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**Forthcoming**

- F. M. Atay and S. Liu. Cheeger constants, structural balance, and spectral clustering analysis for signed graphs. Preprint.
- W. Lu and F. M. Atay. Stability of phase difference trajectories of networks of Kuramoto oscillators with time-varying couplings and intrinsic frequencies.
*SIAM J. Appl. Dynamical Systems*, 17(1):457–483, 2018. - F. M. Atay and L. Roncoroni. Lumpability of linear evolution equations in Banach spaces.
*Evolution Equations and Control Theory*6(1):15–34, 2017. - F. M. Atay. On the duality between consensus problems and Markov processes, with application to delay systems.
*Markov Processes and Related Fields*22(3):537–553, 2016. - F. M. Atay and B. Hua. On the symmetry of the Laplacian spectra of signed graphs.
*Linear Algebra and its Applications*495:24–37, 2016. - W. Lu and F. M. Atay. Local pinning of networks of multi-agent systems with transmission and pinning delays.
*IEEE Trans. Automatic Control*61(9):2657–2662, 2016. - Ö. Karabacak, B. Alikoç, F. M. Atay. Stability regions for synchronized τ-periodic orbits of coupled maps with coupling delay τ.
*Chaos*26(9):093101, 2016. - L. Horstmeyer and F. M. Atay. Characterization of exact lumpability for vector fields on smooth manifolds.
*Differential Geometry and its Applications*48:46–60, 2016. - F. M. Atay, S. Banisch, Ph. Blanchard, B. Cessac, E. Olbrich, D. Volchenkov. Perspectives on multi-level dynamics.
*Discontinuity, Nonlinearity, and Complexity*5(3):313–339, 2016. - F. M. Atay. Controlling oscillations in nonlinear systems with delayed output feedback. In
*Control of Self-Organizing Nonlinear Systems*(E. Schöll, S. Klapp, P. Hövel, eds.) 65–79, Springer, Berlin, 2016. - F. M. Atay and D. Irofti. A delayed consensus algorithm in networks of anticipatory agents. In
*Proc. ECC 2016: European Control Conference*, 1880–1885, 2016. - D. Irofti and F. M. Atay. On the delay margin for consensus in directed networks of anticipatory agents.
*IFAC-PapersOnLine*49(10):206–-211, 2016.*(13th IFAC Workshop on Time Delay Systems, TDS 2016.)* - F. M. Atay and H. Ruan. Symmetry analysis of coupled scalar systems under time delay.
*Nonlinearity*22:795–824, 2015. - N. Punetha, R. Ramaswamy, and F. M. Atay. Bipartite networks of oscillators with distributed delays: Synchronization branches and multistability.
*Physical Review E*91:042906, 2015. - N. Punetha, S. Ujjwal, F. M. Atay, and R. Ramaswamy. Delay-induced remote synchronization in bipartite networks of phase oscillators.
*Physical Review E*91:022922, 2015. - R. Sipahi, F. M. Atay, and S.-I. Niculescu. Stability analysis of a constant time-headway driving strategy with driver memory effects modeled with distributed delays.
*IFAC-PapersOnLine*48(12):376–381, 2015. - F. M. Atay and H. Tuncel. On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication.
*Linear Algebra and its Applications*442:165–177, 2014. - S. Louca and F. M. Atay. Spatially structured networks of pulse-coupled phase oscillators on metric spaces.
*Discrete and Continuous Dynamical Systems A*34(9):3703–3745, 2014. - W. Lu, F. M. Atay, and J. Jost. Consensus in networks of discrete-time multi-agent systems: Dynamical topologies and delays. In
*Delay Systems: From Theory to Numerics and Applications*(T. Vyhlidal et al., eds.), 155–168, Springer, Berlin, 2014. - F. M. Atay. Some novel dynamics in delay-coupled networks of dynamical systems. In
*AIP Conf. Proceedings*1582:148–157, 2014. - F. M. Atay. Network consensus under distributed transmission delays. In
*Proc. ECC 2014: European Control Conference*, 1110–1114, 2014. - F. M. Atay. The consensus problem in networks with transmission delays.
