A new model of variable-length coupled pendulums: from hyperchaos to superintegrability

W Szumiński - Nonlinear Dynamics, 2024 - Springer
This paper studies the dynamics and integrability of a variable-length coupled pendulum
system. The complexity of the model is presented by joining various numerical methods …

Dynamics and non-integrability of the double spring pendulum

W Szumiński, AJ Maciejewski - Journal of Sound and Vibration, 2024 - Elsevier
This paper investigates the dynamics and integrability of the double spring pendulum, which
has great importance in studying nonlinear dynamics, chaos, and bifurcations. Being a …

Networks of Pendula with Diffusive Interactions

R Bonetto, H Jardón-Kojakhmetov, C Kuehn - arXiv preprint arXiv …, 2024 - arxiv.org
We study a system of coupled pendula with diffusive interactions, which could depend both
on positions and on momenta. The coupling structure is defined by an undirected network …

Numerical simulation and geometrical analysis on the onset of chaos in a system of two coupled pendulums

HN Huynh, TPT Nguyen, LY Chew - Communications in Nonlinear Science …, 2013 - Elsevier
By means of two geometrical approaches:(i) the potential landscape, and (ii) the
Hamiltonian manifold method, we have found the relations that predict the transition to …

Dynamics and integrability analysis of two pendulums coupled by a spring

W Szumiński, D Woźniak - … in Nonlinear Science and Numerical Simulation, 2020 - Elsevier
We consider a system of two simple pendulums, which interact by elastic forces according to
Hooke's law in the presence of the gravitational field. Analysis of global dynamics of the …

Deciphering Complexity: Machine Learning Insights into Chaotic Dynamical Systems

L Osmanov - arXiv preprint arXiv:2408.02005, 2024 - arxiv.org
We introduce new machine-learning techniques for analyzing chaotic dynamical systems.
The primary objectives of the study include the development of a new and simple method for …

Стабильность связанных маятников

МА Гузев, АА Дмитриев - Дальневосточный математический журнал, 2015 - mathnet.ru
Рассматривается система двух связанных маятников и модифицированная система
маятников, стержни которых пересекаются и скользят без трения друг относительно …

Regular and chaotic motion of two bodies swinging on a rod

L Osmanov, R Khomeriki - The European Physical Journal B, 2022 - Springer
We investigate regular and chaotic dynamics of two bodies swinging on a rod, which differs
from all the other mechanical analogies: depending on initial conditions, its oscillation could …

Analysis on the risk of personal cloud computing based on the cloud industry chain

X XIE, Y ZHAO - The Journal of China Universities of Posts and …, 2013 - Elsevier
This paper reviews the literature about cloud computing, and establishes a framework for
industry chain of personal cloud computing which is based on the current cloud industry …

Collective dynamics in a non-dissipative two-coupled pendulum system

ZC Chen, B Li, HB Qiu, XQ Xi - Chinese Physics B, 2014 - iopscience.iop.org
We study the collective dynamics of a non-dissipative two-coupled pendulum system,
including phase synchronization (PS) and measure synchronization (MS). We find that as …