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Professor Alan Champneys

Professor Alan Champneys

Professor Alan Champneys
B.Sc.(Birm.), D.Phil.(Oxon.)

Professor of Applied Non-linear Mathematics

Office 2.58 MVB
Merchant Venturers Building,
Woodland Road, Clifton BS8 1UB
(See a map)

Fax. +44 (0) 117 331 5606
Tel. +44 (0) 117 331 5643

Research summary

  • Applied dynamical Systems. Understanding complicated dynamics in physical systems governed byordinary, partial or lattice dierential equations in terms of bifurcation theory, especially global bifurcations (homoclinic and heteroclinic orbits). Bifurcation analysis of piecewise-smooth systems. Application to mechanical, civil, aero and eletrical engineering including rotating machines; valve dynamics; parametric resonance. Friction and impact modelling including the Painleve paradox.
  • Nonlinear waves and coherent structures. Localised pattern formation ('homoclinic snaking') in Swift-Hohenberg and other models of bi-stable media. Application to nonlinear elastic buckling of cylinders, rods and struts. Application to ecology and biology. Solitary waves in fuids, solids and nonlinear optics.
  • Mathematical biology. Modelling ...

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Biography

Brief Career History

  • 1985-1988 BSc. in Mathematics, University of Birmingham Graduated with first class honours.
  • 1988-1991 PhD. in Mathematics, Wadham College University of Oxford. Thesis title The nonlinear dynamics of articulated pipes conveying fluid, supervisor T. Brooke Benjamin FRS.
  • 1992-1993 Postdoctoral Research Assistant in the School of Mathematical Sciences, University of Bath sponsored by the EPSRC (formerly SERC) on Numerical computation of invariant manifold bifurcations. Jointly supervised by John Toland and Alastair Spence .
  • 1993- Lecturer in Nonlinear Systems. Department of Engineering Mathematics, University of Bristol. Reader since 1998. Professor since 2001.
  • 1997-2002 EPSRC Advanced Fellowship

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View complete publications list in the University of Bristol publications system

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