*Phil. Trans. Royal Society A*371:20120460, 2013. - S. Louca and F. M. Atay. Stationary states in infinite networks of spiking oscillators with noise.
*SIAM J. Applied Dynamical Systems*12(1):415–449, 2013. - S. Jalan, F. M. Atay, and J. Jost. Inferring global synchrony from local symbolic dynamics. In
*Applications of Chaos and Nonlinear Dynamics in Science and Engineering*(S. Banerjee and L. Rondoni, eds.) Vol. 3, 161–170, Springer, Berlin, 2013. - W. Qiao, F. M. Atay, and R. Sipahi. Graph Laplacian design for fast consensus of a LTI System with heterogeneous agent couplings and homogeneous inter-agent delays. In
*Proc. ASME 2013 Dynamic Systems and Control Conference*, Paper No. DSCC2013-4020, pp. V002T21A006 (8 pages), 2013. - F. Lagzi, F. M. Atay, and S. Rotter. Nonlinear dynamics of large-scale activity in “networks of networks”.
*BMC Neuroscience*14(Suppl 1):P331, 2013. - J. T. Lizier, F. M. Atay, and J. Jost. Information storage, loop motifs, and clustered structure in complex networks.
*Physical Review E*86:026110, 2012. - F. M. Atay. On delay-induced stability in diffusively coupled dynamical systems.
*Afrika Matematika*23:109–119, 2012. (Invited article for Springer inaugural issue.) - F. M. Atay. Consensus in networks under transmission delays and the normalized Laplacian. In
*Time Delay Systems – Methods, Applications and New Trends*(R. Sipahi et al., eds.), Lect. Notes in Control and Information Sciences 423:407–416, 2012. - F. M. Atay. Patterns of synchrony in networks of coupled oscillators.
*Oberwolfach Reports*vol.9, pp. 3581–82, 2012. - M. Kirkilionis and F. M. Atay. Introduction to Special Issue ECCS’10 in Theory in Biosciences.
*Theory in Biosciences*131:59–60, 2012. - A. Spiegler, T. R. Knoesche, K. Schwab, J. Haueisen, F. M. Atay. Modeling brain resonance phenomena using a neural mass model.
*PLoS Computational Biology*7(12):e1002298, 2011. - F. M. Atay. Synchronization and emergence in complex systems.
*Pramana*77(5):855–863, 2011. - G. C. Sethia, A. Sen, and F. M. Atay. Phase locked solutions and their stability in the presence of propagation delays.
*Pramana*77(5):905–915, 2011. - W. Lu, F. M. Atay, and J. Jost. Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays.
*Networks and Heterogeneous Media*6:329–349, 2011. - C. Masoller and F. M. Atay. Complex transitions to synchronization in delay-coupled networks of logistic maps.
*European Physical Journal D*62:119–126, 2011. - F. M. Atay and J. Jost. Qualitative inference in dynamical systems. In
*Handbook of Statistical Systems Biology*(M. P. H. Stumpf, D. J. Balding, and M. Girolami, eds.), 339–358, John Wiley & Sons Ltd., Chichester, UK, 2011. - W. Lu, F. M. Atay, and J. Jost. Consensus and synchronization in delayed networks of mobile multi-agents. In
*Proc. 18th IFAC World Congress*, 2362–2367, 2011. - A. Spiegler, T. R. Knoesche, J. Haueisen, and F. M. Atay. Complex behavior in a modified Jansen and Rit neural mass model.
*BMC Neuroscience*12(Suppl 1):P5, 2011. - F. M. Atay (ed.). Complex Time-Delay Systems. Springer-Verlag Berlin, 2010.

- F. M. Atay, S. Jalan, and J. Jost. Symbolic dynamics and synchronization of coupled map networks with multiple delays.
