Michael Small

ORCID: 0000-0001-5378-1582
Publications
Citations
Views
---
Saved
---
About
Contact & Profiles
Research Areas
  • Complex Network Analysis Techniques
  • Complex Systems and Time Series Analysis
  • Opinion Dynamics and Social Influence
  • Chaos control and synchronization
  • Nonlinear Dynamics and Pattern Formation
  • Neural dynamics and brain function
  • COVID-19 epidemiological studies
  • Neural Networks and Applications
  • Time Series Analysis and Forecasting
  • Mathematical and Theoretical Epidemiology and Ecology Models
  • Neural Networks and Reservoir Computing
  • Evolutionary Game Theory and Cooperation
  • Diabetes Management and Research
  • Mental Health Research Topics
  • Bioinformatics and Genomic Networks
  • Diabetes, Cardiovascular Risks, and Lipoproteins
  • Heart Rate Variability and Autonomic Control
  • Blood properties and coagulation
  • Sexual function and dysfunction studies
  • Neural Networks Stability and Synchronization
  • Advanced Memory and Neural Computing
  • Gene Regulatory Network Analysis
  • stochastic dynamics and bifurcation
  • Diabetes Treatment and Management
  • Diffusion and Search Dynamics

Mineral Resources
2016-2025

The University of Western Australia
2016-2025

Commonwealth Scientific and Industrial Research Organisation
2016-2025

Australian Resources Research Centre
2016-2025

University of the West Indies
2024

Shanghai Center for Brain Science and Brain-Inspired Technology
2024

Shanghai Institute for Science of Science
2024

Fudan University
2017-2024

Nanjing University
2020-2022

Curtin University
2021

We construct complex networks from pseudoperiodic time series, with each cycle represented by a single node in the network. investigate statistical properties of these for various series and find that different dynamics exhibit distinct topological structures. Specifically, noisy periodic signals correspond to random networks, chaotic generate small world scale free features. show this distinction structure results hierarchy unstable orbits embedded attractor. Standard measures can therefore...

10.1103/physrevlett.96.238701 article EN Physical Review Letters 2006-06-14

We introduce a transformation from time series to complex networks and then study the relative frequency of different subgraphs within that network. The distribution can be used distinguish between characterize types continuous dynamics: periodic, chaotic, periodic with noise. Moreover, although general dynamics generate belonging same superfamily networks, specific dynamical systems characteristic dynamics. When applied discrete (map-like) data this technique distinguishes chaotic maps,...

10.1073/pnas.0806082105 article EN Proceedings of the National Academy of Sciences 2008-12-09

Revealing complicated behaviors from time series constitutes a fundamental problem of continuing interest and it has attracted great deal attention wide variety fields on account its significant importance. The past decade witnessed rapid development complex network studies, which allow to characterize many types systems in nature technology that contain large number components interacting with each other manner. Recently, the theory been incorporated into analysis fruitful achievements have...

10.1209/0295-5075/116/50001 article EN EPL (Europhysics Letters) 2016-12-01

Complex networks are an important paradigm of modern complex systems sciences which allows quantitatively assessing the structural properties composed different interacting entities. During last years, intensive efforts have been spent on applying network-based concepts also for analysis dynamically relevant higher-order statistical time series. Notably, many corresponding approaches closely related with concept recurrence in phase space. In this paper, we review recent methodological...

10.1142/s0218127411029021 article EN International Journal of Bifurcation and Chaos 2011-04-01

We explore the impact of awareness on epidemic spreading through a population represented by scale-free network. Using network mean-field approach, mathematical model for with reactions is proposed and analyzed. focus role three forms including local, global, contact awareness. By theoretical analysis simulation, we show that global cannot decrease likelihood an outbreak while both local can. Also, influence degree disease dynamics closely related

10.1063/1.3673573 article EN Chaos An Interdisciplinary Journal of Nonlinear Science 2012-01-03

No AccessJournal of Urology1 Feb 1974Periurethral Teflon Injection for Urinary Incontinence Victor A. Politano, Michael P. Small, John M. Harper, and Charles Lynne PolitanoVictor Politano , SmallMichael Small HarperJohn Harper LynneCharles View All Author Informationhttps://doi.org/10.1016/S0022-5347(17)59921-8AboutPDF ToolsAdd to favoritesDownload CitationsTrack CitationsPermissionsReprints ShareFacebookLinked InTwitterEmail © 1974 by The American Urological Association Education Research,...

10.1016/s0022-5347(17)59921-8 article EN The Journal of Urology 1974-02-01

We examine epidemic thresholds for disease spread using susceptible-infected-susceptible models on scale-free networks with variable infectivity. Infectivity between nodes is modeled as a piecewise linear function of the node degree (rather than less realistic transformation considered previously). With this nonlinear infectivity, we derive conditions threshold to be positive. The effects various immunization schemes including ring and targeted vaccination are studied compared. find that...

