Publications


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ctds


    Books

  1. F. M. Atay (ed.). Complex Time-Delay Systems. Springer-Verlag Berlin, 2010.

  2. Journal Articles

  3. 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, to appear.
  4. F. M. Atay and L. Roncoroni. Lumpability of linear evolution equations in Banach spaces. Evolution Equations and Control Theory 6(1):15–34, 2017. Publisher's site
  5. 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. Publisher's site Preprint
  6. 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. Publisher's site Preprint
  7. 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. Publisher's site
  8. 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. Publisher's site Preprint
  9. 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. Publisher's site Preprint
  10. 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. Publisher's site Preprint
  11. F. M. Atay and H. Ruan. Symmetry analysis of coupled scalar systems under time delay. Nonlinearity 22:795–824, 2015. Publisher's site Preprint
  12. 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. Publisher's site Preprint
  13. 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. Publisher's site Preprint
  14. 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. Publisher's site Preprint
  15. 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. Publisher's site Preprint
  16. F. M. Atay. The consensus problem in networks with transmission delays. Phil. Trans. Royal Society A 371:20120460, 2013. Publisher's site
  17. 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. Publisher's site Preprint
  18. 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. Publisher's site Preprint
  19. F. M. Atay. On delay-induced stability in diffusively coupled dynamical systems. Afrika Matematika 23:109–119, 2012. (Invited article for Springer inaugural issue.) Publisher's site
  20. 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. Publisher's site Preprint
  21. F. M. Atay. Synchronization and emergence in complex systems. Pramana 77(5):855–863, 2011. Publisher's site Preprint
  22. 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. Publisher's site Preprint
  23. 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. Publisher's site Preprint
  24. 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. Publisher's site Preprint
  25. 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. Publisher's site Preprint
  26. 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. Publisher's site Preprint
  27. 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. Publisher's site
  28. 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. Publisher's site Preprint
  29. F. Bauer, F. M. Atay, and J. Jost. Synchronized chaos in networks of simple units. EPL (Europhysics Letters) 89:20002, 2010. Publisher's site Preprint
  30. F. Bauer, F. M. Atay, and J. Jost. Synchronization in discrete-time networks with general pairwise coupling. Nonlinearity 22:2333–2351, 2009. Publisher's site Preprint
  31. F. M. Atay, S. Jalan, and J. Jost. Randomness, chaos, and structure. Complexity 15:29–35, 2009. Publisher's site Preprint
  32. F. M. Atay. Delayed feedback control near Hopf bifurcation. Discrete and Continuous Dynamical Systems – S 1:197–205, 2008. Publisher's site Preprint
  33. 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. Publisher's site Preprint
  34. G. C. Sethia, A. Sen, and F. M. Atay. Clustered chimera states in delay-coupled oscillator systems. Physical Review Letters 100:144102, 2008. Publisher's site Preprint
  35. 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. Publisher's site Preprint
  36. 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. Publisher's site Preprint
  37. 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. Publisher's site Preprint
  38. 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. Publisher's site Preprint
  39. F. M. Atay, T. Biyikoglu, and J. Jost. Network synchronization: Spectral versus statistical properties. Physica D 224:35–41, 2006. Publisher's site Preprint
  40. F. M. Atay and O. Karabacak. Stability of coupled map networks with delays. SIAM J. Appl. Dynamical Systems 5:508–527, 2006. Publisher's site Preprint
  41. 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. Publisher's site Preprint
  42. F. M. Atay. Oscillator death in coupled functional differential equations near Hopf bifurcation. J. Differential Equations 221(1):190–209, 2006. Publisher's site Preprint
  43. A. Hutt and F. M. Atay. Effects of distributed transmission speeds on propagating activity in neural populations. Physical Review E 73(2):021906, 2006. Publisher's site Preprint
  44. 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. Publisher's site Preprint
  45. F. M. Atay and T. Biyikoglu. Graph operations and synchronization of complex networks. Physical Review E 72:016217, 2005. Publisher's site Preprint
  46. 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. Publisher's site Preprint
  47. 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. Publisher's site Preprint
  48. F. M. Atay, J. Jost, and A. Wende. Delays, connection topology, and synchronization of coupled chaotic maps. Physical Review Letters 92(14):144101, 2004. Publisher's site Preprint
  49. 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. Publisher's site Preprint
  50. F. M. Atay. Total and partial amplitude death in networks of diffusively coupled oscillators. Physica D 183(1–2):1–18, 2003. Publisher's site Preprint
  51. F. M. Atay. Distributed delays facilitate amplitude death of coupled oscillators. Physical Review Letters 91(9):094101, 2003. Publisher's site Preprint
  52. F. M. Atay. Delayed-feedback control of oscillations in non-linear planar systems. Int. J. Control 75(5):297–304, 2002. Publisher's site Preprint
  53. F. M. Atay. Periodic solutions of delay-differential equations with a restorative condition. Nonlinear Analysis TMA 45(5):555–576, 2001. Publisher's site Preprint
  54. F. M. Atay, T. Durakbasa, A. Duyar. A novel method for fault detection in electrical motors. Sound and Vibration 35(2):26–29, 2001.
  55. F. M. Atay. Magnetic saturation and steady-state analysis of electrical motors. Applied Math. Modelling 24(11):827–842, 2000. Publisher's site Preprint
  56. 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. Publisher's site Preprint
  57. F. M. Atay. Balancing the inverted pendulum using position feedback. Applied Math. Letters 12:51–56, 1999. Publisher's site Preprint
  58. F. M. Atay and J. Mallet-Paret. Modeling reflex asymmetries with implicit delay differential equations. Bull. Math. Biology 60(6):999–1015, 1998. Publisher's site Preprint
  59. F. M. Atay. Van der Pol’s oscillator under delayed feedback. J. Sound and Vibration 218(2):333–339, 1998. Publisher's site Preprint
  60. 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. Publisher's site Preprint
  61. 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. Publisher's site
  62. 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. Publisher's site

