Publications

Y. Yang, T. Nishikawa, and A.E. Motter,
Vulnerability and cosusceptibility determine the size of network cascades,
Phys. Rev. Lett. 118, 048301 (2017).
doi:10.1103/PhysRevLett.118.048301 - Physics Story
arXiv:1701.08790

A.E. Motter and Y. Yang,
The unfolding and control of network cascades,
Physics Today 70(1), 32 (2017).
doi:10.1063/PT.3.3426
arXiv:1701.00578

T. Nishikawa, J. Sun, and A.E. Motter,
Sensitive dependence of network dynamics on network structure.
arXiv:1611.01164

T. Nishikawa and A.E. Motter,
Symmetric states requiring system asymmetry,
Phys. Rev. Lett. 117, 114101 (2016).
doi:10.1103/PhysRevLett.117.114101 - Synopsis
arXiv:1608.05419

T. Nishikawa and A.E. Motter,
Network-complement transitions, symmetries, and cluster synchronization,
Chaos 26, 094818 (2016).
doi:10.1063/1.4960617

D.M. Abrams, L.M. Pecora, and A.E. Motter,
Introduction to focus issue: Patterns of network synchronization,
Chaos 26, 094601 (2016).
doi:10.1063/1.4962970 - Supplemental Material
arXiv:1610.00720

D.K. Wells, W.L. Kath, and A.E. Motter,
Control of stochastic and induced switching in biophysical networks,
Phys. Rev. X 5, 031036 (2015).
doi:10.1103/PhysRevX.5.031036 - Supplemental Material
arXiv:1509.03349

A.E. Motter,
Networkcontrology,
Chaos 25, 097621 (2015).
doi:10.1063/1.4931570
arXiv:1510.08320

T. Nishikawa, F. Molnar, and A.E. Motter,
Stability landscape of power-grid synchronization,
IFAC-PapersOnLine - Conference Proceedings of the 4th IFAC Conference on Analysis and Control of Chaotic Systems 48, 1-6 (2015).
doi:10.1016/j.ifacol.2015.11.001

E. Bradley, A.E. Motter, and L.M. Pecora,
Introduction to focus issue: The 25th anniversary of Chaos: Perspectives on nonlinear science - Past, present, and future,
Chaos 25, 097501 (2015).
doi:10.1063/1.4931448

P. Gawand, F.S. Abukar, N. Venayak, S. Partow, A.E. Motter, and R. Mahadevan,
Sub-optimal phenotypes of double-knockout mutants of Escherichia coli depend on the order of gene deletions,
Integr. Biol., 7, 930 (2015).
doi:10.1039/C5IB00096C

J. Sun, S.P. Cornelius, J. Janssen, K.A. Gray, and A.E. Motter,
Regularity underlies erratic population abundances in marine ecosystems,
J. R. Soc. Interface 12, 20150235 (2015).
doi:10.1098/rsif.2015.0235 - Supplementary Material
arXiv:1505.03521

T. Nishikawa and A.E. Motter,
Comparative analysis of existing models for power-grid synchronization,
New J. Phys. 17, 015012 (2015).
doi:10.1088/1367-2630/17/1/015012
arXiv:1501.06926

A.E. Motter and D.K. Campbell,
Chaos at fifty,
in The Best Writing on Mathematics 2014,
M. Pitici, Editor. Princeton University Press: Princeton. p. 270-287 (2015).

