## Breadcrumb

### Prof Stephen Wiggins

#### PhD Theoretical and Applied Mechanics

Office: 2.2a

Department of Mathematics

University Walk, Clifton, Bristol BS8 1TW, U.K.

Telephone:
+44 (0)117 928-7979

Extension: 87979

Mail: s.wiggins

http://lacms.maths.bris.ac.uk

#### Education

- BSc Physics and Mathematics
- Pittsburg State University (1980)
- MA Mathematics
- University of Wisconsin--Madison (1983)
- MSc Physics
- University of Wisconsin--Madison (1983)
- PhD Theoretical and Applied Mechanics
- Cornell University (1985)
- Bachelor of Laws (Honours)
- Open University (2005)

#### Honours

- NSF Presidential Young Investigator Award, 1989.
- Stanislaw M. Ulam Visiting Scholar at the Center for Nonlinear Studies, Los Alamos National Laboratory, 1989-1990.
- ONR Young Investigator Award in Applied Analysis, 1989.

#### Publications

**Barriers to Transport in Aperiodically Time-Dependent Two-Dimensional Velocity Fields: Nekhoroshev's Theorem and ''Nearly Invariant'' Tori** (2014)

S. Wiggins and A. M. Mancho

NONLINEAR PROCESSES IN GEOPHYSICS vol: 21 , Pages: 165 - 185

DOI: 10.5194/npg-21-165-2014

*URL provided by the author*

**Roaming dynamics in ion-molecule reactions: Phase space reaction pathways and geometrical interpretation** (2014)

Frederic A. L. Mauguiere, Peter Collins, Gregory S. Ezra, Stavros C. Farantos, and Stephen Wiggins

Journal of Chemical Physics vol: 140 , Page: 134112

DOI: 10.1063/1.4870060

*URL provided by the author*

#### Research Interests

**Theoretical and Computational Nonlinear Dynamics**

Mathematical methods for detecting and describing chaotic phenomena, local and global bifurcation theory, homoclinic and heteroclinic motions, Hamiltonian dynamics, phase space transport theory, computational methods for visualizing higher dimensional phase space structures, the development of a dynamical systems theory for transient and finite time phenomena.

**Fluid Mechanics**

The dynamical systems approach to mixing and transport problems in fluid flows. Applications to geophysical flows and fluids with microstructure, vortex dynamics, nonlinear waves. Control and optimization of chaotic advection in microfluidic applications.

**Theoretical Chemistry**

The dynamical foundations of reaction rate theory, and the role of resonances in phase space transport. Application in theoretical chemistry, classical dynamics of triatomic molecules, phase space structure, transport and energy flow, interaction of atoms and molecules with electromagnetic radiation.

#### Research Themes

#### Sample Research Topic

#### Capture of irregular moons of giant planets

We have recently discovered that irregular satellites are captured in a thin spatial region where orbits are chaotic. Dissipation switches these long-lived chaotic orbits into nearby regular (non-chaotic) zones from which escape is impossible.