title: Bifurcation analysis of bubble dynamics in fluidized beds.
abstract: We use a low-dimensional, agent-based bubble model to study the changes in the global dynamics of fluidized beds in response to changes in the frequency of the rising bubbles. The computationally based bifurcation analysis shows that at low frequencies, the global dynamics is attracted towards a fixed point since the bubbles interact very little with one another. As the frequency of injection increases, however, the global dynamics undergoes a series of bifurcations to new behaviors that include highly periodic orbits, chaotic attractors, and intermittent behavior between periodic orbits and chaotic sets. Using methods from time-series analysis, we are able to approximate nonlinear models that allow for long-term predictions and the possibility of developing control algorithms.
authors.affiliation: Nonlinear Dynamical Systems Group, Department of Mathematics and Statistics, San Diego State University, San Diego, California 92182, USA. blomgren@terminus.sdsu.edu
authors.forename: Peter
authors.initials: P
authors.lastname: Blomgren
authors.forename: Antonio
authors.initials: A
authors.lastname: Palacios
authors.forename: Bing
authors.initials: B
authors.lastname: Zhu
authors.forename: Stuart
authors.initials: S
authors.lastname: Daw
authors.forename: Charles
authors.initials: C
authors.lastname: Finney
authors.forename: John
authors.initials: J
authors.lastname: Halow
authors.forename: Sreekanth
authors.initials: S
authors.lastname: Pannala