Publications        (sort by type)



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    Forthcoming

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

  2. Local pinning of networks of multi-agent systems with transmission and pinning delays. Preprint
    W. Lu and F. M. Atay. IEEE Trans. Automatic Control, to appear, 2016.

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

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

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


    2016

  6. On the symmetry of the Laplacian spectra of signed graphs. Preprint
    F. M. Atay and B. Hua. Linear Algebra and its Applications, 495:24-37, 2016. Publisher's site

  7. Controlling oscillations in nonlinear systems with delayed output feedback.
    F. M. Atay. In Control of Self-Organizing Nonlinear Systems (E. Schöll, S. Klapp, P. Hövel, eds.) 65-79, Springer, Berlin, 2016. Publisher's site


    2015

  8. Symmetry analysis of coupled scalar systems under time delay. Preprint
    F. M. Atay and H. Ruan. Nonlinearity, 22:795-824, 2015. Publisher's site

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

  10. Delay-induced remote synchronization in bipartite networks of phase oscillators. Preprint
    N. Punetha, S. Ujjwal, F. M. Atay, and R. Ramaswamy. Physical Review E 91:022922, 2015. Publisher's site

  11. Stability analysis of a constant time-headway driving strategy with driver memory effects modeled with distributed delays. Preprint
    R. Sipahi, F. M. Atay, and S.-I. Niculescu. IFAC-PapersOnLine, 48(12):376--381, 2015. Publisher's site


    2014

  12. On the spectrum of the normalized Laplacian for signed graphs: Interlacing, contraction, and replication. Preprint
    F. M. Atay and H. Tuncel. Linear Algebra and its Applications, 442:165-177, 2014. Publisher's site

  13. Spatially structured networks of pulse-coupled phase oscillators on metric spaces. Preprint
    S. Louca and F. M. Atay. Discrete and Continuous Dynamical Systems A, 34(9):3703-3745, 2014. Publisher's site

  14. Consensus in networks of discrete-time multi-agent 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.), 155-168, Springer, Berlin, 2014. Publisher's site

  15. Some novel dynamics in delay-coupled networks of dynamical systems.
    F. M. Atay. In AIP Conf. Proceedings, 1582:148-157, 2014. Publisher's site

  16. Network consensus under distributed transmission delays.
    F. M. Atay. In Proc. ECC 2014: European Control Conference, 1110--14, 2014. Publisher's site


    2013

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

  18. Stationary states in infinite networks of spiking oscillators with noise. Preprint
    S. Louca and F. M. Atay. SIAM J. Applied Dynamical Systems, 12(1):415-449, 2013. Publisher's site

  19. 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, 161-170, Springer, Berlin, 2013. Publisher's site

  20. Graph Laplacian design for fast consensus of a LTI System with heterogeneous agent couplings and homogeneous inter-agent delays.
    W. Qiao, F. M. Atay, and R. Sipahi. In Proc. ASME 2013 Dynamic Systems and Control Conference, Paper No. DSCC2013-4020, pp. V002T21A006 (8 pages), 2013. Publisher's site

  21. Nonlinear dynamics of large-scale activity in "networks of networks".
    F. Lagzi, F. M. Atay, and S. Rotter. BMC Neuroscience 14(Suppl 1):P331, 2013. Publisher's site


    2012

  22. Information storage, loop motifs, and clustered structure in complex networks Preprint
    J. T. Lizier, F. M. Atay, and J. Jost. Physical Review E, 86:026110, 2012. Publisher's site

  23. On delay-induced stability in diffusively coupled dynamical systems.
    F. M. Atay. Afrika Matematika, 23:109-119, 2012. (Invited article for Springer inaugural issue.) Publisher's site

  24. 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, 423:407-416, 2012. Publisher's site

  25. Patterns of synchrony in networks of coupled oscillators.
    F. M. Atay. Oberwolfach Reports vol.9, pp. 3581-82, 2012. Publisher's site

