Books
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Complex Time-Delay Systems. F. M. Atay (ed.), Springer-Verlag Berlin, 2010.
Book Chapters
- 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, 2012 (to appear).
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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.
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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.
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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.
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Networks with delays.
F. M. Atay. In Network: From Biology to Theory,
(J. Feng, J. Jost and M. Qian, eds.), 23-34, Springer-Verlag, 2007.
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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.
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Oscillation control in delayed feedback systems.
F. M. Atay.
In Dynamics, Bifurcations, and Control (F. Colunius, L. Grüne, eds.), Lect. Notes in Control and Information Sciences, 273:103-116, 2002.
- 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.
- 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.
Journal Articles
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On delay-induced stability in diffusively coupled dynamical systems.
F. M. Atay. Afrika Matematika, 2012 (to appear). (Invited article for Springer inaugural issue.)
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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.
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Synchronization and emergence in complex systems.

F. M. Atay. Pramana, 77(5):855-863, 2011.
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Phase locked solutions and their stability in the presence of propagation delays.

G. C. Sethia, A. Sen, and F. M. Atay. Pramana, 77(5):905-915, 2011.
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Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays.

W. Lu, F. M. Atay, and J. Jost. Networks and Heterogeneous Media, 6:329-349, 2011.
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Complex transitions to synchronization in delay-coupled networks of logistic maps.

C. Masoller and F. M. Atay. European Physical Journal D, 62:119-126, 2011.
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Symbolic dynamics and synchronization of coupled map networks with multiple delays.
F. M. Atay, S. Jalan, and J. Jost.
Physics Letters A, 375:130-135, 2010.
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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.
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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.
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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.
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Synchronized chaos in networks of simple units.
F. Bauer, F. M. Atay, and J. Jost. EPL (Europhysics Letters), 89:20002, 2010.
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Synchronization in discrete-time networks with general pairwise coupling.
F. Bauer, F. M. Atay, and J. Jost.
Nonlinearity, 22:2333-2351, 2009.
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Randomness, chaos, and structure.
F. M. Atay, S. Jalan, and J. Jost.
Complexity, 15:29-35, 2009.
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Delayed feedback control near Hopf bifurcation.
F. M. Atay. Discrete and Continuous Dynamical Systems - S, 1:197-205, 2008.
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Chaos synchronization in networks of coupled maps with time-varying topologies.

W. Lu, F. M. Atay, and J. Jost.
European Physical Journal B, 63:399-406, 2008.
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Clustered chimera states in delay-coupled oscillator systems.
G. C. Sethia, A. Sen, and F. M. Atay.
Physical Review Letters, 100:144102, 2008.
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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):738-759, 2007.
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Synchronization of discrete-time dynamical networks with time-varying couplings.
W. Lu, F. M. Atay, and J. Jost.
SIAM J. Math. Analysis, 39(4):1231-1259, 2007.
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Spontaneous and evoked activity in extended neural populations
with gamma-distributed spatial interactions and transmission delay.
A. Hutt and F. M. Atay.
Chaos, Solitons & Fractals, 32:547-560, 2007.
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Neural fields with distributed transmission speeds and long-range feedback delays.
F. M. Atay and A. Hutt.
SIAM J. Appl. Dynamical Systems, 5:670-698, 2006.
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Network synchronization: Spectral versus statistical properties.
F. M. Atay, T. Biyikoglu, and J. Jost.
Physica D, 224:35-41, 2006.
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Stability of coupled map networks with delays.
F. M. Atay and O. Karabacak.
SIAM J. Appl. Dynamical Systems, 5:508-527, 2006.
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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.
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Oscillator death in coupled functional differential equations near Hopf bifurcation.

F. M. Atay.
J. Differential Equations, 221(1):190-209, 2006.
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Effects of distributed transmission speeds on propagating activity in
neural populations.
A. Hutt and F. M. Atay.
Physical Review E, 73(2):021906, 2006.
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Synchronization of networks with prescribed degree distributions.
F. M. Atay, T. Biyikoglu, and J. Jost.
IEEE Trans. Circuits and Systems I, 53(1):92-98, 2006.
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Graph operations and synchronization of complex networks.
F. M. Atay and T. Biyikoglu.
Physical Review E, 72:016217, 2005.
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Analysis of nonlocal neural fields for both general and gamma-distributed connectivities.
A. Hutt and F. M. Atay.
Physica D, 203(1-2):30-54, 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):644-666, 2005.
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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):17-22, 2004.
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Delays, connection topology, and synchronization of coupled chaotic maps.
F. M. Atay, J. Jost, and A. Wende.
Physical Review Letters, 92(14):144101, 2004.
- Total and partial amplitude death in networks
of diffusively coupled oscillators.