J.-R. Angilella, R.D. Vilela, and A.E. Motter,
Inertial particle trapping in an open vortical flow,
J. Fluid Mech. 744, 183 (2014).
doi:10.1017/jfm.2014.38
arXiv:1403.7563

B. Wang, J. Sun, and A.E. Motter,
Detecting structural breaks in seasonal time series by regularized optimization,
in Safety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures,
G. Deodatis, B.R. Ellingwood, and D.M. Frangopol, Editors. CRC Press/Balkema: Leiden p. 3621-3628 (2014).
doi:10.1201/b16387-524
arXiv:1505.04305

A.E. Motter, M. Gruiz, G. Károlyi, and T. Tél,
Doubly transient chaos: Generic form of chaos in autonomous dissipative systems,
Phys. Rev. Lett. 111, 194101 (2013).
doi:10.1103/PhysRevLett.111.194101 - Synopsis
arXiv:1310.4209

A.E. Motter,
How to control your dragons,
Physics 6, 120 (2013) - Viewpoint Article
doi:10.1103/Physics.6.120

S.P. Cornelius, W.L. Kath, and A.E. Motter,
Realistic control of network dynamics,
Nature Communications 4, 1942 (2013).
doi:10.1038/ncomms2939 - PDF - Supplementary Information - Movie - Nontechnical Overview Article
arXiv:1307.0015v1

S.P. Cornelius and A.E. Motter,
NECO - A scalable algorithm for NEtwork COntrol,
Protocol Exchange (2013), doi:10.1038/protex.2013.063.
doi:10.1038/protex.2013.063 - Source Codes
arXiv:1307.2582

J. Sun and A.E. Motter,
Controllability transition and nonlocality in network control,
Phys. Rev. Lett. 110, 208701 (2013).
doi:10.1103/PhysRevLett.110.208701
arXiv:1305.5848

A.E. Motter, S.A. Myers, M. Anghel, and T. Nishikawa,
Spontaneous synchrony in power-grid networks,
Nature Physics 9, 191 (2013).
doi:10.1038/nphys2535 - Supplementary Information
arXiv:1302.1914

A.E. Motter and D.K. Campbell,
Chaos at fifty,
Physics Today 66(5), 27 (2013).
doi:10.1063/PT.3.1977 - COVER - Related Video by Stefan Ganev
Cinquante Ans de Chaos, French translation by Marie-Neige Cordonnier

Z.G. Nicolaou and A.E. Motter,
Longitudinal inverted compressibility in super-strained metamaterials,
J. Stat. Phys. 151(6), 1162 (2013).
doi:10.1007/s10955-013-0742-8
arXiv:1304.0787

E.G. Altmann, Z.L. Whichard, and A.E. Motter,
Identifying trends in word frequency dynamics,
J. Stat. Phys. 151(1), 277 (2013).
doi:10.1007/s10955-013-0699-7
arXiv:1302.3892

Y. Yang, J. Wang, and A.E. Motter,
Network observability transitions,
Phys. Rev. Lett. 109, 258701 (2012).
doi:10.1103/PhysRevLett.109.258701 - Supplementary Information
arXiv:1301.5916

Z.G. Nicolaou and A.E. Motter,
Mechanical metamaterials with negative compressibility transitions,
Nature Materials 11, 608 (2012).
doi:10.1038/nmat3331 - Supplementary Information - Movie - Nontechnical Overview Article
arXiv:1207.2185

J.S. Lee, T. Nishikawa, and A.E. Motter,
Why optimal states recruit fewer reactions in metabolic networks,
Discret. Contin. Dyn. Syst. A 32(8), 2937 (2012).
Special Issue in Honor of the 65 Birthday of John Guckenheimer.
doi:10.3934/dcds.2012.32.2937
arXiv:1206.0766

A.E. Motter and R. Albert,
Networks in motion,
Physics Today 65(4), 43 (2012).
doi:10.1063/PT.3.1518 - COVER
arXiv:1206.2369

T. Nishikawa and A.E. Motter,
Discovering network structure beyond communities,
Scientific Reports 1, 151 (2011).
doi:10.1038/srep00151 - Supplementary Information - Visual Analytics Software - Tutorial
arXiv:1111.6115

S.P. Cornelius, W.L. Kath, and A.E. Motter,
Controlling complex networks with compensatory perturbations,
arXiv:1105.3726 (2011).
http://arxiv.org/abs/1105.3726

