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 …

Quint points lattice and multistability in a damped-driven curved carbon nanotube oscillator model

C Manchein, B Fusinato, HS Chagas… - … Journal of Nonlinear …, 2023 - pubs.aip.org
Single-walled carbon nanotubes (SWCNTs) can undergo arbitrarily large nonlinear
deformations without permanent damage to the atomic structure and mechanical properties …

An investigation of the parameter space for a family of dissipative map**s

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 …

[BOOK][B] Scaling laws in dynamical systems

ED Leonel - 2021 - Springer
The main goal of this book is to present and discuss many of the common scaling properties
observed in some nonlinear dynamical systems described by map**s. The …

[HTML][HTML] Program package MPGOS: Challenges and solutions during the integration of a large number of independent ODE systems using GPUs

F Hegedűs - Communications in Nonlinear Science and Numerical …, 2021 - Elsevier
Challenges and efficient solution techniques during the integration of a large number of
independent ordinary differential equations (ODEs) using the massively parallel architecture …

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 …

Proliferation of stability in phase and parameter spaces of nonlinear systems

C Manchein, RM da Silva, MW Beims - Chaos: An Interdisciplinary …, 2017 - pubs.aip.org
In high-dimensional dynamical systems, the possibility of controlling the dynamics through
parametric changes is of great interest. Adding a time dependent parameter, it is possible to …

Extensive numerical study and circuitry implementation of the Watt governor model

DWC Marcôndes, GF Comassetto… - … Journal of Bifurcation …, 2017 - World Scientific
In this work we carry out extensive numerical study of a Watt centrifugal governor system
model, and we also implement an electronic circuit by analog computation to experimentally …

Complex dynamical behaviors of a honeybee-mite model in parameter plane

S Karmakar, N Pal - Physica D: Nonlinear Phenomena, 2024 - Elsevier
The honeybee has a significant impact on ecosystem stability, biodiversity conservation, and
pollinating crops. However, during the past few years, there has been a sharp reduction in …

Feedforward attractor targeting for non-linear oscillators using a dual-frequency driving technique

F Hegedűs, P Krähling, M Aron, W Lauterborn… - … Journal of Nonlinear …, 2020 - pubs.aip.org
A feedforward control technique is presented to steer a harmonically driven, non-linear
system between attractors in the frequency–amplitude parameter plane of the excitation. The …