F. M. Atay.
Physica D, 183(1-2):1-18, 2003.
- Distributed delays facilitate amplitude death
of coupled oscillators.
F. M. Atay.
Physical Review Letters, 91(9):094101, 2003.
- Delayed-feedback control of oscillations in
non-linear planar systems.
F. M. Atay.
Int. J. Control,75(5):297-304, 2002.
- Periodic solutions of delay-differential
equations with a restorative condition.
F. M. Atay.
Nonlinear Analysis TMA, 45(5):555-576, 2001.
- A novel method for fault detection in electrical motors.
F. M. Atay, T. Durakbasa, A. Duyar.
Sound and Vibration, 35(2):26-29, 2001.
- Magnetic saturation and steady-state analysis of electrical motors.
F. M. Atay.
Applied Math. Modelling, 24(11):827-842, 2000.
- Recovering smooth
dynamics from time series with the aid of recurrence plots.
F. M. Atay and Y. Altintas.
Physical Review E, 59(6):6593-6598, 1999.
- Balancing the inverted pendulum using position
feedback.
F. M. Atay.
Applied Math. Letters, 12:51-56, 1999.
- Modeling reflex asymmetries with implicit delay differential equations.
F. M. Atay and J. Mallet-Paret.
Bull. Math. Biology, 60(6):999-1015, 1998.
- Van der Pol's oscillator under delayed feedback.
F. M. Atay.
J. Sound and Vibration, 218(2):333-339, 1998.
- Phase-space reconstruction in
Hamiltonian systems through multiple time series.
F. M. Atay and E. Yurtsever.
Chemical Physics Letters, 276(3-4):282-288, 1997.
- 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.
- 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.
Articles in Refereed Conference Proceedings
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Stability of diffusively coupled difference equations with delays.
F. M. Atay. In Proc. ICDEA 2003:
14th Int. Conf. on Difference Equations and Applications
(M. Bohner et al., ed.), 133-139, 2009.
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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.
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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).
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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.
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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.
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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.
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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.
- 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.
- 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.
- 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.
- 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.
Other Articles
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Consensus in networks under transmission delays and the normalized Laplacian.
F. M. Atay. Ulmer Seminare -- Funktionalanalysis und Evolutionsgleichungen, 15:11-20, 2010.
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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.
Dissertations
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A differential-delay equation arising in the
modelling of the pupil light reflex.
F. M. Atay. Ph.D. Thesis, Brown University, RI, 1994.
- A characterization of the reachability
subspaces of singular systems through matrix pencils.
F. M. Atay. M.S. Thesis,
Bogazici University, Istanbul, 1989.
Articles in Preprint Series
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On delay-induced stability in diffusively coupled discrete-time systems.
F. M. Atay.
MPI-MIS Preprint Series
32/2011.
-
Complex transitions to synchronization in delay-coupled networks of logistic maps.
C. Masoller and F. M. Atay.
MPI-MIS Preprint Series
31/2011.
-
Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays.
W. Lu, F. M. Atay, and J. Jost.
MPI-MIS Preprint Series
30/2011.
-
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.
MPI-MIS Preprint Series
29/2011.
-
Nonequilibrium dynamics of stochastic point processes with refractoriness.
M. Deger, M. Helias, S. Cardanobile, F. M. Atay, and S. Rotter.
MPI-MIS Preprint Series
53/2010.
-
Delay-induced stability: From oscillators to networks.
F. M. Atay.
MPI-MIS Preprint Series
25/2010.