*Physics Letters A*375:130–135, 2010. - M. Deger, M. Helias, S. Cardanobile, F. M. Atay, and S. Rotter. Nonequilibrium dynamics of stochastic point processes with refractoriness.
*Physical Review E*82:021129, 2010. - A. Spiegler, S. J. Kiebel, F. M. Atay, and T. R. Knoesche. Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants.
*NeuroImage*52:1041–1058, 2010. - G. C. Sethia, A. Sen, and F. M. Atay. Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays.
*Physical Review E*81:056213, 2010. - F. Bauer, F. M. Atay, and J. Jost. Synchronized chaos in networks of simple units.
*EPL (Europhysics Letters)*89:20002, 2010. - F. M. Atay. Delay-induced stability: From oscillators to networks. In
*Complex Time-Delay Systems*(F. M. Atay, ed.), 45–62, Springer-Verlag Berlin 2010. - F. M. Atay. Consensus in networks under transmission delays and the normalized Laplacian. In
*Proc. 9th IFAC Workshop on Time Delay Systems*, 277–282, 2010. - F. M. Atay. Consensus in networks under transmission delays and the normalized Laplacian.
*Ulmer Seminare — Funktionalanalysis und Evolutionsgleichungen*15:11–20, 2010. - A. Spiegler, T. R. Knoesche, and F. M. Atay. Periodically forced neural mass model: entrainment and complex behavior.
*BMC Neuroscience*11(Suppl 1):P7, 2010. - F. Bauer, F. M. Atay, and J. Jost. Synchronization in discrete-time networks with general pairwise coupling.
*Nonlinearity*22:2333–2351, 2009. - F. M. Atay, S. Jalan, and J. Jost. Randomness, chaos, and structure.
*Complexity*15:29–35, 2009. - F. M. Atay. Synchronization and amplitude death in coupled limit cycle oscillators with time delays. In
*Topics in Time Delay Systems*(J. J. Loiseau et al., eds.), Lect. Notes in Control and Information Sciences 388:383–389, 2009. - F. M. Atay. Stability of diffusively coupled difference equations with delays. In
*Proc. ICDEA 2008: 14th Int. Conf. on Difference Equations and Applications*(M. Bohner et al., ed.), 133–139, 2009. - F. M. Atay. Delayed feedback control near Hopf bifurcation.
*Discrete and Continuous Dynamical Systems – S*1:197–205, 2008. - W. Lu, F. M. Atay, and J. Jost. Chaos synchronization in networks of coupled maps with time-varying topologies.
*European Physical Journal B*63:399–406, 2008. - G. C. Sethia, A. Sen, and F. M. Atay. Clustered chimera states in delay-coupled oscillator systems.
*Physical Review Letters*100:144102, 2008. - R. Sipahi, F. M. Atay, and S.-I. Niculescu. Stability of traffic flow behavior with distributed delays modeling the memory effects of the drivers.
*SIAM J. Applied Math.*68(3):738–759, 2007. - W. Lu, F. M. Atay, and J. Jost. Synchronization of discrete-time dynamical networks with time-varying couplings.
*SIAM J. Math. Analysis*39(4):1231–1259, 2007. - A. Hutt and F. M. Atay. Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay.
*Chaos, Solitons & Fractals*32:547–560, 2007. - F. M. Atay. Networks with delays. In
*Network: From Biology to Theory*, (J. Feng, J. Jost and M. Qian, eds.), 23–33, Springer-Verlag, 2007. - F. M. Atay and A. Hutt. Dynamics of neural fields with distributed transmission speeds. In
*Mathematical Modeling of Biological Systems, Vol. II*(A. Deutsch et al., ed.), 213–221, Birkhäuser Boston, 2007. - R. Sipahi, S.-I. Niculescu, and F. M. Atay. Effects of short-term memory of drivers on stability interpretations of traffic flow dynamic dynamics. In
*Proc. American Control Conf. 2007*, 3112–3117, New York, NY, 2007. - F. M. Atay and A. Hutt. Neural fields with distributed transmission speeds and long-range feedback delays.