J. Sun, S.P. Cornelius, W.L. Kath, and A.E. Motter,
Comment on "Controllability of Complex Networks with Nonlinear Dynamics,"
arXiv:1108.5739 (2011).
http://arxiv.org/abs/1108.5739

B. Ravoori, A.B. Cohen, J. Sun, A.E. Motter, T.E. Murphy, and R. Roy,
Robustness of optimal synchronization in real networks,
Phys. Rev. Lett. 107, 034102 (2011).
doi:10.1103/PhysRevLett.107.034102 - Supplementary Information
arXiv:1106.3994

N. Carlson, D.-H. Kim, and A.E. Motter,
Sample-to-sample fluctuations in real-network ensembles,
Chaos 21, 025105 (2011).
Focus Issue Synchronization and Cascading Processes in Complex Networks.
doi:10.1063/1.3602223 - COVER
arXiv:1111.6118

E.G. Altmann, J.B. Pierrehumbert, and A.E. Motter,
Niche as a determinant of word fate in online groups,
PLoS One 6(5), e19009 (2011).
doi:10.1371/journal.pone.0019009 - Supplementary Information
arXiv:1009.3321

S.P. Cornelius, J.S. Lee, and A.E. Motter,
Dispensability of Escherichia coli's latent pathways,
Proc. Natl. Acad. Sci. USA 108, 3124 (2011).
doi:10.1073/pnas.1009772108 - Supplementary Information
arXiv:1103.5176

S. Sahasrabudhe and A.E. Motter,
Rescuing ecosystems from extinction cascades through compensatory perturbations,
Nature Communications 2, 170 (2011).
doi:10.1038/ncomms1163 - PDF - Supplementary Information
arXiv:1103.1653

Z.L. Whichard, A.E. Motter, P.J. Stein, and S.J. Corey,
Slowly produced microRNAs control protein levels,
J. Biol. Chem. 286, 4742 (2011).
doi:10.1074/jbc.M110.166348 - Supplementary Information

T. Nishikawa and A.E. Motter,
Network synchronization landscape reveals compensatory structures, quantization, and the positive effect of negative interactions,
Proc. Natl. Acad. Sci. USA 107, 10342 (2010).
doi:10.1073/pnas.0912444107 - Supplementary Information - Movie
arXiv:0909.2874

K. Gelfert and A.E. Motter,
(Non)Invariance of dynamical quantities for orbit equivalent flows,
Communications in Mathematical Physics 300, 411 (2010).
doi:10.1007/s00220-010-1120-x
arXiv:1010.1791

A.E. Motter,
Improved network performance via antagonism: From synthetic rescues to multi-drug combinations,
BioEssays 32, 236 (2010) - Problems and Paradigms.
doi:10.1002/bies.200900128
arXiv:1003.3391

A.E. Motter,
Spontaneous synchrony breaking,
Nature Physics 6, 164 (2010).
doi:10.1038/nphys1609
arXiv:1003.2465

J. Andreasen, H. Cao, J. Wiersig, and A.E. Motter,
Marginally unstable periodic orbits in semiclassical mushroom billiards,
Phys. Rev. Lett. 103, 154101 (2009).
doi:10.1103/PhysRevLett.103.154101 - COVER
arXiv:0905.4040

D.-H. Kim and A.E. Motter,
Slave nodes and the controllability of metabolic networks,
New J. Phys. 11, 113047 (2009).
doi:10.1088/1367-2630/11/11/113047 - Supplementary Information
arXiv:0911.5518

E.G. Altmann, J.B. Pierrehumbert, and A.E. Motter,
Beyond word frequency: Bursts, lulls, and scaling in the temporal distributions of words,
PLoS One 4(11), e7678 (2009).
doi:10.1371/journal.pone.0007678 - Supplementary Information
arXiv:0901.2349

A.E. Motter and K. Gelfert,
Time-metric equivalence and dimension change under time reparameterizations,
Phys. Rev. E 79, 065202 (2009).
Rapid Communications
doi:10.1103/PhysRevE.79.065202
arXiv:0905.3416

