Personal profile

Research Interests

The focus is on several broad scientific interests ranging from coupled oscillators to mathematical geoscience to the physics of social systems. I try to approach these wide-ranging problems by creating greatly simplified mathematical models where rigorous analysis is possible, hopefully capturing some essential properties of the system. The work in different fields is generally connected by similar mathematical techniques drawn from the study of nonlinear dynamics.

Training Experience

2006 - 2009Postdoctoral Research Fellow, Mathematical Sciences at Massachusetts Institute of Technology. Department of Earth, Atmospheric and Planetary Sciences


  • Nonlinear dynamics
  • Pattern formation
  • Mathematical models of social systems
  • Coupled oscillators
  • Physics of social systems
  • Dynamics on networks
  • Chimera states
  • Synchronization
  • Complex systems
  • Mathematical geoscience

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

  • 1 Similar Profiles
oscillators Physics & Astronomy
Coupled Oscillators Mathematics
incoherence Physics & Astronomy
broken symmetry Physics & Astronomy
mathematical models Physics & Astronomy
Theoretical Models Medicine & Life Sciences
synchronism Physics & Astronomy
Oscillation Mathematics

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Research Output 2003 2018

  • 1787 Citations
  • 28 Article
  • 1 Conference contribution
  • 1 Comment/debate
  • 1 Other contribution

Next steps for modelling the evolution of ornamental signals

Clifton, S. M., Braun, R. I. & Abrams, D. M. Jan 1 2018 (Accepted/In press) In : Animal Behaviour.

Research output: Contribution to journalArticle

sexual selection
mathematical models

The tipping point: A mathematical model for the profit-driven abandonment of restaurant tipping

Clifton, S. M., Herbers, E., Chen, J. & Abrams, D. M. Feb 1 2018 In : Chaos. 28, 2, 023109

Research output: Contribution to journalArticle

mathematical models
Mathematical Model
Mathematical models

Hybrid Statistical and Mechanistic Mathematical Model Guides Mobile Health Intervention for Chronic Pain

Clifton, S. M., Kang, C., Li, J. J., Long, Q., Shah, N. & Abrams, D. M. Jul 1 2017 In : Journal of Computational Biology. 24, 7, p. 675-688 14 p.

Research output: Contribution to journalArticle

Chronic Pain
Theoretical Models

The statistical mechanics of human weight change

Lang, J. C., De Sterck, H. & Abrams, D. M. Dec 1 2017 In : PLoS ONE. 12, 12, e0189795

Research output: Contribution to journalArticle

Statistical mechanics
body mass index
Body Mass Index
16 Citations

Basins of attraction for chimera states

Martens, E. A., Panaggio, M. J. & Abrams, D. M. Feb 18 2016 In : New Journal of Physics. 18, 2, 022002

Research output: Contribution to journalArticle

broken symmetry