*SIAM J. Appl. Dynamical Systems*5:670–698, 2006. - F. M. Atay, T. Biyikoglu, and J. Jost. Network synchronization: Spectral versus statistical properties.
*Physica D*224:35–41, 2006. - F. M. Atay and O. Karabacak. Stability of coupled map networks with delays.
*SIAM J. Appl. Dynamical Systems*5:508–527, 2006. - S. Jalan, J. Jost, and F. M. Atay. Symbolic synchronization and the detection of global properties of coupled dynamics from local information.
*Chaos*16:033124, 2006. - F. M. Atay. Oscillator death in coupled functional differential equations near Hopf bifurcation.
*J. Differential Equations*221(1):190–209, 2006. - A. Hutt and F. M. Atay. Effects of distributed transmission speeds on propagating activity in neural populations.
*Physical Review E*73(2):021906, 2006. - F. M. Atay, T. Biyikoglu, and J. Jost. Synchronization of networks with prescribed degree distributions.
*IEEE Trans. Circuits and Systems I*, 53(1):92–98, 2006. - F. M. Atay and A. Hutt. Stability and bifurcations in neural fields with finite propagation speed and general connectivity.
*SIAM J. Applied Math.*65(2):644–666, 2005. - F. M. Atay and T. Biyikoglu. Graph operations and synchronization of complex networks.
*Physical Review E*72:016217, 2005. - A. Hutt and F. M. Atay. Analysis of nonlocal neural fields for both general and gamma-distributed connectivities.
*Physica D*203(1–2):30–54, 2005. - F. M. Atay. Stability of coupled delay differential equations near Hopf bifurcation. In
*Proc. EQUADIFF 2003: International Conference on Differential Equations*(F. Dumortier et al., ed.), 1027–1030, Hasselt, Belgium, 2003 (World Scientific, 2005). - F. M. Atay and J. Jost. Kopplung von Dynamiken und Strukturbildung.

In*Max-Planck-Gesellschaft: Jahrbuch 2005*, p. 375–378, Max-Planck-Gesellschaft, Muenchen, 2005. - F. M. Atay, J. Jost, and A. Wende. Delays, connection topology, and synchronization of coupled chaotic maps.
*Physical Review Letters*92(14):144101, 2004. - F. M. Atay and J. Jost. On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements.
*Complexity*10(1):17–22, 2004. - F. M. Atay. Distributed delays facilitate amplitude death of coupled oscillators.
*Physical Review Letters*91(9):094101, 2003. - F. M. Atay. Total and partial amplitude death in networks of diffusively coupled oscillators.
*Physica D*183(1–2):1–18, 2003. - F. M. Atay. Synchronization and death in delay-coupled van der Pol oscillators.In
*Proc. NDES 2003: The 11th Workshop on Nonlinear Dynamics of Electronic Systems*(R. Stoop, ed.), 21–24, Scuol, Switzerland, 2003. - F. M. Atay. Delayed-feedback control of oscillations in non-linear planar systems.
*Int. J. Control*75(5):297–304, 2002. - F. M. Atay. Oscillation control in delayed feedback systems. In
*Dynamics, Bifurcations, and Control*(F. Colonius, L. Grüne, eds.), Lect. Notes in Control and Information Sciences 273:103–116, 2002. - F. M. Atay. Partial amplitude death in diffusively coupled oscillators. In
*Proc. NDES 2002: The 10th Workshop on Nonlinear Dynamics of Electronic Systems*, 4:5–8, Cesme, Turkey, 2002. - U. Erdemir, U. Tekin, F. M. Atay, and A. Ercil. Two-dimensional object recognition using power spectrum. In
*Proc. SIU 2002: The 10th Congress on Signal Processing and Applications*(E. Panayirci, ed.), Vol. 2, 1044–1049, Pamukkale, Turkey, 2002. - F. M. Atay. Periodic solutions of delay-differential equations with a restorative condition.