A.E. Motter and A. Saa,
Relativistic invariance of Lyapunov exponents in bounded and unbounded systems,
Phys. Rev. Lett. 102, 184101 (2009).
doi:10.1103/PhysRevLett.102.184101
arXiv:0903.2296

T. Nishikawa, N. Gulbahce, and A.E. Motter,
Spontaneous reaction silencing in metabolic optimization,
PLoS Computational Biology 4(12), e1000236 (2008).
doi:10.1371/journal.pcbi.1000236 - Supplementary Information - APS March Meeting Image Gallery
arXiv:0901.2581

R.D. Malmgren, D.B. Stouffer, A.E. Motter, and L.A.N. Amaral,
A Poissonian explanation for heavy tails in e-mail communication,
Proc. Natl. Acad. Sci. USA 105, 18153 (2008).
doi:10.1073/pnas.0800332105 - Supplementary Information
arXiv:0901.0585

D.-H. Kim and A.E. Motter,
Resource allocation pattern in infrastructure networks,
J. Phys. A: Math. Theor. 41, 224019 (2008).
doi:10.1088/1751-8113/41/22/224019 - IOP SELECT
arXiv:0801.1877

A. Barrat et al.,
Complex Networks: from Biology to Information Technology,
J. Phys. A: Math. Theor. 41, 220301 (2008).
doi:10.1088/1751-8121/41/22/220301

D.-H. Kim and A.E. Motter,
Fluctuation-driven capacity distribution in complex networks,
New J. Phys. 10, 053022 (2008).
doi:10.1088/1367-2630/10/5/053022
arXiv:0805.3725

G. Bianconi, N. Gulbahce, and A.E. Motter,
Local structure of directed networks,
Phys. Rev. Lett. 100, 118701 (2008).
doi:10.1103/PhysRevLett.100.118701
arXiv:0707.4084

A.E. Motter, N. Gulbahce, E. Almaas, and A.-L. Barabási,
Predicting synthetic rescues in metabolic networks,
Molecular Systems Biology 4, 168 (2008).
doi:10.1038/msb.2008.1 - Supplementary Information - EMBO and Nature Publishing Group
arXiv:0803.0962

E.G. Altmann, T. Friedrich, A.E. Motter, H. Kantz, and A. Richter,
Prevalence of marginally unstable periodic orbits in chaotic billiards,
Phys. Rev. E 77, 016205 (2008).
doi:10.1103/PhysRevE.77.016205
arXiv:0711.4585

R.D. Vilela and A.E. Motter,
Can aerosols be trapped in open flows?
Phys. Rev. Lett. 99, 264101 (2007).
doi:10.1103/PhysRevLett.99.264101 - ANIMATION
arXiv:0706.1336

A.E. Motter,
Bounding network spectra for network design,
New J. Phys. 9, 182 (2007).
doi:10.1088/1367-2630/9/6/182 - IOP SELECT
arXiv:0705.0089

A.E. Motter and Z. Toroczkai,
Introduction: Optimization in networks,
Chaos 17, 026101 (2007).
doi:10.1063/1.2751266 - COVER

D.-H. Kim and A.E. Motter,
Ensemble averageability in network spectra,
Phys. Rev. Lett. 98, 248701 (2007).
doi:10.1103/PhysRevLett.98.248701
arXiv:0705.1175

M. Anghel, K.A. Werley, and A.E. Motter,
Stochastic model for power grid dynamics,
Proceedings of the Fortieth Hawaii International Conference on System Sciences, January 3-6, 2007, Big Island, Hawaii.
arXiv:physics/0609217

A.E. Motter, M.A. Matías, J. Kurths, and E. Ott,
Dynamics on complex networks and applications,
Physica D 224, vii (2006).
doi:10.1016/j.physd.2006.09.012
arXiv:cond-mat/0612068

T. Nishikawa and A.E. Motter,
Maximum performance at minimum cost in network synchronization,
Physica D 224, 77 (2006).
doi:10.1016/j.physd.2006.09.007
arXiv:cond-mat/0609622

