Nonlinear dynamics and integrable systems

The study of chaos in maps and differential equations is by now a standard branch of applied mathematics, with many potential applications in population biology, mechanics and fluid mechanics, for example. Less easy to analyse are chaotic solutions in differential-delay equations, and also the application of the theory of chaotic dynamics to partial differential equations. This last topic is of some interest, in view of the continuing quest to understand how turbulence arises in fluid flows.

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People working in this area within OCIAM are

• Dr Andrew Fowler

• Dr John Norbury

• Dr Irene Moroz

• Dr Mason Porter