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Forthcoming

On the duality between consensus problems and Markov processes, with application to delay systems.
F. M. Atay. Markov Processes and Related Fields, to appear.

Local pinning of networks of multiagent systems with transmission and pinning delays.
W. Lu and F. M. Atay. IEEE Trans. Automatic Control, to appear, 2016.

Cheeger constants, structural balance, and spectral clustering analysis for signed graphs.
F. M. Atay and S. Liu. Preprint.

Perspectives on multilevel dynamics.
F. M. Atay, S. Banisch, Ph. Blanchard, B. Cessac, E. Olbrich, D. Volchenkov. Discontinuity, Nonlinearity, and Complexity, to appear, 2016.

Exact lumpability of linear evolution equations in Banach spaces.
F. M. Atay and L. Roncoroni. Older preprint:
2016

On the symmetry of the Laplacian spectra of signed graphs.
F. M. Atay and B. Hua. Linear Algebra and its Applications, 495:2437, 2016.
 Controlling oscillations in nonlinear systems with delayed output feedback.
F. M. Atay.
In Control of SelfOrganizing Nonlinear Systems
(E. Schöll, S. Klapp, P. Hövel, eds.) 6579, Springer, Berlin, 2016.
2015

Symmetry analysis of coupled scalar systems under time delay.
F. M. Atay and H. Ruan. Nonlinearity, 22:795824, 2015.

Bipartite networks of oscillators with distributed delays: Synchronization branches and multistability.
N. Punetha, R. Ramaswamy, and F. M. Atay. Physical Review E 91:042906, 2015.

Delayinduced remote synchronization in bipartite networks of phase oscillators.
N. Punetha, S. Ujjwal, F. M. Atay, and R. Ramaswamy. Physical Review E 91:022922, 2015.
 Stability analysis of a constant timeheadway driving strategy with driver memory effects modeled with distributed delays.
R. Sipahi, F. M. Atay, and S.I. Niculescu.
IFACPapersOnLine, 48(12):376381, 2015.
2014

On the spectrum of the normalized Laplacian
for signed graphs: Interlacing, contraction, and replication.
F. M. Atay and H. Tuncel. Linear Algebra and its Applications, 442:165177, 2014.

Spatially structured networks of pulsecoupled phase oscillators on metric spaces.
S. Louca and F. M. Atay. Discrete and Continuous Dynamical Systems A, 34(9):37033745, 2014.
 Consensus in networks of discretetime multiagent systems: Dynamical topologies and delays.
W. Lu, F. M. Atay, and J. Jost.
In Delay Systems: From Theory to Numerics and Applications
(T. Vyhlidal et al., eds.), 155168, Springer, Berlin, 2014.
 Some novel dynamics in delaycoupled networks of dynamical systems.
F. M. Atay. In AIP Conf. Proceedings, 1582:148157, 2014.
 Network consensus under distributed transmission delays.
F. M. Atay. In Proc. ECC 2014: European Control Conference, 111014, 2014.
2013

The consensus problem in networks with transmission delays.
F. M. Atay. Phil. Trans. Royal Society A, 371:20120460, 2013.

Stationary states in infinite networks of spiking oscillators with noise.
S. Louca and F. M. Atay. SIAM J. Applied Dynamical Systems, 12(1):415449, 2013.
 Inferring global synchrony from local symbolic dynamics.
S. Jalan, F. M. Atay, and J. Jost.
In Applications of Chaos and Nonlinear Dynamics in Science and Engineering (S. Banerjee
and L. Rondoni, eds.) Vol. 3, 161170, Springer, Berlin, 2013.
 Graph Laplacian design for fast consensus of a LTI System
with heterogeneous agent couplings and homogeneous interagent delays.
W. Qiao, F. M. Atay, and R. Sipahi. In Proc. ASME 2013 Dynamic Systems and Control Conference, Paper No. DSCC20134020, pp. V002T21A006 (8 pages), 2013.
 Nonlinear dynamics of largescale activity in "networks of networks".
F. Lagzi, F. M. Atay, and S. Rotter. BMC Neuroscience 14(Suppl 1):P331, 2013.
2012

Information storage, loop motifs, and clustered structure in complex networks
J. T. Lizier, F. M. Atay, and J. Jost. Physical Review E, 86:026110, 2012.