-
Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays.
G. C. Sethia, A. Sen, and F. M. Atay.
MPI-MIS Preprint Series
24/2010.
-
Synchronization in discrete-time networks with general pairwise coupling.
F. Bauer, F. M. Atay, and J. Jost.
MPI-MIS Preprint Series
57/2009.
-
Synchronized chaos in networks of simple units.
F. Bauer, F. M. Atay, and J. Jost.
MPI-MIS Preprint Series
46/2009.
-
Clustered chimera states in delay-coupled oscillator systems.
G. C. Sethia, A. Sen, and F. M. Atay.
MPI-MIS Preprint Series
33/2008.
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Entropy, dimension, and state mixing in a class of time-delayed dynamical systems.
D. J. Albers and F. M. Atay.
MPI-MIS Preprint Series
83/2007.
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Forbidden sequences in symbolic dynamics of delayed maps and networks..
F. M. Atay, S. Jalan, and J. Jost.
MPI-MIS Preprint Series
82/2007.
-
Synchronization of discrete-time dynamical networks with time-varying couplings.
W. Lu, F. M. Atay, and J. Jost.
MPI-MIS Preprint Series
48/2007.
-
Delayed feedback control near Hopf bifurcation.
F. M. Atay.
MPI-MIS Preprint Series
32/2007.
-
Stability of traffic flow with distributed delays modeling the memory effects of the drivers.
R. Sipahi, F. M. Atay, and S.-I. Niculescu.
MPI-MIS Preprint Series
122/2006.
-
Network synchronization: Spectral versus statistical properties.
F. M. Atay, T. Biyikoglu, and J. Jost.
MPI-MIS Preprint Series
118/2006.
-
Symbolic synchronization and the detection of global properties of
coupled dynamics from local information.
S. Jalan, J. Jost, and F. M. Atay.
MPI-MIS Preprint Series
40/2006.
-
Detection of synchronised chaos in coupled map networks using symbolic dynamics.
S. Jalan, F. M. Atay, and J. Jost.
MPI-MIS Preprint Series
39/2006.
-
Stability of coupled map networks with delays.
F. M. Atay and O. Karabacak.
MPI-MIS Preprint Series
23/2006.
-
Distributed transmission speeds and their effects on propagating activity in
neural populations.
A. Hutt and F. M. Atay.
MPI-MIS Preprint Series
81/2005.
-
Analysis of nonlocal neural fields for both general and gamma-distributed connectivities.
A. Hutt and F. M. Atay. MPI-MIS Preprint Series
71/2005.
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Neural fields with distributed transmission speeds and corticothalamic feedback delays.
F. M. Atay and A. Hutt. MPI-MIS Preprint Series
31/2005.
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Graph operations and synchronization of complex networks.
F. M. Atay and T. Biyikoglu. MPI-MIS Preprint Series
97/2004.
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On the synchronization of networks with prescribed degree sequences.
F. M. Atay, T. Biyikoglu, and J. Jost. MPI-MIS Preprint Series
39/2004,
and Santa Fe Institute Paper #
04-06-019.
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Oscillator death in coupled functional differential equations near Hopf bifurcation.
F. M. Atay . MPI-MIS Preprint Series
15/2004.
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On the emergence of complex systems on the basis of the coordination
of complex behaviors of their elements.
F. M. Atay and J. Jost. MPI-MIS Preprint Series
102/2003,
and Santa Fe Institute Paper #
04-02-005.
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Delays, connection topology, and synchronization of coupled chaotic maps.
F. M. Atay, J. Jost, and A. Wende. MPI-MIS Preprint Series 101/2003,
and Santa Fe Institute Paper #
04-02-004.
- Spontaneous and evoked activity of
synaptically coupled neuronal fields with axonal propagation delay
for gamma-distributed connectivity kernels.
A. Hutt and F. M. Atay. MPI-MIS Preprint Series 91/2003.
- Stability and bifurcations in neural fields
with axonal delay and general connectivity.
F. M. Atay and A. Hutt. MPI-MIS Preprint Series 54/2003,
and Weierstrass Institute for Applied Analysis and Stochastics,
Preprint Series Nr. 857, 2003.
- Distributed delays facilitate amplitude death
of coupled oscillators.
F. M. Atay. MPI-MIS Preprint Series 23/2003.
- Total and partial amplitude death in networks
of diffusively coupled oscillators.
F. M. Atay. MPI-MIS Preprint Series 89/2002.