Björn Sandstede

Research Interests

• Dynamical systems, ordinary and partial differential equations
• Dynamics of patterns, nonlinear waves, stability
• Homoclinic and heteroclinic phenomena
• Symmetry in dynamical systems
• Nonlinear optics

My research focuses on pattern formation and nonlinear waves. Among the techniques that I apply are exponential dichotomies, invariant-manifold theory, Lyapunov-Schmidt reduction, spatial dynamics, and numerical computations. The links in the sidebar show some of my recent projects in more detail.

Information about recent reading groups and graduate schools can be found on my Teaching page.

Gallery

A few pictures of patterns and waves are posted in the image gallery.

Presentations

Links to audio/video/PDF recordings of talks I have given:

• Snakes and ladders (Colloquium, North Carolina State University, February 2008)
• Dynamics of Nonlinear Waves (Overview lecture, MSRI, January 2007)
• Period-Doubling Bifurcations of Spiral Waves (Isaac Newton Institute, December 2005)
• Towards a Classification of Defects in Oscillatory Media (Fields Institute, November 2003)

Notes

• Absolute and essential spectra
• Evans function example
• Spatial dynamics [scanned] (Reading Group, Autumn 2006)
• Travelling waves [scanned] (Graduate School, Spring 2007)

• Björn Sandstede
• Brown University
• 182 George Street
• Providence, RI 02912, USA