Rob Sturman

Publications - Books

• The Mathematical Foundations of Mixing: The Linked Twist Map as a Paradigm in Applications, Micro to Macro, Fluids to Solids, R. Sturman,  J. Ottino & S. Wiggins, Cambridge University Press, September 2006. ISBN: 0521868130
  

Publications - Papers

Click on the titles to see the abstracts and to download electronic versions:

• Linked Twist Map Formalism in Two and Three Dimensions Applied to Mixing in Tumbled Granular Flows, by R. Sturman, S. Meier, S. Wiggins and J. Ottino. Journal of Fluid Mechanics 602, 129--174 (2008)
• DNA Microarrays: Design principles for maximising chaotic, ergodic mixing, by J.-M. Hertzsch, R. Sturman & S. Wiggins. In Small, 3(2), 202--218 (2007)
  
• Internal dynamics of intermittency, by Rob Sturman and Peter Ashwin. In: Dynamics and Bifurcation of Patterns in Dissipative Systems, Eds: G. Dangelmayr and I. Oprea, World Scientific Series on Nonlinear Science 12, World Scientific, Singapore, 2004
• Cycling chaotic attractors in two models for dynamics with invariant subspaces, by Peter Ashwin, A.M. Rucklidge and Rob Sturman. Chaos 14, Issue 3, pp. 571-582 (2004).
• Two-state intermittency near a symmetric interaction of saddle-node and Hopf bifurcations: a case study from dynamo theory, by Peter Ashwin, A.M. Rucklidge and Rob Sturman. Physica D, 194, Nos. 1-2, (2003), 30-48.
• Phase resetting effects for robust cycles between chaotic sets, by Peter Ashwin, Michael Field, A.M. Rucklidge and Rob Sturman. Chaos 13 (2003) 973-981.
• Decelerating defects and non-ergodic critical behaviour in a unidirectionally coupled map lattice, by Peter Ashwin and Rob Sturman. Physics Letters A 309 423-434 (2003).
• Cycling attractors of coupled cell systems and dynamics with symmetry, by Peter Ashwin, A.M. Rucklidge and Rob Sturman. In Synchronization: Theory and Application (eds. A. Pikovsky and Y. Maistrenko) Kluwer: Dordrecht (2003) 5-23.
• Infinities of stable periodic orbits in systems of coupled oscillators, by P. Ashwin, A.M. Rucklidge and R. Sturman. Phys. Rev. E 66:035201(R) (2002).
• Semi-uniform ergodic theorems and applications to forced systems, by R. Sturman and J. Stark. Nonlinearity 13 (2000) 113-143.
• Scaling of intermittency in a strange nonchaotic attractor, by R. Sturman. Physics Letters A 259 (1999) 355-365.

Submitted and in progress

• Ergodicity, Mixing and the Bernoulli property in a DNA hybridization microarray, by R. Sturman and S. Wiggins, submitted to Proceedings in Applied Mathematics and Mechanics, 8 October 2007
• Musical tuning: a dynamical systems approach, in progress
• Linked twist maps on the cube, in progress