T. Nishikawa and A.E. Motter,
Synchronization is optimal in non-diagonalizable networks,
Phys. Rev. E 73, 065106 (2006).
Rapid Communications
doi:10.1103/PhysRevE.73.065106
arXiv:cond-mat/0605619

E.G. Altmann, A.E. Motter, and H. Kantz,
Stickiness in Hamiltonian systems: from sharply divided to hierarchical phase space,
Phys. Rev. E 73, 026207 (2006).
doi:10.1103/PhysRevE.73.026207
arXiv:nlin/0601008

C.S. Zhou, A.E. Motter, and J. Kurths,
Universality in the synchronization of weighted random networks,
Phys. Rev. Lett. 96, 034101 (2006).
doi:10.1103/PhysRevLett.96.034101
arXiv:cond-mat/0604070

E.G. Altmann, A.E. Motter, and H. Kantz,
Stickiness in mushroom billiards,
Chaos 15, 033105 (2005).
doi:10.1063/1.1979211 - ANIMATION
arXiv:nlin/0502058

A.E. Motter, C.S. Zhou, and J. Kurths,
Weighted networks are more synchronizable: how and why,
AIP Conference Proceedings 776, 201 (2005).
arXiv:cond-mat/0506556

A.E. Motter, A.P.S. de Moura, C. Grebogi, and H. Kantz,
Effective dynamics in Hamiltonian systems with mixed phase space,
Phys. Rev. E 71, 036215 (2005).
doi:10.1103/PhysRevE.71.036215
arXiv:nlin/0503060

A.E. Motter, C.S. Zhou, and J. Kurths,
Network synchronization, diffusion, and the paradox of heterogeneity,
Phys. Rev. E 71, 016116 (2005).
doi:10.1103/PhysRevE.71.016116
arXiv:cond-mat/0502309

A.E. Motter, C.S. Zhou, and J. Kurths,
Enhancing complex-network synchronization,
Europhys. Lett. 69, 334 (2005).
doi: 10.1209/epl/i2004-10365-4
arXiv:cond-mat/0406207

A.E. Motter,
Cascade control and defense in complex networks,
Phys. Rev. Lett. 93, 098701 (2004).
doi:10.1103/PhysRevLett.93.098701
arXiv:cond-mat/0401074

Y.-C. Lai, A.E. Motter, and T. Nishikawa,
Attacks and cascades in complex networks,
in Lecture Notes in Physics, Vol. 650, p. 299 (Springer, 2004),
Eds.: E. Ben-Naim, H. Frauenfelder, Z. Toroczkai.
http://cnls.lanl.gov/~ebn/cn/

T. Tel, T. Nishikawa, A.E. Motter, C. Grebogi, and Z. Toroczkai,
Universality in active chaos,
Chaos 14, 72 (2004).
doi:10.1063/1.1626391
arXiv:nlin/0406011

A.E. Motter,
Relativistic chaos is coordinate invariant,
Phys. Rev. Lett. 91, 231101 (2003).
doi:10.1103/PhysRevLett.91.231101
arXiv:gr-qc/0305020

A.E. Motter, Y.-C. Lai, and C. Grebogi,
Reactive dynamics of inertial particles in nonhyperbolic chaotic flows,
Phys. Rev. E 68, 056307 (2003).
doi:10.1103/PhysRevE.68.056307
arXiv:nlin/0311056

A.E. Motter, T. Nishikawa, and Y.-C. Lai,
Large-scale structural organization of social networks,
Phys. Rev. E 68, 036105 (2003).
doi:10.1103/PhysRevE.68.036105
arXiv:cond-mat/0303571

A.P.S. de Moura, A.E. Motter, and C. Grebogi,
Searching in small-world networks,
Phys. Rev. E 68, 036106 (2003).
doi:10.1103/PhysRevE.68.036106