10.1103/physreve.77.036113 article EN Physical Review E 2008-03-12

Free radical activity has been implicated in the development of diabetic vascular complications Type 1 diabetes. The aim present study was to investigate levels free scavengers, particularly erythrocyte superoxide dismutase, plasma and lysate thiol, caeruloplasmin 22 2 patients clinically complications, 15 comparable non‐diabetic control subjects. concentration (median (range)) both dismutase (23 (10–39) vs 45 (25–75) μmol I −1 ; p < 0.001) thiol (374 (172–523) 460 (386–595) 0.01) were...

10.1111/j.1464-5491.1990.tb01302.x article EN Diabetic Medicine 1990-01-01

We investigate a generalised version of the recently proposed ordinal partition time series to network transformation algorithm. First, we introduce fixed lag for elements each that is selected using techniques from traditional delay embedding. The resulting partitions define regions in embedding phase space are mapped nodes space. Edges allocated between based on temporal succession thus creating Markov chain representation series. then apply this new algorithm generated by Rössler system...

10.1063/1.4919075 article EN Chaos An Interdisciplinary Journal of Nonlinear Science 2015-05-01

It is commonly believed that epidemic spreading on scale-free networks difficult to control and the disease can spread even with a low infection rate, lacking an threshold. In this paper, we study complex under framework of game theory, in which voluntary vaccination strategy incorporated. particular, individuals face 'dilemma' vaccination: they have decide whether or not vaccinate according trade-off between risk side effects cost vaccination. Remarkably quite excitingly, find outbreak be...

10.1088/1367-2630/12/2/023015 article EN cc-by New Journal of Physics 2010-02-11

Spontaneous explosive emergent behavior takes place in heterogeneous networks when the frequencies of nodes are positively correlated to node degree. A central feature such transitions is a hysteretic at transition synchronization. We unravel underlying mechanisms and show that dynamical origin hysteresis change basin attraction synchronization state. Our findings hold for with star graph motifs as scale-free networks, hence, reveal how microscopic network parameters degree frequency affect...

10.1103/physrevlett.112.114102 article EN Physical Review Letters 2014-03-18

Recent advances have demonstrated the effectiveness of a machine-learning approach known as "reservoir computing" for model-free prediction chaotic systems. We find that well-trained reservoir computer can synchronize with its learned systems by linking them common signal. A necessary condition achieving this synchronization is negative values sub-Lyapunov exponents. Remarkably, we show sending just scalar signal, one achieve synchronism in trained computers and cascading among their fitted...

10.1103/physreve.99.042203 article EN Physical review. E 2019-04-05

A growing number of algorithms have been proposed to map a scalar time series into ordinal partition transition networks. However, most observable phenomena in the empirical sciences are multivariate nature. We construct networks for series. This approach yields weighted directed representing pattern properties velocity space, which hence provides dynamic insights underling system. Furthermore, we propose measure entropy characterize dynamics, is sensitive capturing possible local geometric...

10.1038/s41598-017-08245-x article EN cc-by Scientific Reports 2017-08-04

Delay embedding methods are a staple tool in the field of time series analysis and prediction. However, selection parameters can have big impact on resulting analysis. This has led to creation large number optimise such as lag. paper aims provide comprehensive overview fundamentals theory for readers who new subject. We outline collection existing selecting lag both uniform non-uniform delay cases. Highlighting poor dynamical explainability lags, we an alternative method lags that includes...

10.1063/5.0137223 article EN cc-by Chaos An Interdisciplinary Journal of Nonlinear Science 2023-03-01

Searching for key nodes and edges in a network is long-standing problem. Recently cycle structure has received more attention. Is it possible to propose ranking algorithm importance? We address the problem of identifying cycles network. First, we provide concrete definition importance-in terms Fiedler value (the second smallest Laplacian eigenvalue). Key are those that contribute most substantially dynamical behavior Second, by comparing sensitivity different cycles, neat index provided....

10.1103/physrevlett.130.187402 article EN Physical Review Letters 2023-05-02

Abstract Cascade prediction aims to estimate the popularity of information diffusion in complex networks, which is beneficial many applications from identifying viral marketing fake news propagation social media, estimating scientific impact (citations) a new publication, and so on. How effectively predict cascade growth size has become significant problem. Most previous methods based on deep learning have achieved remarkable results, while concentrating mining structural temporal features...

10.1088/1367-2630/ad1b29 article EN cc-by New Journal of Physics 2024-01-01

For time series exhibiting strong periodicities, standard (linear) surrogate methods are not useful. We describe a new algorithm that can test against the null hypothesis of periodic orbit with uncorrelated noise. demonstrate application this method to artificial data and experimental series, including human electrocardiogram recordings during sinus rhythm ventricular tachycardia.

10.1103/physrevlett.87.188101 article EN Physical Review Letters 2001-10-16

We model transmission of the Severe Acute Respiratory Syndrome (SARS) associated coronavirus (SARS-CoV) in Hong Kong with a complex small world network. Each node network is connected to its immediate neighbors and random number geographically isolated nodes. Transmission can only occur along these links. find that this exhibits dynamics very similar those observed during SARS outbreak 2003. derive an analytic expression for rate infection confirm computational simulations. An consequence...

10.1142/s0218127405012776 article EN International Journal of Bifurcation and Chaos 2005-05-01
Coming Soon ...