Time lagged ordinal partition networks for capturing dynamics of continuous dynamical systems

M McCullough, M Small, T Stemler… - Chaos: An Interdisciplinary …, 2015 - pubs.aip.org
We investigate a generalised version of the recently proposed ordinal partition time series to
network transformation algorithm. First, we introduce a fixed time lag for the elements of …

Single and multiple vibrational resonance in a quintic oscillator with monostable potentials

S Jeyakumari, V Chinnathambi, S Rajasekar… - Physical Review E …, 2009 - APS
We analyze the occurrence of vibrational resonance in a damped quintic oscillator with three
cases of single well of the potential V (x)= 1 2 ω 0 2 x 2+ 1 4 β x 4+ 1 6 γ x 6 driven by both …

Analysis of vibrational resonance in a quintic oscillator

S Jeyakumari, V Chinnathambi, S Rajasekar… - … Journal of Nonlinear …, 2009 - pubs.aip.org
We consider a damped quintic oscillator with double-well and triple-well potentials driven by
both low-frequency force f cos ω t and high-frequency force g cos Ω t with Ω⪢ ω and analyze …

Networked dynamical systems with linear coupling: synchronisation patterns, coherence and other behaviours

K Judd - Chaos: An Interdisciplinary Journal of Nonlinear …, 2013 - pubs.aip.org
Many physical and biochemical systems are well modelled as a network of identical non-
linear dynamical elements with linear coupling between them. An important question is how …

Stochastic modelling of intermittency

T Stemler, JP Werner, H Benner… - … Transactions of the …, 2010 - royalsocietypublishing.org
Recently, methods have been developed to model low-dimensional chaotic systems in
terms of stochastic differential equations. We tested such methods in an electronic circuit …

[HTML][HTML] Nonlinear Resonance in a Position-Dependent Mass-Duffing Oscillator System with Monostable Potentials Driven by an Amplitude-Modulated Signal

KS Kannan, SMA Kader, V Chinnathambi… - Russian Journal of …, 2023 - cyberleninka.ru
This study examines the phenomenon of vibrational resonance (VR) in a classical
positiondependent mass (PDM) system characterized by three types of single-well …

Stochastic dynamics in coupled bistable systems with applications to sensor devices

JL Aven - 2010 - search.proquest.com
Coupled interactions between otherwise independently evolving dynamical systems have
been a core line of research in Nonlinear Dynamical Systems for the better part of the last …

Nonlinear time series analysis using ordinal networks with select applications in biomedical signal processing

MH McCullough - Bulletin of the Australian Mathematical Society, 2019 - cambridge.org
Over the past ten years, there have emerged numerous network-based methods for the
analysis of nonlinear time series which provide novel and alternative means of extracting …

[PDF][PDF] Duffing 系统随机相位抑制混沌与随机共振并存现象的机理研究

**爽, **倩, **佼瑞 - 物理学报, 2015 - wulixb.iphy.ac.cn
针对随机相位作用的Duffing 混沌系统, 研究了随机相位**度变化时系统混沌动力学的演化行为
及伴随的随机共振现象. 结合Lyapunov 指数, 庞加莱截面, 相图, 时间历程图, 功率谱等工具 …

Stochastic Multiresonance in an Electronic Chaotic Circuit

T Stemler, JP Werner, H Benner - International Journal of …, 2014 - World Scientific
Methods to estimate the amplification by stochastic resonance are tested in an electronic
circuit experiment showing chaotic dynamics. We demonstrate that the linear response …