Applied Mathematics | Nonlinear Dynamics | Chaos Theory
Stephen Wiggins is renowned for his pioneering research in applied mathematics, with emphasis on nonlinear dynamics, chaos theory, and geometry and transport in phase space. His work has advanced the understanding of phase space structures, mixing, and transport in dynamical systems, with applications ranging from fluid mechanics to chemical reaction dynamics. Wiggins’s research themes connect mathematical foundations with practical scientific challenges, synergistically influencing fields such as theoretical chemistry and geophysical transport.
Investigating transport and mixing in geophysical flows (oceanic and atmospheric) using dynamical systems theory, focusing on hyperbolic trajectories and invariant manifolds.
Exploring phase space structures in reaction dynamics, including "roaming" mechanisms, transition state theory, and phase space conduits for energy transfer.
Developing and applying the method of Lagrangian descriptors—a trajectory-based scalar field technique—to reveal phase space structures in complex, aperiodically time-dependent systems.
Annual Review of Physical Chemistry (2017)
Annual Review of Fluid Mechanics (2005)
Notices of the AMS (2022)
Notices of the AMS (2025)