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 …

Noise-induced stabilization of the FitzHugh–Nagumo neuron dynamics: Multistability and transient chaos

C Manchein, L Santana, RM da Silva… - … Journal of Nonlinear …, 2022 - pubs.aip.org
The nonlinear dynamics of a FitzHugh–Nagumo (FHN) neuron driven by an oscillating
current and perturbed by a Gaussian noise signal with different intensities D is investigated …

Non-feedback technique to directly control multistability in nonlinear oscillators by dual-frequency driving: GPU accelerated topological analysis of a bubble in water

F Hegedűs, W Lauterborn, U Parlitz, R Mettin - Nonlinear Dynamics, 2018 - Springer
A novel method to control multistability of nonlinear oscillators by applying dual-frequency
driving is presented. The test model is the Keller–Miksis equation describing the oscillation …

Transient dynamics and multistability in two electrically interacting FitzHugh–Nagumo neurons

L Santana, RM da Silva, HA Albuquerque… - … Journal of Nonlinear …, 2021 - pubs.aip.org
We analyze the existence of chaotic and regular dynamics, transient chaos phenomenon,
and multistability in the parameter space of two electrically interacting FitzHugh–Nagumo …

Periodicity in the asymmetrical quartic map

DM Maranhão, RO Medrano-T - Chaos, Solitons & Fractals, 2024 - Elsevier
We report the dynamics of the asymmetrical quartic map, a one-dimensional discrete-time
system constructed adding one linear and one cubic term to the biquadratic form of the …

Bifurcation structure and chaos in dynamics of nanomagnet coupled to Josephson junction

M Nashaat, M Sameh, AE Botha, KV Kulikov… - … Journal of Nonlinear …, 2022 - pubs.aip.org
Irregular easy axis reorientation features are observed in numerical simulations of the
nanomagnet coupled to the Josephson junction. We study magnetization bifurcations and …

Route to shrimps: Dissipation driven formation of shrimp-shaped domains

R Varga, K Klapcsik, F Hegedűs - Chaos, Solitons & Fractals, 2020 - Elsevier
In this paper, two scenarios for the formation of shrimp-shaped domains [1] are presented.
The employed test model is the Keller–Miksis equation that is a second order, harmonically …

Logistic-like and Gauss coupled maps: The born of period-adding cascades

DR da Costa, JGS Rocha, LS de Paiva… - Chaos, Solitons & …, 2021 - Elsevier
In this paper we study a logistic-like and Gauss coupled maps to investigate the period-
adding phenomenon, where infinite sets of periodicity (p) form a sequence in planar …

Investigating the Stickiness in a Potential Well

FH Graciano, JD Szezech Jr, AM Batista… - … Journal of Bifurcation …, 2024 - World Scientific
In this work, we use the finite-time Lyapunov exponent (FTLE) for a version of the potential
well model with an oscillating bottom. This model is described by a conservative two …

Dynamic stabilization of an asymmetric nonlinear bubble oscillator

F Hegedűs, C Kalmár - Nonlinear Dynamics, 2018 - Springer
The present study focuses on the possibilities of dynamic stabilization of a gas–vapour
bubble below Blake's critical threshold (Blake in the onset of cavitation in liquids, 1949) by …