On delayinduced stability in diffusively coupled dynamical systems.
F. M. Atay. Afrika Matematika, 23:109119, 2012. (Invited article for Springer inaugural issue.)
 Consensus in networks under transmission delays and the normalized Laplacian.
F. M. Atay.
In Time Delay Systems  Methods, Applications and New Trends (R. Sipahi et al., eds.), Lect. Notes in Control and Information Sciences, 423:407416, 2012.
 Patterns of synchrony in networks of coupled oscillators.
F. M. Atay. Oberwolfach Reports vol.9, pp. 358182, 2012.
 Introduction to Special Issue ECCS'10 in Theory in Biosciences.
M. Kirkilionis and F. M. Atay. Theory in Biosciences 131:5960, 2012.
2011

Modeling brain resonance phenomena using a neural mass model.
A. Spiegler, T. R. Knoesche, K. Schwab, J. Haueisen, F. M. Atay.
PLoS Computational Biology, 7(12):e1002298, 2011.

Synchronization and emergence in complex systems.
F. M. Atay. Pramana, 77(5):855863, 2011.

Phase locked solutions and their stability in the presence of propagation delays.
G. C. Sethia, A. Sen, and F. M. Atay. Pramana, 77(5):905915, 2011.

Consensus and synchronization in discretetime networks of multiagents with stochastically switching topologies and time delays.
W. Lu, F. M. Atay, and J. Jost. Networks and Heterogeneous Media, 6:329349, 2011.

Complex transitions to synchronization in delaycoupled networks of logistic maps.
C. Masoller and F. M. Atay. European Physical Journal D, 62:119126, 2011.

Qualitative inference in dynamical systems.
F. M. Atay and J. Jost. In Handbook of Statistical Systems Biology
(M. P. H. Stumpf, D. J. Balding, and M. Girolami, eds.), 339358,
John Wiley & Sons Ltd., Chichester, UK, 2011.
 Consensus and synchronization in delayed networks of mobile multiagents.
W. Lu, F. M. Atay, and J. Jost. In Proc. 18th IFAC World Congress, 23622367, 2011.
 Complex behavior in a modified Jansen and Rit neural mass model.
A. Spiegler, T. R. Knoesche, J. Haueisen, and F. M. Atay. BMC Neuroscience 12(Suppl 1):P5, 2011.
2010

Complex TimeDelay Systems. F. M. Atay (ed.), SpringerVerlag Berlin, 2010.

Symbolic dynamics and synchronization of coupled map networks with multiple delays.
F. M. Atay, S. Jalan, and J. Jost.
Physics Letters A, 375:130135, 2010.

Nonequilibrium dynamics of stochastic point processes with refractoriness.
M. Deger, M. Helias, S. Cardanobile, F. M. Atay, and S. Rotter. Physical Review E, 82:021129, 2010.

Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants.
A. Spiegler, S. J. Kiebel, F. M. Atay, and T. R. Knoesche. NeuroImage, 52:10411058, 2010.

Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays.
G. C. Sethia, A. Sen, and F. M. Atay.
Physical Review E, 81:056213, 2010.

Synchronized chaos in networks of simple units.
F. Bauer, F. M. Atay, and J. Jost. EPL (Europhysics Letters), 89:20002, 2010.

Delayinduced stability: From oscillators to networks.
F. M. Atay. In Complex TimeDelay Systems
(F. M. Atay, ed.), 4562, SpringerVerlag Berlin 2010.
 Consensus in networks under transmission delays and the normalized Laplacian.
F. M. Atay. In Proc. 9th IFAC Workshop on Time Delay Systems, 277282, 2010.

Consensus in networks under transmission delays and the normalized Laplacian.
F. M. Atay. Ulmer Seminare  Funktionalanalysis und Evolutionsgleichungen, 15:1120, 2010.
 Periodically forced neural mass model: entrainment and complex behavior.
A. Spiegler, T. R. Knoesche, and F. M. Atay. BMC Neuroscience 11(Suppl 1):P7, 2010.
2009

Synchronization in discretetime networks with general pairwise coupling.
F. Bauer, F. M. Atay, and J. Jost.
Nonlinearity, 22:23332351, 2009.

Randomness, chaos, and structure.
F. M. Atay, S. Jalan, and J. Jost.
Complexity, 15:2935, 2009.

Synchronization and amplitude death in coupled limit cycle oscillators with time delays.
F. M. Atay.
In Topics in Time Delay Systems (J. J. Loiseau et al., eds.), Lect. Notes in Control and Information Sciences, 388:383389, 2009.

Stability of diffusively coupled difference equations with delays.
F. M. Atay. In Proc. ICDEA 2008:
14th Int. Conf. on Difference Equations and Applications
(M. Bohner et al., ed.), 133139, 2009.
2008

Delayed feedback control near Hopf bifurcation.
F. M. Atay. Discrete and Continuous Dynamical Systems  S, 1:197205, 2008.

Chaos synchronization in networks of coupled maps with timevarying topologies.
W. Lu, F. M. Atay, and J. Jost.
European Physical Journal B, 63:399406, 2008.

