Multifaceted Dynamics of Janus Oscillator Networks
Janus oscillators are "phase-phase oscillators" introduced in our recent PRX paper, which, when coupled through a network, can exhibit myriad synchronization patterns. Their name is by analogy with the homonymous two-faced particles and ancient Roman deity, since the components of a Janus oscillator have different natural frequencies. Janus oscillator networks can exhibit explosive synchronization, extreme multi-stability, chimera states, asymmetry-induced synchronization, and inverted synchronization transitions. The source code and an animated summary of the paper are both available.
Predicting Growth Rate from Gene Expression
The quantitative relationship between functional traits like growth rate and their genetic underpinnings is an outstanding problem in molecular biophysics. In our recent PNAS article, we introduce a method, dubbed MI-POGUE, to directly map transcriptional profiles to growth rates. The method uses a machine-learning technique called k-nearest-neighbors regression and is demonstrated for both bacteria and yeast. A ready to use implementation of our method, which includes the relevant metadata and source code, is available here. The method can be easily adapted to different organisms and different traits.
Videos
Cascade Vulnerability of the North American Power Grid
Janus Oscillator Networks
Levitation of Heavy Particles in Downward Flows
Network Analog of the Butterfly Effect
Fractal Geometry of Doubly Transient Chaos
Outreach: What is Entropy?
Outreach: Syncing Up Without Sameness
Outreach: Self-Siphoning Beads
Recent Publications
J.D. Hart, Y. Zhang, R. Roy, and A.E. Motter,
Topological control of synchronization patterns: Trading symmetry for stability,
Phys. Rev. Lett. 122, 058301 (2019).
arXiv:1902.03255 - doi:10.1103/PhysRevLett.122.058301
Z.G. Nicolaou, D. Eroglu, and A.E. Motter,
Multifaceted dynamics of Janus oscillator networks,
Phys. Rev. X 9, 011017 (2019).
arXiv:1810.06576 - doi:10.1103/PhysRevX.9.011017
T.P. Wytock and A.E. Motter,
Predicting growth rate from gene expression,
Proc. Natl. Acad. Sci. USA 116(2), 367-372 (2019).
arXiv:1901.05010 - doi:10.1073/pnas.1808080116
Z. G. Nicolaou, B. Xu, and A.E. Motter,
Minimal scattering entanglement in one-dimensional trapped gases,
Phys. Rev. A 99, 012316 (2019).
arXiv:1901.04513 - doi:10.1103/PhysRevA.99.012316
A. Haber, F. Molnar, and A.E. Motter,
State observation and sensor selection for nonlinear networks,
IEEE Trans. Control Netw. Syst. 5(2), 694 (2018).
arXiv:1706.05462 - doi:10.1109/TCNS.2017.2728201
A.E. Motter and M. Timme,
Antagonistic phenomena in network dynamics,
Annu. Rev. Condens. Matter Phys. 9, 463 (2018).
arXiv:1808.00165 - doi:10.1146/annurev-conmatphys-033117-054054 (Access without subscription)
Y. Zhang and A.E. Motter,
Identical synchronization of nonidentical oscillators: When only birds of different feathers flock together,
Nonlinearity 31, R1 (2018).
arXiv:1712.03245 - doi:10.1088/1361-6544/aa8fe7
T.P. Wytock, A. Fiebig, J.W. Willett, J. Herrou, A. Fergin, A.E. Motter, and S. Crosson,
Experimental evolution of diverse Escherichia coli metabolic mutants identifies genetic loci for convergent adaptation of growth rate,
PLoS Genetics 14(3), e1007284 (2018).
arXiv:1812.05623 - doi:10.1371/journal.pgen.1007284
Z.G. Nicolaou, H. Riecke, and A.E. Motter,
Chimera states in continuous media: Existence and distinctness,
Phys. Rev. Lett. 119, 244101 (2017).
arXiv:1712.00458 - doi:10.1103/PhysRevLett.119.244101
Y. Yang and A.E. Motter,
Cascading failures as continuous phase-space transitions,
Phys. Rev. Lett. 119, 248302 (2017).
arXiv:1712.04053 - doi:10.1103/PhysRevLett.119.248302
T. Nishikawa, J. Sun, and A.E. Motter,
Sensitive dependence of optimal network dynamics on network structure,
Phys. Rev. X 7, 041044 (2017).
