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.
| Original language | English |
|---|---|
| Article number | 013120 |
| Journal | Chaos |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2007 |
Funding
We would like to thank the Computational Science Research Center at SDSU for their technical support and the San Diego Supercomputer Center for providing us with access to their TeraGrid facilities. We also wish to thank Ricardo Carretero for helpful discussions. The submitted manuscript has been co-authored by a contractor of the U.S. Government under Contract No. DEAC05-00OR22725. Accordingly, the U.S. Government retains a nonexclusive, royalty-free license to publish or reproduce the published form of this contribution, or allow others to do so, for U.S. Government purposes.