  26. Introduction to Special Issue ECCS'10 in Theory in Biosciences.
    M. Kirkilionis and F. M. Atay. Theory in Biosciences 131:59-60, 2012. Publisher's site


    2011

  27. Modeling brain resonance phenomena using a neural mass model. Preprint
    A. Spiegler, T. R. Knoesche, K. Schwab, J. Haueisen, F. M. Atay. PLoS Computational Biology, 7(12):e1002298, 2011. Publisher's site

  28. Synchronization and emergence in complex systems. Preprint
    F. M. Atay. Pramana, 77(5):855-863, 2011. Publisher's site

  29. Phase locked solutions and their stability in the presence of propagation delays. Preprint
    G. C. Sethia, A. Sen, and F. M. Atay. Pramana, 77(5):905-915, 2011. Publisher's site

  30. Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays. Preprint
    W. Lu, F. M. Atay, and J. Jost. Networks and Heterogeneous Media, 6:329-349, 2011. Publisher's site

  31. Complex transitions to synchronization in delay-coupled networks of logistic maps. Preprint
    C. Masoller and F. M. Atay. European Physical Journal D, 62:119-126, 2011. Publisher's site

  32. 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.), 339-358, John Wiley & Sons Ltd., Chichester, UK, 2011. Publisher's site

  33. Consensus and synchronization in delayed networks of mobile multi-agents.
    W. Lu, F. M. Atay, and J. Jost. In Proc. 18th IFAC World Congress, 2362-2367, 2011. Publisher's site

  34. 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. Publisher's site


    2010

  35. Complex Time-Delay Systems. F. M. Atay (ed.), Springer-Verlag Berlin, 2010. Publisher's site

  36. Symbolic dynamics and synchronization of coupled map networks with multiple delays. Preprint
    F. M. Atay, S. Jalan, and J. Jost. Physics Letters A, 375:130-135, 2010. Publisher's site

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

  38. 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, 52:1041-1058, 2010. Publisher's site

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

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

  41. Delay-induced stability: From oscillators to networks.
    F. M. Atay. In Complex Time-Delay Systems (F. M. Atay, ed.), 45-62, Springer-Verlag Berlin 2010. Publisher's site

  42. Consensus in networks under transmission delays and the normalized Laplacian.
    F. M. Atay. In Proc. 9th IFAC Workshop on Time Delay Systems, 277-282, 2010. Publisher's site

  43. Consensus in networks under transmission delays and the normalized Laplacian.
    F. M. Atay. Ulmer Seminare -- Funktionalanalysis und Evolutionsgleichungen, 15:11-20, 2010.

  44. 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. Publisher's site


    2009

  45. Synchronization in discrete-time networks with general pairwise coupling. Preprint
    F. Bauer, F. M. Atay, and J. Jost. Nonlinearity, 22:2333-2351, 2009. Publisher's site

  46. Randomness, chaos, and structure. Preprint
    F. M. Atay, S. Jalan, and J. Jost. Complexity, 15:29-35, 2009. Publisher's site

  47. 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, 388:383-389, 2009. Publisher's site

  48. 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.), 133-139, 2009. Publisher's site


    2008

  49. Delayed feedback control near Hopf bifurcation. Preprint
    F. M. Atay. Discrete and Continuous Dynamical Systems - S, 1:197-205, 2008. Publisher's site

  50. Chaos synchronization in networks of coupled maps with time-varying topologies. Preprint
    W. Lu, F. M. Atay, and J. Jost. European Physical Journal B, 63:399-406, 2008. Publisher's site

  51. Clustered chimera states in delay-coupled oscillator systems. Preprint
    G. C. Sethia, A. Sen, and F. M. Atay. Physical Review Letters, 100:144102, 2008. Publisher's site


    2007

  52. Stability of traffic flow behavior with distributed delays modeling the memory effects of the drivers. Preprint
    R. Sipahi, F. M. Atay, and S.-I. Niculescu. SIAM J. Applied Math., 68(3):738-759, 2007. Publisher's site

