Research in Nonlinear Phenomena

In recent years there has been an explosion of interest in the study of nonlinear waves and dynamical systems with analytical results often motivated by the use of computers. The faculty in the Program is actively and intensively involved in this growing field; research areas include integrable systems, conservative and dissipative chaos, as well as numerical computation. Topics of interest include solitons, integrable systems, cellular automata, pattern formation, qualitative structure and bifurcation theory, onset of chaos and turbulence, analytic dynamics, and transport phenomena. Program courses in this field include dynamical systems, nonlinear wave motion and many advanced seminars. Suitable background courses are: analysis, computation and methods in applied mathematics. Valuable supplemental courses include mechanics and fluid dynamics.

Applied Math Faculty whose research relates to this area

• Mark J. Ablowitz
• David Bortz
• James Curry
• Robert Easton (Emeritus)
• Keith Julien
• James Meiss
• Harvey Segur

Affiliated Faculty whose research relates to this area

• Elizabeth Bradley
• John Cary
• Martin Goldman
• Lev Ostrovsky
• Rex Skodje
• Juri Toomre
• Patrick Weidman (Emeritus)
• Jeffrey B. Weiss
• Joseph Werne

Related courses

• APPM 5460, Dynamical Systems and Differential Equations
• APPM 7100, Dynamical Systems
• APPM 7300, Nonlinear Waves and Integrable Equations
• APPM 8100, Seminars on Dynamical Systems