Research Output per year

## 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 - 2009 | Postdoctoral 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

### 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-review › Article

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, 022002Research output: Research - peer-review › Article

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, 012218Research output: Research - peer-review › Article

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, 20161970Research output: Research - peer-review › Article

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, 094601Research output: Research - peer-review › Article

Synchronization

synchronism

Surge

Coupled System

Asymmetry