RSS FeedNew Course: Experimental Nonlinear Dynamics set for Spring 2005
Category: Engineering News
Posted by: wea100
on Dec 6, 2004
EMch 597D is a foundational course in the experimental analysis of nonlinear dynamical systems. Students will learn about the mathematical concepts and algorithmic tools needed to characterize, analyze, model, and predict the dynamics of nonlinear systems that arise in a wide variety of contexts.
The course will begin with an introductory discussion of the nature of nonlinear systems and their origins in both engineering and nature. A summary of fundamental concepts in the statistical and spectral analysis of linear systems will be presented and will serve as the basis for our discussion of nonlinear systems. The course will then move on to cover: different notions of dimensionality; the identification of state space dimension; delay reconstruction and “embedology”; stability, local and global bifurcation, and Lyapunov exponents; attractors and their dimensions; and nonlinear modeling and forecasting.
Applications to a variety of natural and engineered systems will be presented throughout the course. The roll of experimental analysis of nonlinear systems in the modeling process will also be discussed.
The course meets MW 4:15 - 5:30 in 60 Willard Bldg. Schedule Code: 531868
For additional information contact: Professor Joseph Cusumano at jpc3@psu.edu.
The course will begin with an introductory discussion of the nature of nonlinear systems and their origins in both engineering and nature. A summary of fundamental concepts in the statistical and spectral analysis of linear systems will be presented and will serve as the basis for our discussion of nonlinear systems. The course will then move on to cover: different notions of dimensionality; the identification of state space dimension; delay reconstruction and “embedology”; stability, local and global bifurcation, and Lyapunov exponents; attractors and their dimensions; and nonlinear modeling and forecasting.
Applications to a variety of natural and engineered systems will be presented throughout the course. The roll of experimental analysis of nonlinear systems in the modeling process will also be discussed.
The course meets MW 4:15 - 5:30 in 60 Willard Bldg. Schedule Code: 531868
For additional information contact: Professor Joseph Cusumano at jpc3@psu.edu.