Back to Hudson Group Homepage

Hudson Group: Chaos

Chaos

The trajectory of a chaotic electrochemical oscillator in its three-dimensional attractor (the white curves). The element keeps moving within this complicated but confined structure without repeating any of the previous trajectories. watch movie

The trajectories of 64 chaotic electrochemical oscillators in the three-dimensional reconstructed phase space without interactions. watch movie

Unsynchronized currents of 64 electrochemical chaotic oscillators without interactions. watch movie

The trajectories of 64 chaotic electrochemical oscillators in the three-dimensional reconstructed phase space with maximum interactions. All elements are synchronized therefore they move together as a single entity in the phase space. watch movie

Synchronized currents of 64 electrochemical chaotic oscillators with maximum interactions. All elements flash on/off at almost the same time. watch movie


For more information on the above videos, see the following papers:

156. Kiss, István Z., Yumei Zhai, and John L. Hudson, “Collective dynamics of chaotic chemical oscillators and the law of large numbers,” Phys. Rev. Lett. 88 (23), 238301 (2002).
145. Wang, Wen, Istvan Z. Kiss, and John. L. Hudson, “Clustering of Arrays of Chaotic Chemical Oscillators by Feedback and Forcing,” Phys. Rev. Lett. 86 (21), 4954 4957 (2001).


The trajectories of 64 chaotic electrochemical oscillators in the three-dimensional reconstructed phase space with intermediate interactions. Two clusters are formed; within each cluster the elements have almost identical dynamics. watch movie

Currents of 64 chaotic electrochemical oscillators with intermediate interactions. In the clustering region, many clustering patterns are possible. Three observed cluster configurations are shown:

watch movie

watch movie

watch movie

For more information on the above four videos, see the following papers:

166. Kiss, István Z. and John L. Hudson, “Chaotic cluster itinerancy and hierarchical cluster trees in electrochemical experiments,” Chaos 13, 999-1009 (2003).
145. Wang, Wen, Istvan Z. Kiss, and John. L. Hudson, “Clustering of Arrays of Chaotic Chemical Oscillators by Feedback and Forcing,” Phys. Rev. Lett. 86 (21), 4954 4957 (2001).
135. Wen Wang, Istvan Z. Kiss, and J.L. Hudson, “Experiments on Arrays of Globally Coupled Chaotic Electrochemical Oscillators: synchronization and clustering,” Chaos 10, 248-256 (2000).


Back to Gallery Home

 

Contact Us

Hudson Group
http://faculty.virginia.edu/hudson/

Hudson ChE Department Page
University of Virginia
Department of Chemical Engineering