier
We show that extreme orbits, trajectories that connect local maximum and minimum values
of one dimensional maps, play a major role in the parameter space of dissipative systems …

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 …