Efficient Algorithms for Visualizing Dynamical Systems
Project Description

Tools are needed to visualize, understand and then extract useful information in complex continuous dynamical systems including ocean flows, hurricane structures, flight path, gravity waves and some bio-inspired fluid flows. A lot of work in dynamical systems focuses on understanding different types of behaviors in a model, such as elliptical zones, hyperbolic trajectories, chaotic attractors, mixing regions, Poincare section, bifurcation diagram and finite time Lyapunov exponent. The aim of this project is to develop computationally efficient numerical algorithms for one or some of these visualizing tools.

Supervisor
LEUNG Shing Yu
Quota
5
Course type
UROP1100
UROP2100
UROP3100
UROP4100
Applicant's Roles

Student is expected to program in C/C++/MATLAB. Programming experience is a must.

Applicant's Learning Objectives

To have a taste of research, to experience some latest research directions, and to develop researching skills.

Complexity of the project
Moderate