Exploring the Limitations of Symbolic Analysis to Validate a Dynamical Model

Presenter Information

Jamal Saeed, Minnesota State University, Mankato

Location

CSU Ballroom

Start Date

2-4-2019 10:00 AM

End Date

2-4-2019 11:30 AM

Student's Major

Physics and Astronomy

Student's College

Science, Engineering and Technology

Mentor's Name

Jorge Mendez

Mentor's Department

Physics and Astronomy

Mentor's College

Science, Engineering and Technology

Description

Modeling complex systems from first principles could be a tantalizing task. Dynamical models of natural phenomena offer an alternative way of describing the time evolution of a system, and to capture the qualitatively different behaviors display by the system. Once a dynamical model is put forward, it is important to validate its representation of the phenomena. In the study of the dynamics of a semiconductor laser with optical feedback, a method to validate or refute a model relying on a symbolic analysis of its dynamics has been used. This laser system displays very rich and complex dynamics, expanding from excitable dynamics to chaotic dynamics. Furthermore, a simple dynamical model to describe its behavior has been proposed. In this study, we take a deep look at the uses and limitations of using ordinal time series analysis (symbolic analysis) to study the validity of a model. In particular, we focus our study on the proposed dynamical model to represent the behavior of a semiconductor laser with optical feedback as a test bench.