Clustered chimera states in delaycoupled oscillator systems.
G. C. Sethia, A. Sen, and F. M. Atay.
Physical Review Letters, 100:144102, 2008.
2007

Stability of traffic flow behavior with distributed delays
modeling the memory effects of the drivers.
R. Sipahi, F. M. Atay, and S.I. Niculescu.
SIAM J. Applied Math., 68(3):738759, 2007.

Synchronization of discretetime dynamical networks with timevarying couplings.
W. Lu, F. M. Atay, and J. Jost.
SIAM J. Math. Analysis, 39(4):12311259, 2007.

Spontaneous and evoked activity in extended neural populations
with gammadistributed spatial interactions and transmission delay.
A. Hutt and F. M. Atay.
Chaos, Solitons & Fractals, 32:547560, 2007.

Networks with delays.
F. M. Atay. In Network: From Biology to Theory,
(J. Feng, J. Jost and M. Qian, eds.), 2333, SpringerVerlag, 2007.

Dynamics of neural fields with distributed transmission speeds.
F. M. Atay and A. Hutt. In Mathematical Modeling
of Biological Systems, Vol. II (A. Deutsch et al., ed.), 213221,
Birkhäuser Boston, 2007.

Effects of shortterm memory of drivers on stability interpretations of traffic flow dynamic dynamics.
R. Sipahi, S.I. Niculescu, and F. M. Atay.
In Proc. American Control Conf. 2007, 31123117, New York, NY, 2007.
2006

Neural fields with distributed transmission speeds and longrange feedback delays.
F. M. Atay and A. Hutt.
SIAM J. Appl. Dynamical Systems, 5:670698, 2006.

Network synchronization: Spectral versus statistical properties.
F. M. Atay, T. Biyikoglu, and J. Jost.
Physica D, 224:3541, 2006.

Stability of coupled map networks with delays.
F. M. Atay and O. Karabacak.
SIAM J. Appl. Dynamical Systems, 5:508527, 2006.

Symbolic synchronization and the detection of global properties of
coupled dynamics from local information.
S. Jalan, J. Jost, and F. M. Atay.
Chaos, 16:033124, 2006.

Oscillator death in coupled functional differential equations near Hopf bifurcation.
F. M. Atay.
J. Differential Equations, 221(1):190209, 2006.

Effects of distributed transmission speeds on propagating activity in
neural populations.
A. Hutt and F. M. Atay.
Physical Review E, 73(2):021906, 2006.

Synchronization of networks with prescribed degree distributions.
F. M. Atay, T. Biyikoglu, and J. Jost.
IEEE Trans. Circuits and Systems I, 53(1):9298, 2006.
2005

Graph operations and synchronization of complex networks.
F. M. Atay and T. Biyikoglu.
Physical Review E, 72:016217, 2005.

Analysis of nonlocal neural fields for both general and gammadistributed connectivities.
A. Hutt and F. M. Atay.
Physica D, 203(12):3054, 2005.
 Stability and bifurcations in neural fields
with finite propagation speed and general connectivity.
F. M. Atay and A. Hutt.
SIAM J. Applied Math., 65(2):644666, 2005.

Stability of coupled delay differential equations near Hopf bifurcation.
F. M. Atay. In Proc. EQUADIFF 2003: International Conference on Differential Equations
(F. Dumortier et al., ed.), 10271030, Hasselt, Belgium, 2003 (World Scientific, 2005).
 Kopplung von Dynamiken und Strukturbildung.
F. M. Atay and J. Jost. In MaxPlanckGesellschaft: Jahrbuch 2005, p. 375378, MaxPlanckGesellschaft, Muenchen, 2005.
2004

On the emergence of complex systems on the basis of the coordination
of complex behaviors of their elements.
F. M. Atay and J. Jost. Complexity, 10(1):1722, 2004.

Delays, connection topology, and synchronization of coupled chaotic maps.
F. M. Atay, J. Jost, and A. Wende.
Physical Review Letters, 92(14):144101, 2004.
2003
 Total and partial amplitude death in networks
of diffusively coupled oscillators.
F. M. Atay.
Physica D, 183(12):118, 2003.
 Distributed delays facilitate amplitude death
of coupled oscillators.
F. M. Atay.
Physical Review Letters, 91(9):094101, 2003.

Synchronization and death in delaycoupled
van der Pol oscillators.
F. M. Atay. In Proc. NDES 2003: The 11th Workshop on Nonlinear Dynamics
of Electronic Systems (R. Stoop, ed.), 2124, Scuol, Switzerland, 2003.
2002
 Delayedfeedback control of oscillations in
nonlinear planar systems.
F. M. Atay.
Int. J. Control,75(5):297304, 2002.

