title: Shear-induced chaos in nonlinear Maxwell-model fluids.
abstract: A generalized model for the behavior of the stress tensor in non-Newtonian fluids is investigated for spatially homogeneous plane Couette flow, showing a variety of nonlinear responses and deterministic chaos. Mapping of chaotic solutions is achieved through the largest Lyapunov exponent for the two main parameters: The shear rate and the temperature and/or density. Bifurcation diagrams and stability analysis are used to reveal some of the rich dynamics that can be found. Suggested mechanisms for stability loss in these complex fluids include Hopf, saddle-node, and period-doubling bifurcations.
authors: Advanced Technology Institute, School of Electronics and Physical Sciences, University of Surrey, Guildford, GU2 7XH, United Kingdom. c.goddard@surrey.ac.uk
authors: Chris
authors: C
authors: Goddard
authors: Ortwin
authors: O
authors: Hess
authors: Alexander G
authors: AG
authors: Balanov
authors: Siegfried
authors: S
authors: Hess