  53. Synchronization of discrete-time dynamical networks with time-varying couplings. Preprint
    W. Lu, F. M. Atay, and J. Jost. SIAM J. Math. Analysis, 39(4):1231-1259, 2007. Publisher's site

  54. Spontaneous and evoked activity in extended neural populations with gamma-distributed spatial interactions and transmission delay. Preprint
    A. Hutt and F. M. Atay. Chaos, Solitons & Fractals, 32:547-560, 2007. Publisher's site

  55. Networks with delays.
    F. M. Atay. In Network: From Biology to Theory, (J. Feng, J. Jost and M. Qian, eds.), 23-33, Springer-Verlag, 2007. Publisher's site

  56. 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.), 213-221, Birkhäuser Boston, 2007. Publisher's site

  57. Effects of short-term 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, 3112-3117, New York, NY, 2007. Publisher's site


    2006

  58. Neural fields with distributed transmission speeds and long-range feedback delays. Preprint
    F. M. Atay and A. Hutt. SIAM J. Appl. Dynamical Systems, 5:670-698, 2006. Publisher's site

  59. Network synchronization: Spectral versus statistical properties. Preprint
    F. M. Atay, T. Biyikoglu, and J. Jost. Physica D, 224:35-41, 2006. Publisher's site

  60. Stability of coupled map networks with delays. Preprint
    F. M. Atay and O. Karabacak. SIAM J. Appl. Dynamical Systems, 5:508-527, 2006. Publisher's site

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

  62. Oscillator death in coupled functional differential equations near Hopf bifurcation. Preprint
    F. M. Atay. J. Differential Equations, 221(1):190-209, 2006. Publisher's site

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

  64. Synchronization of networks with prescribed degree distributions. Preprint
    F. M. Atay, T. Biyikoglu, and J. Jost. IEEE Trans. Circuits and Systems I, 53(1):92-98, 2006. Publisher's site


    2005

  65. Graph operations and synchronization of complex networks. Preprint
    F. M. Atay and T. Biyikoglu. Physical Review E, 72:016217, 2005. Publisher's site

  66. Analysis of nonlocal neural fields for both general and gamma-distributed connectivities. Preprint
    A. Hutt and F. M. Atay. Physica D, 203(1-2):30-54, 2005. Publisher's site

  67. Stability and bifurcations in neural fields with finite propagation speed and general connectivity. Preprint
    F. M. Atay and A. Hutt. SIAM J. Applied Math., 65(2):644-666, 2005. Publisher's site

  68. 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.), 1027-1030, Hasselt, Belgium, 2003 (World Scientific, 2005).

  69. Kopplung von Dynamiken und Strukturbildung.
    F. M. Atay and J. Jost. In Max-Planck-Gesellschaft: Jahrbuch 2005, p. 375-378, Max-Planck-Gesellschaft, Muenchen, 2005.


    2004

  70. On the emergence of complex systems on the basis of the coordination of complex behaviors of their elements. Preprint
    F. M. Atay and J. Jost. Complexity, 10(1):17-22, 2004. Publisher's site

  71. Delays, connection topology, and synchronization of coupled chaotic maps. Preprint
    F. M. Atay, J. Jost, and A. Wende. Physical Review Letters, 92(14):144101, 2004. Publisher's site


    2003

  72. Total and partial amplitude death in networks of diffusively coupled oscillators. Preprint
    F. M. Atay. Physica D, 183(1-2):1-18, 2003. Publisher's site

  73. Distributed delays facilitate amplitude death of coupled oscillators. Preprint
    F. M. Atay. Physical Review Letters, 91(9):094101, 2003. Publisher's site

  74. Synchronization and death in delay-coupled van der Pol oscillators.
    F. M. Atay. In Proc. NDES 2003: The 11th Workshop on Nonlinear Dynamics of Electronic Systems (R. Stoop, ed.), 21-24, Scuol, Switzerland, 2003.


