Publications

Y.S. Cho, T. Nishikawa, and A.E. Motter,
Stable chimeras and independently synchronizable clusters,
Phys. Rev. Lett. (to appear).

A. Haber, F. Molnar, and A.E. Motter,
State observation and sensor selection for nonlinear networks,
IEEE Trans. Control Netw. Syst. (to appear).
arXiv:1706.05462

Y. Zhang, T. Nishikawa, and A.E. Motter,
Asymmetry-induced synchronization in oscillator networks,
Phys. Rev. E 95, 062215 (2017).
doi:10.1103/PhysRevE.95.062215
arXiv:1705.07907

X. Chen, T. Nishikawa, and A.E. Motter,
Slim fractals: The geometry of doubly transient chaos,
Phys. Rev. X 7, 021040 (2017).
doi:10.1103/PhysRevX.7.021040
arXiv:1705.02349

L Zhang, A.E. Motter, and T. Nishikawa,
Incoherence-mediated remote synchronization,
Phys. Rev. Lett. 118, 174102 (2017).
doi:10.1103/PhysRevLett.118.174102
arXiv:1703.10621

J.-R. Angilella, D.J. Case, and A.E. Motter,
Levitation of heavy particles against gravity in asymptotically downward flows,
Chaos 27, 031103 (2017).
doi:10.1063/1.4978386
arXiv:1703.03296

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
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