Research Output per year

## Personal profile

### Roles and responsibilities

I am interested in complex systems and how understanding of complexity can help solve real engineering problems. My undergraduate degree was in pure mathematics (with an honours dissertation in the history of mathematics) and my graduate degree was in applied mathematics (in nonlinear dynamical systems and nonlinear time series analysis). I have since moved through financial modelling and computational physics and spent more than 10 years working in an electronic and information engineering department. My interests are in diverse applications of complex systems science, and are therefore inherently inter-disciplinary and multi disciplinary. I have applied myself to a wide range of applications: physiological (neurophysiology, epidemiology, respiration and cardiology), biological, financial, mechanical, and engineering.

In 2011, I was awarded a Professorial Future Fellowship from the Australian Research Council and took up a position with the School of Mathematics and Statistics, at The University of Western Australia. In 2015, I was appointed as the CSIRO-UWA Chair in Complex Engineering Systems. I see this position as an exciting opportunity to combine theory and engineering practice and a chance to cement my position at the nexus between applied mathematics, industry focussed research and industrial application. I am working on developing the foundation of complex systems science and seeking applications in engineering problems, particularly for remote operations in the energy and resources sectors.

### Previous positions

Department of Electronic and Informaation Engineering, Hong Kong Polytechnic University, 2001-2011

Department of Physics, Heriot-Watt University, 1999-2001

Department of Mathematics, Stellenbosch University, 1998

### Education/Academic qualification

Applied Mathematics, PhD, The University of Western Australia

Pure Mathematics, BSc(Hons), The University of Western Australia

### Keywords

- Complex systems
- Complex networks
- Non-linear dynamics
- Non-linear time series analysis and modelling
- Biological applications (e.g. disease transmission, neurodynamics, systems biology)
- Mathematics of gambling
- Complex data modelling

## Fingerprint Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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## Research Output 1997 2019

## Comparing capability of scenario hazard identification methods by the PIC (Plant-People-Procedure Interaction Contribution) network metric

Seligmann, B. J., Zhao, J., Marmara, S. G., Corbett, T. C., Small, M., Hassall, M. & Boadle, J. T., 1 Feb 2019, In : Safety Science. 112, p. 116-129 14 p.Research output: Contribution to journal › Article

## Consistency in echo-state networks

Lymburn, T. M., Khor, A. J., Stemler, T., Correa, D., Small, M. & Jungling, T., 11 Feb 2019, In : Chaos: an interdisciplinary journal of nonlinear science. 29, 2, p. 1-9 9 p., 023118.Research output: Contribution to journal › Article

## From Flocs to Flocks

Algar, S. D., Stemler, T. & Small, M., 2019,*MATHEMATICAL MODELING APPROACH FROM NONLINEAR DYNAMICS TO COMPLEX SYSTEMS.*Macau, EEN. (ed.). Springer International Publishing AG, p. 157-175 19 p. (Nonlinear Systems and Complexity; vol. 22).

Research output: Chapter in Book/Conference paper › Chapter

## Long-range correlation properties of stationary linear models with mixed periodicities

Nakamura, T., Small, M. & Tanizawa, T., 19 Feb 2019, In : Physical Review E. 99, 2, 6 p., 022128.Research output: Contribution to journal › Article

## Reconstruction of Complex Dynamical Systems from Time Series using Reservoir Computing

Jüngling, T., Lymburn, T., Stemler, T., Corrêa, D., Walker, D. & Small, M., 1 May 2019,*2019 IEEE International Symposium on Circuits and Systems, ISCAS 2019 - Proceedings.*IEEE, Institute of Electrical and Electronics Engineers, 8702137. (Proceedings - IEEE International Symposium on Circuits and Systems; vol. 2019-May).

Research output: Chapter in Book/Conference paper › Conference paper

## Datasets

## Projects 2011 2023

## ARC Training Centre for Transforming Maintenance through Data Science

Small, M., Hodkiewicz, M., Reynolds, M., Liu, W., While, R., French, T., Cripps, E., Cardell-Oliver, R., Rohl, A., Loxton, R., O'Halloran, K., Calo, V. & Tan, T.

Curtin University of Technology

1/01/19 → 31/12/23

Project: Research

## Navigating tipping points in complex dynamical systems

Small, M., Lesterhuis, W., Bosco, A. & Zaitouny, A.

1/01/18 → 31/12/20

Project: Research

## Quantifying complexity and measuring structure within complex systems

1/01/14 → 31/12/16

Project: Research

## Control Points in Nitrogen Uptake - Enhancing the Response of Cereals to Nitrogen Supply and Demand

Small, M., Garnett, T., Heuer, S., Roessner, U., Gupta, R. & Kuchel, H.

1/01/14 → 31/12/16

Project: Research

## Complex Dynamical Systems - Inferring Form & Function of Interacting Biological Systems

1/01/11 → 31/12/14

Project: Research