FA
Fatihcan M. Atay
nlin.CDnlin.AOmath.DSModels, Neurologicalmath.COcond-mat.dis-nnmath.MPmath-phmath.PRnlin.PS
On Valency
published · living versionsW_xbth7yzk·v1 · currentpublished
Non-equilibrium dynamics of stochastic point processes with refractoriness
with Moritz Deger, Moritz Helias, Stefano Cardanobile, Stefan Rotter
1 version
Preprints & journals
53 papers in the corpus · 1999–2026Constructing Cospectral Vertices Through Orbits of Subgraphs2601.02892v1 · Onur Ege Erden, Fatihcan M. Atay2026 · 0 citationsLinear Algebra and its Applications 750:91--112, 2026
Local pinning of networks of multi-agent systems with transmission and pinning delays1604.00459v1 · Wenlian Lu, Fatihcan M. Atay2016 · 9 citationsarXiv
Consensus and synchronization in discrete-time networks of multi-agents with stochastically switching topologies and time delays0912.2425v3 · Wenlian Lu, Fatihcan M. Atay, Jurgen Jost2009 · 26 citationsNetworks and Heterogeneous Media, 6:329-349, 2011
On the duality between consensus problems and Markov processes, with application to delay systems2512.22554v1 · Fatihcan M. Atay2025 · 0 citationsMarkov Processes and Related Fields, 22(3):537--553, 2016
Symmetry Analysis of Coupled Scalar Systems under Time Delay2510.11911v1 · Fatihcan M. Atay, Haibo Ruan2025 · 3 citationsNonlinearity 28(3):795--824, 2015
Dynamics of neural fields with exponential temporal kernel1908.06324v5 · Elham Shamsara, Marius E. Yamakou, Fatihcan M. Atay et al.2019 · 2 citationsTheory in Biosciences, 2024
Chaos in gene regulatory networks: Effects of time delays and interaction structure.38427936 · Öztürk, Dilan, Atay, Fatihcan M, Özbay, Hitay2024 · 8 citationsChaos (Woodbury, N.Y.). 2024;34(3)
A mathematical interpretation for outbreaks of bacterial meningitis under the effect of time-dependent transmission parameters.37361004 · Türkün, Can, Gölgeli, Meltem, Atay, Fatihcan M2023 · 4 citationsNonlinear dynamics. 2023:1-18
Analytic relationship of relative synchronizability to network structure and motifs2305.10509v1 · Joseph T. Lizier, Frank Bauer, Fatihcan M. Atay et al.2023 · 10 citationsProceedings of the National Academy of Sciences, vol. 120, no. 37, e2303332120, 2023
Modelling personal cautiousness during the COVID-19 pandemic: a case study for Turkey and Italy.33994665 · Bulut, Hatice, Gölgeli, Meltem, Atay, Fatihcan M2022 · 13 citationsNonlinear dynamics. 2021;105(1):957-969
Bifurcation analysis of the dynamics of interacting subnetworks of a spiking network.31388027 · Lagzi, Fereshteh, Atay, Fatihcan M, Rotter, Stefan2020 · 25 citationsScientific reports. 2019;9(1):11397
Cheeger constants, structural balance, and spectral clustering analysis for signed graphs1411.3530v4 · Fatihcan M. Atay, Shiping Liu2014 · 22 citationsDiscrete Mathematics 343:111616 (2020)
Bifurcation analysis of the dynamics of interacting populations of spiking networks1809.04877v1 · Fereshteh Lagzi, Fatihcan M. Atay, Stefan Rotter2018 · 0 citationsarXiv
Stability of phase difference trajectories of networks of Kuramoto oscillators with time-varying couplings and intrinsic frequencies1805.08457v1 · Wenlian Lu, Fatihcan M. Atay2018 · 19 citationsSIAM Journal on Applied Dynamical Systems, Vol. 17, No. 1, pp. 457-483, 2018
Stability regions for synchronized τ-periodic orbits of coupled maps with coupling delay τ.27781450 · Karabacak, Özkan, Alikoç, Baran, Atay, Fatihcan M2018 · 1 citationChaos (Woodbury, N.Y.). 2016;26(9):093101
Perspectives on Multi-Level Dynamics1606.05665v6 · Fatihcan M. Atay, Sven Banisch, Philippe Blanchard et al.2016 · 0 citationsDiscontinuity, Nonlinearity, and Complexity, 5(3) 313--339 (2016)
