Volunteer Basis, Potential for UROP Funding, Potential for Academic Credit


Nonlinear Dynamics and Chaos Research: My group seeks a computer-literate student who is interested in learning about and contributing to work on “deterministic chaos” and nonlinear dynamical systems. The student will work with me and possibly some other undergraduate or graduate students to develop and improve a series of computational modules designed to enhance the exploration and visualization of nonlinear dynamical systems ranging from simple iterated maps through coupled ordinary differential equations to nonlinear partial differential equations. In the process, the student will acquire knowledge of and “hands-on” experience with nonlinear dynamical systems drawn from a wide range of scientific and engineering disciplines. Some of the studies may lead to research problems that could be continued during the academic year and in following years. In particular, this summer will focus on aspects of the celebrated Fermi-Pasta-Ulam-Tsingou problem, which was a watershed problem for the development of computational and nonlinear science. The ideal applicant would have familiarity with programming in Mathematica^(TM), Matlab, and/or Python and some experience with the basic ideas of “chaos” and nonlinear dynamics, but the most important attributes are very strong computer skills and an strong interest in learning about nonlinear phenomena. The time commitment during the present semester should be at least 10 hours per week and during the coming summer should be at least 20 hours per week. Interested students should contact the faculty mentor by email ( ) providing some information about their relevant background and interest in the project. Recent relevant references published with UROP students include:
Salvatore D. Pace and David K. Campbell, “Behavior and Breakdown of Higher-Order-Fermi- Pasta-Ulam-Tsignou Recurrences,” Chaos 29, 023132 (2019).
Salvatore D. Pace, Kevin A. Reiss, and David K. Campbell, “The Beta Fermi-Pasta-Ulam-
Tsingou Recurrence Problem,” Chaos 29, 113107 (2019).


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