Jonathan Dawes

Reader in Applied Mathematics
Royal Society University Research Fellow

Contact Details

• Office: 4 West 1.13
• Address: Department of Mathematical Sciences, University of Bath, Bath BA2 7AY.
• Email: J.H.P.Dawes -at- bath dot ac dot uk
• Tel (direct): +44-1225-386223
• Tel (dept): +44-1225-386989
• Fax: +44-1225-386492

Research Interests:

• applied dynamical systems
• bifurcation theory and dynamics with symmetry
• pattern formation
• fluid mechanics

Recent and Forthcoming Activities:

• Oberwolfach Workshop on Lattice Differential Equations, 15 - 21 September 2013. Invited participant.
• Uncertainty in Interaction Networks Launch Event for the Centre for Networks and Collective Behaviour, Wednesday 12 - Thursday 13 May 2013, University of Bath.
• SIAM Conference on Applications of Dynamical Systems (DS13). Snowbird Ski and Summer Resort, Snowbird, Utah, USA. 19 - 23 May 2013. Invited keynote minisymposium speaker.
• British Applied Mathematics Colloquium (BAMC). University of Leeds, 9 - 12 April 2013..
• Isaac Newton Institute, Cambridge Various dates in January -- April 2013. Visiting Fellow for the programme Mathematics of Liquid Crystals
• Patterns, Nonlinear dynamics and Applications (PANDA) one-day meetings.
  Outline details of meetings for 2013

Selected Publications:

• J.H.P. Dawes, The emergence of a coherent structure for coherent structures: localized states in nonlinear systems. Phil. Trans. R. Soc. A 368, 3519-3534 (2010)
  (Special issue: 'Visions of the future for the Royal Society's 350th anniversary year')
• C.M. Postlethwaite and J.H.P. Dawes, Resonance bifurcations from robust homoclinic cycles. Nonlinearity 23, 621-642 (2010)
• J.H.P. Dawes and S. Lilley, Localized states in a model of pattern formation in a vertically vibrated layer. SIAM J. App. Dyn. Syst 9, 238-260 (2010)
• T. Putelat, J.H.P. Dawes and J.R. Willis, Regimes of frictional sliding of a spring-block system. J. Mech. Phys. Solids 58, 27-53 (2010)
• J.H.P. Dawes, Localised pattern formation with a large-scale mode: slanted snaking. SIAM J. Appl. Dyn. Syst. 7, 186-206 (2008)
• J.H.P. Dawes, Localised convection cells in the presence of a vertical magnetic field. J. Fluid Mech. 570, 385-406 (2007).
• J.H.P. Dawes and T.L. Tsai, Frequency locking and complex dynamics near a periodically forced robust heteroclinic cycle. Phys. Rev. E 74 055201(R) (2006)
• J.H.P. Dawes and J.R. Gog, The onset of oscillatory dynamics in models of multiple disease strains. J. Math. Biol. 45, 471-510 (2002)
• J.H.P. Dawes, Rapidly rotating thermal convection at low Prandtl number. J. Fluid Mech. 428, 61-80 (2001).

Useful links:

• The Bath Institute for Complex Systems and its preprint series.
• The Centre for Networks and Collective Behaviour.
• The Robotics and Autonomous Systems Research Group.

 

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