Oscillation control in delayed feedback systems.
F. M. Atay.
In Dynamics, Bifurcations, and Control (F. Colonius, L. Grüne, eds.), Lect. Notes in Control and Information Sciences, 273:103116, 2002.

Partial amplitude death in diffusively coupled oscillators.
F. M. Atay. In Proc. NDES 2002: The 10th Workshop on Nonlinear Dynamics
of Electronic Systems, 4:58, Cesme, Turkey, 2002.

Twodimensional object recognition using power spectrum.
U. Erdemir, U. Tekin, F. M. Atay, and A. Ercil.
In Proc. SIU 2002: The 10th Congress on Signal Processing and Applications
(E. Panayirci, ed.), Vol. 2, 10441049, Pamukkale, Turkey, 2002.
2001
 Periodic solutions of delaydifferential
equations with a restorative condition.
F. M. Atay.
Nonlinear Analysis TMA, 45(5):555576, 2001.
 A novel method for fault detection in electrical motors.
F. M. Atay, T. Durakbasa, A. Duyar.
Sound and Vibration, 35(2):2629, 2001.
2000
 Magnetic saturation and steadystate analysis of electrical motors.
F. M. Atay.
Applied Math. Modelling, 24(11):827842, 2000.

Identification of
compressor faults through model based fault detection approach.
E. Albas, V. Eldem, and F. M. Atay.
In Proc. 2000 International Compressor Engineering Conference
at Purdue (W. Soedel, ed.), 539546, Purdue University, West Lafayette, IN, 2000.
1999
 Recovering smooth
dynamics from time series with the aid of recurrence plots.
F. M. Atay and Y. Altintas.
Physical Review E, 59(6):65936598, 1999.
 Balancing the inverted pendulum using position
feedback.
F. M. Atay.
Applied Math. Letters, 12:5156, 1999.
 Modelling and identification of saturation in electrical machinery.
F. M. Atay, E. Albas, and V. Eldem. In Integrating
Dynamics, Condition Monitoring and Control for the 21st Century (A. G. Starr
et al., eds.), 343347, A. A. Balkema,
Rotterdam, 1999.

Development of a modelbased fault detection system for
electrical motors.
F. M. Atay, E. Albas, Y. Aktunc, and T.
Durakbasa. Otomasyon, 86:2629, 1999.
1998
 Modeling reflex asymmetries with implicit delay differential equations.
F. M. Atay and J. MalletParet.
Bull. Math. Biology, 60(6):9991015, 1998.
 Van der Pol's oscillator under delayed feedback.
F. M. Atay.
J. Sound and Vibration, 218(2):333339, 1998.
1997
 Phasespace reconstruction in
Hamiltonian systems through multiple time series.
F. M. Atay and E. Yurtsever.
Chemical Physics Letters, 276(34):282288, 1997.
 Laser beam propagation in a saturable absorber.
A. Sennaroglu, F. M. Atay, and A. Askar.
J. Optical Society of America B, 14(10):25772583, 1997.
 A quantitative study of laser beam propagation in a thermally loaded absorber.
A. Sennaroglu, A. Askar, and F. M. Atay.
J. Optical Society of America B, 14(2):356363, 1997.
 Stability, feedback, and delays.
F. M. Atay. In Proc. 15th International System Dynamics Conference
(Y. Barlas, V. G. Diker, and S. Polat, eds.), 699702, Istanbul, Turkey, 1997.
1996
 Laser beam propagation in a thermally loaded absorber.
A. Sennaroglu, A. Askar, and F. M. Atay. In OSA TOPS on Advanced
SolidState Lasers (S.A. Payne and C. Pollock, eds.), Vol. 1,
222226. Optical Society of America, Washington D.C., 1996.
 Laser beam propagation in a thermally loaded absorber.
A. Sennaroglu, A. Askar, and F. M. Atay. In Advanced SolidState
Lasers, 1996 Technical Digest, 418420. Optical Society of America,
Washington D.C., 1996.
 A stabilizing mechanism in the pupil light reflex.
F. M. Atay. In COMCON 5: The 5th International Conference on Advances
in Communication and Control (W. Wells, ed.),
853857, Crete, Greece, 1996.
Earlier

A differentialdelay equation arising in the
modelling of the pupil light reflex.
F. M. Atay. Ph.D. Thesis, Brown University, RI, 1994.
 Reachability and controllability subspaces for singular systems:
A matrix pencil characterization.
F. M. Atay and K. Ozcaldiran. In Realization and Modelling in System Theory
(M. A. Kaashoek, J. H. Van Schuppen, and A. C. M. Ran, eds.), Vol. 1,
241246. Birkhäuser Boston, 1990.
 A characterization of the reachability
subspaces of singular systems through matrix pencils.
F. M. Atay. M.S. Thesis,
Bogazici University, Istanbul, 1989.