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

Keywords

  • 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 person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

  • 3 Similar Profiles
oscillators Physics & Astronomy
Coupled Oscillators Mathematics
predictions Physics & Astronomy
broken symmetry Physics & Astronomy
Theoretical Models Medicine & Life Sciences
Oscillation Mathematics
synchronism Physics & Astronomy
simulation Physics & Astronomy

Network Recent external collaboration on country level. Dive into details by clicking on the dots.

Research Output 2003 2017

  • 1615 Citations
  • 25 Article
  • 1 Conference contribution
  • 1 Comment/debate
  • 1 Other contribution

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: Research - peer-reviewArticle

Pain
Health
Mathematical Model
Telemedicine
Chronic Pain
11 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: Research - peer-reviewArticle

attraction
twisting
broken symmetry
switches
oscillators
16 Citations

Chimera states in networks of phase oscillators: The case of two small populations

Panaggio, M. J., Abrams, D. M., Ashwin, P. & Laing, C. R. Jan 28 2016 In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 93, 1, 012218

Research output: Research - peer-reviewArticle

oscillators
Continuum Limit
continuums
Coupled Oscillators
Periodic Orbits

Handicap principle implies emergence of dimorphic ornaments

Clifton, S. M., Braun, R. I. & Abrams, D. M. Nov 30 2016 In : Proceedings of the Royal Society B: Biological Sciences. 283, 1843, 20161970

Research output: Research - peer-reviewArticle

Marriage
Theoretical Models
Observation
handicap principle
Animals
4 Citations

Introduction to focus issue: Patterns of network synchronization

Abrams, D. M., Pecora, L. M. & Motter, A. E. Sep 1 2016 In : Chaos. 26, 9, 094601

Research output: Research - peer-reviewArticle

Synchronization
synchronism
Surge
Coupled System
Asymmetry