    2002

  75. Delayed-feedback control of oscillations in non-linear planar systems. Preprint
    F. M. Atay. Int. J. Control,75(5):297-304, 2002. Publisher's site

  76. Oscillation control in delayed feedback systems. Preprint
    F. M. Atay. In Dynamics, Bifurcations, and Control (F. Colonius, L. Grüne, eds.), Lect. Notes in Control and Information Sciences, 273:103-116, 2002. Publisher's site

  77. Partial amplitude death in diffusively coupled oscillators.
    F. M. Atay. In Proc. NDES 2002: The 10th Workshop on Nonlinear Dynamics of Electronic Systems, 4:5-8, Cesme, Turkey, 2002.

  78. Two-dimensional 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, 1044-1049, Pamukkale, Turkey, 2002.


    2001

  79. Periodic solutions of delay-differential equations with a restorative condition. Preprint
    F. M. Atay. Nonlinear Analysis TMA, 45(5):555-576, 2001. Publisher's site

  80. A novel method for fault detection in electrical motors.
    F. M. Atay, T. Durakbasa, A. Duyar. Sound and Vibration, 35(2):26-29, 2001.


    2000

  81. Magnetic saturation and steady-state analysis of electrical motors. Preprint
    F. M. Atay. Applied Math. Modelling, 24(11):827-842, 2000. Publisher's site

  82. 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.), 539-546, Purdue University, West Lafayette, IN, 2000.


    1999

  83. Recovering smooth dynamics from time series with the aid of recurrence plots. Preprint
    F. M. Atay and Y. Altintas. Physical Review E, 59(6):6593-6598, 1999. Publisher's site

  84. Balancing the inverted pendulum using position feedback. Preprint
    F. M. Atay. Applied Math. Letters, 12:51-56, 1999. Publisher's site

  85. 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.), 343-347, A. A. Balkema, Rotterdam, 1999.

  86. Development of a model-based fault detection system for electrical motors.
    F. M. Atay, E. Albas, Y. Aktunc, and T. Durakbasa. Otomasyon, 86:26-29, 1999.


    1998

  87. Modeling reflex asymmetries with implicit delay differential equations. Preprint
    F. M. Atay and J. Mallet-Paret. Bull. Math. Biology, 60(6):999-1015, 1998. Publisher's site

  88. Van der Pol's oscillator under delayed feedback. Preprint
    F. M. Atay. J. Sound and Vibration, 218(2):333-339, 1998. Publisher's site


    1997

  89. Phase-space reconstruction in Hamiltonian systems through multiple time series. Preprint
    F. M. Atay and E. Yurtsever. Chemical Physics Letters, 276(3-4):282-288, 1997. Publisher's site

  90. Laser beam propagation in a saturable absorber.
    A. Sennaroglu, F. M. Atay, and A. Askar. J. Optical Society of America B, 14(10):2577-2583, 1997. Publisher's site

  91. 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):356-363, 1997. Publisher's site

  92. Stability, feedback, and delays.
    F. M. Atay. In Proc. 15th International System Dynamics Conference (Y. Barlas, V. G. Diker, and S. Polat, eds.), 699-702, Istanbul, Turkey, 1997.


    1996

  93. Laser beam propagation in a thermally loaded absorber.
    A. Sennaroglu, A. Askar, and F. M. Atay. 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.

  94. Laser beam propagation in a thermally loaded absorber. A. Sennaroglu, A. Askar, and F. M. Atay. In Advanced Solid-State Lasers, 1996 Technical Digest, 418-420. Optical Society of America, Washington D.C., 1996.

  95. 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.), 853-857, Crete, Greece, 1996.


    Earlier

  96. A differential-delay equation arising in the modelling of the pupil light reflex.
    F. M. Atay. Ph.D. Thesis, Brown University, RI, 1994.

  97. 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, 241-246. Birkhäuser Boston, 1990.

  98. A characterization of the reachability subspaces of singular systems through matrix pencils.
    F. M. Atay. M.S. Thesis, Bogazici University, Istanbul, 1989.