Characterization of Exact Lumpability for Vector Fields on Smooth Manifolds1607.01237v2 · Leonhard Horstmeyer, Fatihcan M. Atay2016 · 0 citationsDiffer.Geom.Appl. 48 (2016) 46-60
On the symmetry of the Laplacian spectra of signed graphs1411.6113v1 · Fatihcan M. Atay, Bobo Hua2014 · 2 citationsLinear Algebra and its Applications, Vol. 495, pp. 24-37 (2016)
Bipartite networks of oscillators with distributed delays: Synchronization branches and multistability.25974561 · Punetha, Nirmal, Ramaswamy, Ramakrishna, Atay, Fatihcan M2015 · 5 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2015;91(4):042906
Non-equilibrium dynamics of stochastic point processes with refractoriness1002.3798v3 · Moritz Deger, Moritz Helias, Stefano Cardanobile et al.2010 · 26 citationsPhys Rev E 82, 021129 (2010)on Valency
Delay-induced remote synchronization in bipartite networks of phase oscillators.25768584 · Punetha, Nirmal, Ujjwal, Sangeeta Rani, Atay, Fatihcan M et al.2015 · 14 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2015;91(2):022922
Phase locked solutions and their stability in the presence of propagation delays1105.3582v1 · Gautam C Sethia, Abhijit Sen, Fatihcan M Atay2011 · 6 citationsarXiv
Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays1003.5079v2 · Gautam C Sethia, Abhijit Sen, Fatihcan M. Atay2010 · 13 citationsarXiv
The consensus problem in networks with transmission delays.23960218 · Atay, Fatihcan M2013 · 48 citationsPhilosophical transactions. Series A, Mathematical, physical, and engineering sciences. 2013;371(1999):20120460
Information storage, loop motifs, and clustered structure in complex networks.23005828 · Lizier, Joseph T, Atay, Fatihcan M, Jost, Jürgen2013 · 65 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2012;86(2 Pt 2):026110
Introduction to special issue ECCS'10 in Theory in Biosciences.22711006 · Kirkilionis, Markus, Atay, Fatihcan M2012 · 0 citationsTheory in biosciences = Theorie in den Biowissenschaften. 2012;131(2):59-60
Modeling brain resonance phenomena using a neural mass model.22215992 · Spiegler, Andreas, Knösche, Thomas R, Schwab, Karin et al.2012 · 121 citationsPLoS computational biology. 2011;7(12):e1002298
Complex transitions to synchronization in delay-coupled networks of logistic maps1105.5784v1 · Cristina Masoller, Fatihcan M. Atay2011 · 24 citationsEuropean Physical Journal D 62:119-126, 2011
Nonequilibrium dynamics of stochastic point processes with refractoriness.20866797 · Deger, Moritz, Helias, Moritz, Cardanobile, Stefano et al.2011 · 25 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2010;82(2 Pt 1):021129
Synchronous solutions and their stability in nonlocally coupled phase oscillators with propagation delays.20866313 · Sethia, Gautam C, Sen, Abhijit, Atay, Fatihcan M2011 · 13 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2010;81(5 Pt 2):056213
Symbolic dynamics and synchronization of coupled map networks with multiple delays0805.1837v2 · Fatihcan M. Atay, Sarika Jalan, Jurgen Jost2008 · 11 citationsPhysics Letters A 375 (2010) 130-135
Bifurcation analysis of neural mass models: Impact of extrinsic inputs and dendritic time constants.20045068 · Spiegler, Andreas, Kiebel, Stefan J, Atay, Fatihcan M et al.2010 · 160 citationsNeuroImage. 2010;52(3):1041-58
Synchronized chaos in networks of simple units1001.4417v1 · Frank Bauer, Fatihcan M. Atay, Juergen Jost2010 · 17 citationsEPL, 89 (2010) 20002
Clustered chimera states in delay coupled oscillator systems0803.3491v1 · Gautam C. Sethia, Abhijit Sen, Fatihcan M. Atay2008 · 280 citationsPhys. Rev. Lett. 100(14) 144102 (2008).
