Ian Melbourne
Impact in
- Statistical and Nonlinear Physics top 0.2%
- Chaos control and synchronization
- Quantum chaos and dynamical systems
- stochastic dynamics and bifurcation
- Mathematical Physics top 0.5%
- Mathematical Dynamics and Fractals
- Stochastic processes and statistical mechanics
Papers in
-
- Mathematical Dynamics and Fractals 70
- Stochastic processes and statistical mechanics 18
- advanced mathematical theories 8
-
- Quantum chaos and dynamical systems 54
- Chaos control and synchronization 19
- Co-authors
- Georg A. GottwaldMatthew NicolMartin KrupaMartin GolubitskyAndrei TörökPascal ChossatPeter AshwinDavid Kelly
- Journals
- Nonlinearity (16 papers)Ergodic Theory and Dynamical Systems (12 papers)Transactions of the American Mathematical Society (5 papers)Archive for Rational Mechanics and Analysis (5 papers)Annales de l Institut Henri Poincaré Probabilités et Statistiques (4 papers)
- Partner nations
- United KingdomUnited StatesAustralia
In The Last Decade
Ian Melbourne
103 papers receiving 3.1k citations
Hit Papers
Peers
Comparison fields: 5 of 98
- Statistical and Nonlinear Physics 1.9k
- Mathematical Physics 1.0k
- Geometry and Topology 410
- Computer Networks and Communications 1.1k
- Modeling and Simulation 150
Countries citing papers authored by Ian Melbourne
This map shows the geographic impact of Ian Melbourne's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Ian Melbourne with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Ian Melbourne more than expected).
Fields of papers citing papers by Ian Melbourne
This network shows the impact of papers produced by Ian Melbourne. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Ian Melbourne. The network helps show where Ian Melbourne may publish in the future.
Co-authorship network
The 25 scholars most cited alongside Ian Melbourne, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
| # | Work | ||
|---|---|---|---|
| 1 | 2024 | 0 | |
| 2 | 2024 | 1 | |
| 3 | 2023 | 1 | |
| 4 | 2019 | 1 | |
| 5 | 2018 | 1 | |
| 6 | 2017 | 39 | |
| 7 | 2017 | 4 | |
| 8 | On the detection of superdiffusive behaviour in time series
\n | 2016 | 3 |
| 9 | 2016 | 8 | |
| 10 | 2008 | 48 | |
| 11 | 2007 | 3 | |
| 12 | 2004 | 14 | |
| 13 | 2003 | 15 | |
| 14 | 1999 | 24 | |
| 15 | 1997 | 23 | |
| 16 | 1994 | 7 | |
| 17 | 1993 | 47 | |
| 18 | 1991 | 60 | |
| 19 | 1991 | 53 | |
| 20 | 1986 | 13 |
About Ian Melbourne
Ian Melbourne is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics, Geometry and Topology, Computer Networks and Communications and Finance, having authored 106 papers that have together received 3.3k indexed citations. Recurring topics across this work include Mathematical Dynamics and Fractals (70 papers), Quantum chaos and dynamical systems (54 papers), Nonlinear Dynamics and Pattern Formation (37 papers), Chaos control and synchronization (19 papers), Advanced Differential Equations and Dynamical Systems (18 papers), Stochastic processes and statistical mechanics (18 papers), advanced mathematical theories (8 papers) and Stochastic processes and financial applications (8 papers). The work is most often cited by research in Statistical and Nonlinear Physics (1.9k citations), Mathematical Physics (1.0k citations), Geometry and Topology (410 citations), Computer Networks and Communications (1.1k citations) and Modeling and Simulation (150 citations). Ian Melbourne has collaborated with scholars based in United Kingdom, United States and Australia. Frequent co-authors include Georg A. Gottwald, Matthew Nicol, Martin Krupa, Martin Golubitsky, Andrei Török, Pascal Chossat, Peter Ashwin, David Kelly, Michael Dellnitz and Michael Field. Their work appears in journals such as Nonlinearity, Ergodic Theory and Dynamical Systems, Transactions of the American Mathematical Society, Archive for Rational Mechanics and Analysis and Annales de l Institut Henri Poincaré Probabilités et Statistiques.
Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.