  63. Book Chapters

  64. 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. Publisher's site
  65. 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. Publisher's site
  66. 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. Publisher's site
  67. 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. Publisher's site
  68. 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. Publisher's site
  69. 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. Publisher's site
  70. 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. Publisher's site
  71. 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. Publisher's site
  72. 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. Publisher's site
  73. 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. Publisher's site Preprint
  74. 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.
  75. 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.

  76. Refereed Conference Proceedings

  77. 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.
  78. 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.) Publisher's site
  79. 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. Publisher's site Preprint
  80. F. M. Atay. Network consensus under distributed transmission delays. In Proc. ECC 2014: European Control Conference, 1110–1114, 2014. Publisher's site
  81. F. M. Atay. Some novel dynamics in delay-coupled networks of dynamical systems. In AIP Conf. Proceedings 1582:148–157, 2014. Publisher's site
  82. 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. Publisher's site
  83. 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. Publisher's site
  84. 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. Publisher's site
  85. 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. Publisher's site
  86. 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. Publisher's site
  87. 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).
  88. 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.
  89. 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.
  90. 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.
  91. 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.
  92. 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.
  93. 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.
  94. 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.
  95. 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.

  96. Other Publications

  97. 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. Publisher's site
  98. F. M. Atay. Patterns of synchrony in networks of coupled oscillators. Oberwolfach Reports vol.9, pp. 3581–82, 2012. Publisher's site
  99. M. Kirkilionis and F. M. Atay. Introduction to Special Issue ECCS’10 in Theory in Biosciences. Theory in Biosciences 131:59–60, 2012. Publisher's site
  100. 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. Publisher's site
  101. F. M. Atay. Consensus in networks under transmission delays and the normalized Laplacian. Ulmer Seminare — Funktionalanalysis und Evolutionsgleichungen 15:11–20, 2010.
  102. 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. Publisher's site
  103. 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.
  104. 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.

  105. Dissertations

  106. F. M. Atay. A differential-delay equation arising in the modelling of the pupil light reflex. Ph.D. Thesis, Brown University, RI, 1994.
  107. F. M. Atay. A characterization of the reachability subspaces of singular systems through matrix pencils. M.S. Thesis, Bogazici University, Istanbul, 1989.