Alan Champneys

12.7k citations
248 papers · 10.0k · 4 hit papers · h-index 45

Impact in

    • Quantum chaos and dynamical systems
    • Chaos control and synchronization
    • Nonlinear Photonic Systems
    • Nonlinear Waves and Solitons
    • stochastic dynamics and bifurcation
    • Advanced Differential Equations and Dynamical Systems

Papers in

Alan Champneys

237 papers receiving 9.5k citations

Alan Champneys's Hit Papers

Bifurcations in Nonsmooth Dynamical Systems 2008 · 308 citations
3080+9+19Years since publication4008001.2k

Peers

Alan Champneys
Comparison fields: 5 of 191
  • Statistical and Nonlinear Physics 4.1k
  • Geometry and Topology 1.6k
  • Computer Networks and Communications 2.9k
  • Control and Systems Engineering 2.1k
  • Numerical Analysis 332
Replace Bernd Krauskopf with:
Bernd Krauskopf United Kingdom
Yuri A. Kuznetsov Russia
Stephen Wiggins United States
Björn Sandstede United States
Ferdinand Verhulst Netherlands
Gérard Iooss France
Eusebius J. Doedel Canada
David G. Schaeffer United States
Chris Budd United Kingdom
Alexander Mielke Germany
Alan Champneys relative to Bernd Krauskopf United Kingdom Bernd Krauskopf's profile →
Citations per field
00.5×1.5×2.2×
Bernd Krauskopf · 1×
Citations per year

Countries citing papers authored by Alan Champneys

Since Specialization
Citations

This map shows the geographic impact of Alan Champneys'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 Alan Champneys with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Alan Champneys more than expected).

Fields of papers citing papers by Alan Champneys

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Alan Champneys. 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 Alan Champneys. The network helps show where Alan Champneys may publish in the future.

Co-authors

The 25 scholars most cited alongside Alan Champneys, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.

Border = papers with Alan Champneys Line = papers co-authored together Alan Champneys links everyone, so they are left out of the graph.

All Works

20 of 20 papers shown

Showing the 20 most-cited of 248 papers — load more, or switch the sort, to bring in the rest.

#Work
1
AUTO-07p: Continuation and bifurcation software for ordinary differential equations
Hit paper breakdown →
20071299
2
Piecewise-smooth Dynamical Systems: Theory and Applications
Hit paper breakdown →
20071043
3
AUTO 2000 : CONTINUATION AND BIFURCATION SOFTWARE FOR ORDINARY DIFFERENTIAL EQUATIONS (with HomCont)
Hit paper breakdown →
1997481
4
Bifurcations in Nonsmooth Dynamical Systems
Hit paper breakdown →
2008308
5 2008247
6 1999225
7 1998215
8 2000200
9 2001168
10 1996155
11 2019155
12 2008153
13 2001146
14 1994132
15 2002125
16 1996119
17 1998118
18 1996107
19 2001101
20 199396

About Alan Champneys

Alan Champneys is a scholar working on Statistical and Nonlinear Physics, Computer Networks and Communications, Control and Systems Engineering, Mechanical Engineering and Atomic and Molecular Physics, and Optics, having authored 248 papers that have together received 10.0k indexed citations. Recurring topics across this work include Nonlinear Dynamics and Pattern Formation (65 papers), Nonlinear Photonic Systems (36 papers), Quantum chaos and dynamical systems (34 papers), Vibration and Dynamic Analysis (32 papers), Nonlinear Waves and Solitons (31 papers), Chaos control and synchronization (29 papers), Advanced Differential Equations and Dynamical Systems (27 papers) and Advanced Fiber Laser Technologies (22 papers). The work is most often cited by research in Statistical and Nonlinear Physics (4.1k citations), Geometry and Topology (1.6k citations), Computer Networks and Communications (2.9k citations), Control and Systems Engineering (2.1k citations) and Numerical Analysis (332 citations). Alan Champneys has collaborated with scholars based in United Kingdom, United States and Australia. Frequent co-authors include Mario di Bernardo, Chris Budd, Yuri A. Kuznetsov, Piotr Kowalczyk, Eusebius J. Doedel, Björn Sandstede, Bart E. Oldeman, Randy Paffenroth, Fabio Dercole and Gabriel J. Lord. Their work appears in journals such as Physica D Nonlinear Phenomena, SIAM Journal on Applied Dynamical Systems, Proceedings of the Royal Society A Mathematical Physical and Engineering Sciences, Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences and Nonlinearity.

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.

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