Symbolic Synchronization and the Detection of Global Properties of Coupled Dynamics from Local Informationnlin/0604016v2 · Sarika Jalan, Juergen Jost, Fatihcan Atay2006 · 19 citationsChaos, Vol 16, issue 3, p 033124 (2006)
Randomness, chaos, and structure0711.4293v1 · Fatihcan Atay, Sarika Jalan, Jurgen Jost2007 · 0 citationsComplexity, 15 (1) pp. 29-35 (2009)
Synchronization in discrete-time networks with general pairwise coupling0909.2416v1 · Frank Bauer, Fatihcan M. Atay, Juergen Jost2009 · 21 citationsNonlinearity 22 (2009) 2333-2351
Delayed Feedback Control near Hopf Bifurcation0812.4687v1 · Fatihcan M. Atay2008 · 98 citationsDiscrete and Continuous Dynamical Systems, Series S, 1:197--205 (2008)
Chaos synchronization in networks of coupled maps with time-varying topologies0812.2648v1 · Wenlian Lu, Fatihcan M. Atay, Jurgen Jost2008 · 30 citationsEur. Phys. J. B 63:399--406, 2008
Synchronization of discrete-time dynamical networks with time-varying couplings0812.2706v1 · Wenlian Lu, Fatihcan M. Atay, Jurgen Jost2008 · 98 citationsSIAM Journal on Mathematical Analysis, 39(4):1231-1259, 2007
Clustered chimera states in delay-coupled oscillator systems.18518036 · Sethia, Gautam C, Sen, Abhijit, Atay, Fatihcan M2008 · 280 citationsPhysical review letters. 2008;100(14):144102
Entropy, dimension, and state mixing in a class of time-delayed dynamical systems0710.2626v1 · D. J. Albers, Fatihcan M. Atay2007 · 0 citationsarXiv
Synchronization of networks with prescribed degree distributionsnlin/0407024v2 · Fatihcan M. Atay, Tuerker Biyikoglu, Juergen Jost2004 · 93 citationsIEEE Transactions on Circuits and Systems-I, Vol. 53 (1): 92-98, 2006
Network synchronization: Spectral versus statistical properties0706.3069v1 · Fatihcan M. Atay, Turker Biyikoglu, Juergen Jost2007 · 101 citationsPhysica D 224:35-41 (2006)
Symbolic synchronization and the detection of global properties of coupled dynamics from local information.17014229 · Jalan, Sarika, Jost, Jürgen, Atay, Fatihcan M2007 · 19 citationsChaos (Woodbury, N.Y.). 2006;16(3):033124
Effects of distributed transmission speeds on propagating activity in neural populations.16605361 · Hutt, Axel, Atay, Fatihcan M2006 · 38 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2006;73(2 Pt 1):021906
Graph operations and synchronization of complex networks.16090076 · Atay, Fatihcan M, Biyikoğlu, Türker2006 · 80 citationsPhysical review. E, Statistical, nonlinear, and soft matter physics. 2005;72(1 Pt 2):016217
Delays, connection topology, and synchronization of coupled chaotic maps.15089542 · Atay, Fatihcan M, Jost, Jürgen, Wende, Andreas2004 · 279 citationsPhysical review letters. 2004;92(14):144101
Distributed delays facilitate amplitude death of coupled oscillators.14525187 · Atay, Fatihcan M2003 · 325 citationsPhysical review letters. 2003;91(9):094101
Recovering smooth dynamics from time series with the aid of recurrence plots.11969647 · Atay, F M, Altintaş, Y2002 · 47 citationsPhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics. 1999;59(6):6593-8
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