A.P.S. de Moura, Y.-C. Lai, and A.E. Motter,
Signatures of small-world and scale-free properties in large computer programs,
Phys. Rev. E 68, 017102 (2003).
doi:10.1103/PhysRevE.68.017102
arXiv:cond-mat/0306609

T. Nishikawa, A.E. Motter, Y.-C. Lai, and F.C. Hoppensteadt,
Heterogeneity in oscillator networks: are smaller worlds easier to synchronize?
Phys. Rev. Lett. 91, 014101 (2003).
doi:10.1103/PhysRevLett.91.014101
arXiv:cond-mat/0306625

A.E. Motter, T. Nishikawa, and Y.-C. Lai,
Range-based attack on links in scale-free networks: are long-range links responsible for the small-world phenomenon?
Phys. Rev. E 66, 065103 (2002).
Rapid Communications
doi:10.1103/PhysRevE.66.065103
arXiv:cond-mat/0206030

A.E. Motter and Y.-C. Lai,
Cascade-based attacks on complex networks,
Phys. Rev. E 66, 065102 (2002).
Rapid Communications
doi:10.1103/PhysRevE.66.065102
arXiv:cond-mat/0301086

T. Nishikawa, A.E. Motter, Y.-C. Lai, and F.C. Hoppensteadt,
Smallest small-world network,
Phys. Rev. E 66, 046139 (2002).
doi:10.1103/PhysRevE.66.046139
arXiv:cond-mat/0210686

A.E. Motter, A.P.S. de Moura, Y.-C. Lai, and P. Dasgupta,
Topology of the conceptual network of language,
Phys. Rev. E 65, 065102 (2002).
Rapid Communications
doi:10.1103/PhysRevE.65.065102
arXiv:cond-mat/0206530

A.E. Motter and Y.-C. Lai,
Cusp-scaling behavior in fractal dimension of chaotic scattering,
Phys. Rev. E 65, 065201 (2002).
Rapid Communications
doi:10.1103/PhysRevE.65.065201
arXiv:nlin/0206022

A.E. Motter and Y.-C. Lai,
Dissipative chaotic scattering,
Phys. Rev. E 65, 015205 (2002).
Rapid Communications
doi:10.1103/PhysRevE.65.015205
arXiv:nlin/0201022

A.E. Motter and P.S. Letelier,
FRW cosmologies between chaos and integrability,
Phys. Rev. D 65, 068502 (2002).
doi:10.1103/PhysRevD.65.068502
arXiv:gr-qc/0202083

A.E. Motter and P.S. Letelier,
Mixmaster chaos,
Phys. Lett. A 285, 127 (2001).
doi:10.1016/S0375-9601(01)00349-8
arXiv:gr-qc/0011001

A.E. Motter and P.S. Letelier,
Arbitrariness in defining fractal basins: relations between open and closed systems,
Reg. Chaot. Dyn. 6, 215 (2001).
doi:10.1070/RD2001v006n02ABEH000172
arXiv:nlin/0101020

A.E. Motter and P.S. Letelier,
Hausdorff dimension of repellors in low sensitive systems,
Phys. Lett. A 277, 18 (2000).
doi:10.1016/S0375-9601(00)00674-5
arXiv:nlin/0010053

P.S. Letelier and A.E. Motter,
Homoclinic crossing in open systems: chaos in periodically perturbed monopole plus quadrupolelike potentials,
Phys. Rev. E 60, 3920 (1999).
doi:10.1103/PhysRevE.60.3920
arXiv:astro-ph/0203419

M.J. Menon, A.E. Motter, and B.M. Pimentel,
Differential dispersion relations with an arbitrary number of subtractions: a recursive approach,
Phys. Lett. B 451, 207 (1999).
doi:10.1016/S0370-2693(99)00198-7
arXiv:hep-th/9810196

A.E. Motter and M.A.F. Rosa,
Hyperbolic calculus,
Adv. Appl. Clifford Al. 8, 109 (1998).
doi:10.1007/BF03041929