معرفی
Dr Jonathan Deane is a Senior Lecturer in the School of Mathematics and Physics at the University of Surrey, affiliated with the Department of Mathematics and Statistics. His research lies at the intersection of applied mathematics, nonlinear dynamics, and mathematical physics, with strong applications in engineering and planetary science.
- Undergraduate Degree: Physics, Merton College, Oxford (1979–1982)
- PhD and Postdoctoral Research: Department of Electrical and Electronic Engineering, University of Surrey (1986–1994)
- Lecturer, University of Surrey (1994–2000)
- Senior Lecturer, Department of Mathematics and Statistics, University of Surrey (2000–present)
Jonathan Deane's research interests span a wide range of applied mathematical topics, including Poincaré inequalities, nonlinear elasticity, chaos in power electronics, triboelectric energy harvesting, and celestial mechanics. His work often combines rigorous analytical methods with numerical simulations to model complex physical phenomena. He has made significant contributions to the understanding of energy minimization in geometric mappings, cavity formation in elastic materials, and the long-term behavior of dissipative dynamical systems.
The 15 most recent publications demonstrate a consistent focus on mathematical analysis of physical systems, particularly in the areas of inequalities, variational problems, dynamical systems, and energy conversion devices. The keywords across these works reflect deep engagement with functional analysis, geometric modeling, and nonlinear dynamics. Subfields such as spin-orbit resonance, triboelectric nanogenerators, and hydrostatic pumps indicate a strong interdisciplinary orientation linking mathematics with physics and engineering.
His scientific contributions have been published in high-impact journals including:
- Proceedings of the Royal Society A
- SIAM Journal on Mathematical Analysis
- Nonlinear Differential Equations and Applications (NoDEA)
- Journal of Dynamics and Differential Equations
- IEEE Transactions on Circuits and Systems
Dr Deane has supervised and collaborated extensively, particularly with researchers such as Jonathan Bevan, Michele Bartuccelli, and Guido Gentile. His work on chaotic DC-DC converters, sigma-delta modulators, and parametric amplifiers highlights applications in power electronics and signal processing. He has also contributed to fundamental modeling in energy harvesting, providing a comprehensive framework for triboelectric nanogenerators beyond simple geometries.
He is actively involved in research groups focusing on:
- Nonlinear dynamics and chaos
- Mathematical modeling of physical systems
- Energy harvesting technologies
- Planetary spin-orbit dynamics
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