Chaotic dynamics in a Complex Network
Project Description

Nonlinear Oscillators in a complex network will be analyzed both mathematically and numerically to relate the spectral properties of the system with the topology of the network. Coherence of the oscillators, such as the model of Kuromoto, will be analysed.

Supervisor
SZETO Kwok Yip
Quota
2
Course type
UROP1000
UROP1100
UROP2100
UROP3100
UROP4100
Applicant's Roles

Making use of basic knowledge in physics and mathematics, together with computer programming, the applicant will analyze the relation of the spectral properties of the oscillators and the topology of the network. Practical applications may be conducted near the end of the project.

Applicant's Learning Objectives

1. Learn to analyze simple oscillators on a regular graph
2. Extend the analysis to complex network
3. Application to real networks

Complexity of the project
Challenging