arXiv:1611.01164 - doi:10.1103/PhysRevX.7.041044
Y. Yang, T. Nishikawa, and A.E. Motter,
Small vulnerable sets determine large network cascades in power grids,
Science 358 (6365), eaan3184 (2017).
arXiv:1804.06432 - doi:10.1126/science.aan3184 - PDF
Y.S. Cho, T. Nishikawa, and A.E. Motter,
Stable chimeras and independently synchronizable clusters,
Phys. Rev. Lett. 119, 084101 (2017).
arXiv:1707.06657 - doi:10.1103/PhysRevLett.119.084101
Y. Zhang, T. Nishikawa, and A.E. Motter,
Asymmetry-induced synchronization in oscillator networks,
Phys. Rev. E 95, 062215 (2017).
arXiv:1705.07907 - doi:10.1103/PhysRevE.95.062215
X. Chen, T. Nishikawa, and A.E. Motter,
Slim fractals: The geometry of doubly transient chaos,
Phys. Rev. X 7, 021040 (2017).
arXiv:1705.02349 - doi:10.1103/PhysRevX.7.021040
L Zhang, A.E. Motter, and T. Nishikawa,
Incoherence-mediated remote synchronization,
Phys. Rev. Lett. 118, 174102 (2017).
arXiv:1703.10621 - doi:10.1103/PhysRevLett.118.174102
J.-R. Angilella, D.J. Case, and A.E. Motter,
Levitation of heavy particles against gravity in asymptotically downward flows,
Chaos 27, 031103 (2017).
arXiv:1703.03296 - doi:10.1063/1.4978386
Y. Yang, T. Nishikawa, and A.E. Motter,
Vulnerability and cosusceptibility determine the size of network cascades,
Phys. Rev. Lett. 118, 048301 (2017).
arXiv:1701.08790 - doi:10.1103/PhysRevLett.118.048301
A.E. Motter and Y. Yang,
The unfolding and control of network cascades,
Physics Today 70(1), 32 (2017).
arXiv:1701.00578 - doi:10.1063/PT.3.3426
Adilson E. Motter
Photo by Eileen Molony
Professor Motter's research is focused on the dynamical behavior and control of complex systems and networks. More...
Twitter - Google Scholar - ORCID
YouTube Channel
Multidisciplinary Complex Systems Research
Report from an NSF Workshop in May 2017. Released May 2018. K.A. Gray and A.E. Motter (co-chairs). PDF for download.
Special Issue of IEEE TCNS
Special Issue: Approaches to Control Biological and Biologically Inspired Networks in IEEE Transactions on Control of Network Systems (published June 2018).
Network Control
See the talk Advances on the Control of Nonlinear Network Dynamics by Adilson E. Motter at the 2015 SIAM Conference on Applications of Dynamical Systems and check out our featured control projects page to see a summary of our recent work in this area.
Group News
December 2018: Yuanzhao Zhang is first place in the 2018 Northwestern Scientific Images Contest.
September 2018: Takashi Nishikawa is elected APS Fellow.
December 2017: Group organizes the 4th edition of the Network Frontier Workshop.
May 2017: Vicky Yang receives Red Sock Award (SIAG/Dynamical Systems) for joint work at DS17.
Selected Press
Scientists Discover Exotic New Patterns of Synchronization
Quanta Magazine (April 4, 2019)
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All Systems Go in Shanghai for Connecting Innovators
Nature (December 20, 2018)
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Two Phases, Two Faces
Physics Buzz (February 7, 2019)
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The Complex Dance of Two-Faced Oscillators
APS Physics Synopsis (January 30, 2019)
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The subtle success of a complex mindset
Nature Physics (December 4, 2018)
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Sensitive Dependence on Network Structure: Analog of Chaos and Opportunity for Control
SIAM News (April 2, 2018)
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Mapping the Vulnerability and Strength of the Power Grid
ISEN (November, 2017)
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Scientists pinpoint 'weak spots' that cause mass blackouts
E&E News (November 17, 2017)
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Power grid simulation highlights weak points in North American electrical system
Tech Xplore (November 17, 2017)
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Weak links in US power grid vulnerable in event of catastrophe
New Scientist (November 16, 2017)
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