Dynamic Systems, Acoustics, and Vibrations

Dynamic Systems

We are analytically and numerically studying nonlinear effects in satellite attitude dynamics.

Our numerical work has involved the integration of the equations of motion for damped, nonautonomously perturbed single-body spacecraft. We are computing trajectories in phase space, Lyapunov exponents, fast Fourier transforms, stable and unstable manifolds, Poincare maps, bifurcation diagrams, and cell-maps for these systems.

Analytically, we are applying Melnikov’s method and perturbation methods such as averaging to these systems to obtain bounds on nonlinear behavior in the system's parameter space.

In addition, we are extending our analytical and numerical results to more complex spacecraft systems such as dual-spinners and spacecraft with continuous flexibilities.

Key Faculty:


More information about this research area will be available soon.


More information about this research area will be available soon.

Key Faculty:



The Penn State Department of Engineering Science and Mechanics (ESM) is an internationally distinguished department that is recognized for its globally competitive excellence in engineering and scientific accomplishments, research, and educational leadership.

Our Engineering Science program is the official undergraduate honors program of the College of Engineering, attracting the University’s brightest engineering students. We also offer graduate degrees in ESM, engineering mechanics, engineering at the nano-scale, and an integrated undergraduate/graduate program.

Department of Engineering Science and Mechanics

212 Earth and Engineering Sciences Building

The Pennsylvania State University

University Park, PA 16802

Phone: 814-865-4523