synchronized chaos in coupled optical feedback networks
DESCRIPTION
Synchronized Chaos in Coupled Optical Feedback Networks. Briana E. Mork, Gustavus Adolphus College Katherine R. Coppess, University of Michigan. Natural dynamical system: Chaos; order and randomness Oscillators (Nodes) Synchrony. - PowerPoint PPT PresentationTRANSCRIPT
Synchronized Chaos in Coupled Optical Feedback Networks
Briana E. Mork, Gustavus Adolphus CollegeKatherine R. Coppess, University of Michigan
Kitzbichler (2009) PLoS Comput Biol 5(3)
Natural dynamical system:Chaos; order and randomness
Oscillators (Nodes)Synchrony
http://2.bp.blogspot.com/-73jjFxeZhjc/T-IRe264OII/AAAAAAAADXU/2PBDgyH2Ufk/s400/Brain_Highways.png
Man-made dynamical system:Periodic (mostly)
Oscillators (Nodes)Synchrony
http://www.efoodsdirect.com/blog/wp-content/uploads/2013/10/power-grid-drill.jpg
Examples of Four-Node Network Topologies
Experimental Four-Node Network Topologies
CRS Williams et al. CHAOS 23, 043117 (2013)
Previously studied
Summer 2014
The Experiment
Four nodes form a delay-coupled system with weighted and directed links. Weight is determined by the coupling strength ε as implemented by the DSP board.
CRS Williams et al. CHAOS 23, 043117 (2013)
Changing the feedback strength β of a node varies the dynamics of the node.
Dynamics of a Nodex (
t) (
A.U
.)
time (ms)
CRS Williams et al. CHAOS 23, 043117 (2013)
Experimental Network Topologies
Bidirectional ring
Bidirectional chain with
unidirectional links
Bottom: Laplacian coupling matrices for the two networks, respectively.
Bidirectional Ring
Bidirectional Ring
Bidirectional Chain with
Unidirectional Links
- Stability analysis for synchronous states- Many-node networks- Comparison of convergence rates between global and cluster synchrony
Conclusions
Future work
- The synchronous states that arise depend on topology of the network.- Transitions between synchronous states depend on coupling strength.
Caitlin R. S. Williams, Washington and Lee UniversityAaron M. Hagerstrom, University of Maryland
Louis Pecora, Naval Research LaboratoryFrancesco Sorrentino, University of New Mexico
Thomas E. Murphy, University of MarylandRajarshi Roy, University of Maryland
Acknowledgments
Synchronization states and multistability in a ring of periodic oscillators: Experimentally variable coupling delays CRS Williams et al. CHAOS 23, 043117 (2013)
Experimental Observations of Group Synchrony in a System of Chaotic Optoelectronic Oscillators CRS Williams et al. PRL 110, 064104 (2013)
Cluster Synchronization and Isolated Desynchronization in Complex Networks with Symmetries L Pecora et al. NATURE COMMUNICATIONS | DOI: 10.1038/ncomms5079 (2014)
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