*Nonlinear Analysis TMA*45(5):555–576, 2001. - F. M. Atay, T. Durakbasa, A. Duyar. A novel method for fault detection in electrical motors.
*Sound and Vibration*35(2):26–29, 2001. - F. M. Atay. Magnetic saturation and steady-state analysis of electrical motors.
*Applied Math. Modelling*24(11):827–842, 2000. - E. Albas, V. Eldem, and F. M. Atay. Identification of compressor faults through model based fault detection approach. In
*Proc. 2000 International Compressor Engineering Conference at Purdue*(W. Soedel, ed.), 539–546, Purdue University, West Lafayette, IN, 2000. - F. M. Atay and Y. Altintas. Recovering smooth dynamics from time series with the aid of recurrence plots.
*Physical Review E*59(6):6593–6598, 1999. - F. M. Atay. Balancing the inverted pendulum using position feedback.
*Applied Math. Letters*12:51–56, 1999. - F. M. Atay, E. Albas, and V. Eldem. Modelling and identification of saturation in electrical machinery. In
*Integrating Dynamics, Condition Monitoring and Control for the 21st Century*(A. G. Starr et al., eds.), 343–347, A. A. Balkema, Rotterdam, 1999. - F. M. Atay, E. Albas, Y. Aktunc, and T. Durakbasa. Development of a model-based fault detection system for electrical motors.
*Otomasyon*86:26–29, 1999. - F. M. Atay and J. Mallet-Paret. Modeling reflex asymmetries with implicit delay differential equations.
*Bull. Math. Biology*60(6):999–1015, 1998. - F. M. Atay. Van der Pol’s oscillator under delayed feedback.
*J. Sound and Vibration*218(2):333–339, 1998. - F. M. Atay and E. Yurtsever. Phase-space reconstruction in Hamiltonian systems through multiple time series.
*Chemical Physics Letters*276(3-4):282–288, 1997. - A. Sennaroglu, F. M. Atay, and A. Askar. Laser beam propagation in a saturable absorber.
*J. Optical Society of America B*14(10):2577–2583, 1997. - A. Sennaroglu, A. Askar, and F. M. Atay. A quantitative study of laser beam propagation in a thermally loaded absorber.
*J. Optical Society of America B*14(2):356–363, 1997. - F. M. Atay. Stability, feedback, and delays. In
*Proc. 15th International System Dynamics Conference*(Y. Barlas, V. G. Diker, and S. Polat, eds.), 699–702, Istanbul, Turkey, 1997. - A. Sennaroglu, A. Askar, and F. M. Atay. Laser beam propagation in a thermally loaded absorber. In
*OSA TOPS on Advanced Solid-State Lasers*(S.A. Payne and C. Pollock, eds.), Vol. 1, 222–226. Optical Society of America, Washington D.C., 1996. - A. Sennaroglu, A. Askar, and F. M. Atay. Laser beam propagation in a thermally loaded absorber. In
*Advanced Solid-State Lasers, 1996 Technical Digest*, 418–420. Optical Society of America, Washington D.C., 1996. - F. M. Atay. A stabilizing mechanism in the pupil light reflex.

In*COMCON 5: The 5th International Conference on Advances in Communication and Control*(W. Wells, ed.), 853–857, Crete, Greece, 1996. - F. M. Atay.
*A differential-delay equation arising in the modelling of the pupil light reflex.*Ph.D. Thesis, Brown University, RI, 1994. - F. M. Atay and K. Ozcaldiran. Reachability and controllability subspaces for singular systems: A matrix pencil characterization. In
*Realization and Modelling in System Theory*(M. A. Kaashoek, J. H. Van Schuppen, and A. C. M. Ran, eds.), Vol. 1, 241–246. Birkhäuser Boston, 1990. - F. M. Atay.
*A characterization of the reachability subspaces of singular systems through matrix pencils*. M.S. Thesis, Bogazici University, Istanbul, 1989.

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