Journal Articles


  1. A. Perez-Cervera, B. Gutkin, P. J. Thomas, and B. Lindner A Universal Description of Stochastic Oscillators. PNAS, accepted (2023); see also preprint on the arxiv
  2. K. Engbring, D. Boriskovsky, Y. Roichman, and B. Lindner A nonlinear fluctuation-dissipation test for Markovian systems Phys. Rev. X, accepted (2023)
  3. J. Ranft and B. Lindner Theory of the asynchronous state of structured rotator networks and its application to recurrent networks of excitatory and inhibitory units 107, 044306 Phys. Rev. E (2023)
  4. M. Su and B. Lindner Active Brownian particles in a biased periodic potential. 46, 22 EPJE (2023)
  5. M. Su, D. Bernardi, and B. Lindner Pursuit problem with a stochastic prey that sees its chasers. New J. Phys. 25, 023033 (2023)
  6. L. Ramlow. M. Falcke, and B. Lindner An integrate-and-fire approach to Calcium signaling. Part I: Renewal model. Biophys. J. 122, 713 (2023)
  7. J. Franzen, L. Ramlow, and B. Lindner The steady state and response to a periodic stimulation of the firing rate for a theta neuron with correlated noise. J. Comp. Neurosci. 51 107 (2023)
  8. 2022

  9. B. Lindner Fluctuation-dissipation relations for spiking neurons. Phys. Rev. Lett. 129, 198101 (2022)
  10. J. Ranft and B. Lindner A self-consistent analytical theory for rotator networks under stochastic forcing: effects of intrinsic noise and common input. Chaos 32 063131 (2022)
  11. G. Knoll and B. Lindner Information Transmission in Recurrent Networks: Consequences of network noise for synchronous and asynchronous signal encoding Phys. Rev. E 105 044411 (2022)
  12. A. Perez-Cervera, B. Lindner, and P. Thomas Quantitative comparison of the mean-return-time phase and the stochastic asymptotic phase for noisy oscillators. Biol. Cybern. 116 219 (2022)
  13. K. Holzhausen, P. J. Thomas, and B. Lindner Analytical approach to the mean-return-time-phase of isotropic stochastic oscillators Phys. Rev. E 105 024202 Phys. Rev. E (2022) [see also https://arxiv.org/abs/2108.07240]
  14. K. Holzhausen, L. Ramlow, S. Pu, P. J. Thomas, and B. Lindner Mean-return-time phase of a stochastic oscillator provides an approximate renewal description for the associated point process. Biol. Cybern. 116 235 (2022)
  15. R. Kullmann, G. Knoll, D. Bernardi and B. Lindner Critical current for giant Fano factor in neural models with bistable firing dynamics and implications for signal transmission. Phys. Rev. E 105 014416 (2022)
  16. D. Bernardi and B. Lindner Run with the Brownian Hare, Hunt with the Deterministic Hounds Phys. Rev. Lett. 128 040601 (2022) [see also the synopsis on our paper]
  17. 2021

  18. A. Perez-Cervera, B. Lindner, and P. Thomas Isostables for stochastic oscillators Phys. Rev. Lett. 127 254101 (2021)
  19. L. Ramlow and B. Lindner Interspike interval correlations in neuron models with adaptation and correlated noise PLoS Comp. Biol. 17 e1009261 (2021)
  20. S. Vellmer and B. Lindner Fokker-Planck approach to neural networks and to decision problems - A unique method for stochastic models in computational and cognitive neuroscience EPJST 30 2929 (2021)
  21. V. N. Friedhoff, L. Ramlow, B. Lindner, and M. Falcke Models of stochastic Ca spiking - Established approaches and inspirations from models of neuronal spikes EPJST 230 2911 (2021)
  22. G. Knoll and B. Lindner Recurrence-mediated Suprathreshold Stochastic Resonance J. Comp. Neurosci. 49, 407 (2021)
  23. L. Schimansky-Geier B. Lindner, S. Milster, and A. B. Neiman Demixing of two species via reciprocally concentration-dependent diffusivity Phys. Rev. E 103 022113 (2021)
  24. D. Bernardi, G. Doron, M. Brecht, and B. Lindner A network model of the barrel cortex combined with a differentiator detector reproduces features of the behavioral response to single-neuron stimulation PLoS Computational Biology 17 e1007831 (2021)
  25. G. N. Farah and B. Lindner Exponentially distributed noise - its correlation function and its effect on nonlinear dynamics J. Phys. A: Math. Theor. 54 035003 (2021)
  26. 2020

  27. B. Karamched, M. Stickler, W. Ott, B. Lindner, Z. P. Kilpatrick, and K. Josic Heterogeneity improves speed and accuracy in social networks Phys. Rev. Lett. 125, 218302 (2020)
  28. S. Vellmer and B. Lindner Decision-time statistics of nonlinear diffusion models: Characterizing long sequences of subsequent trials. J. Math. Psychol. 99, 102445 (2020)
  29. Z. Bostner, G. Knoll, and B. Lindner Information filtering by coincidence detection of synchronous population output: Analytical approaches to the coherence function of a two-stage neural system Biol. Cyb. 114, 403 (2020)
  30. D. Bernardi and B. Lindner Receiver operating characteristic curves for a simple stochastic process that carries a static signal Phys. Rev. E 101, 062132 (2020)
  31. R. Betkiewicz, B. Lindner, and M.P. Nawrot Circuit and cellular mechanisms facilitate the transformation from dense to sparse coding in the insect olfactory system eNeuro 7, 0305-18 (2020)
  32. A. Cao, B. Lindner, and P. Thomas A partial differential equation for the mean---first--return-time phase of planar stochastic oscillators. SIAM J. App. Math. 80, 422 (2020)
  33. 2019

  34. M. A. Zaks and A. Pikovsky Synchrony breakdown and noise-induced oscillation death in ensembles of serially connected spin-torque oscillators. The European Physical Journal B 92, 160 (2019)
  35. S. Vellmer and B. Lindner Theory of spike-train power spectra for multidimensional integrate-and-fire models. Phys. Rev. Research 1, 023024 (2019)
  36. P. Thomas and B. Lindner Phase descriptions of a multidimensional Ornstein-Uhlenbeck process. Phys. Rev. E 99 ,062221 (2019)
  37. D. Bernardi and B. Lindner Detecting single-cell stimulation in a large network of integrate-and-fire neurons. Phys. Rev. E 99 , 032304 (2019)
  38. M. Kähne, S. Rüdiger and B. Lindner Gap junctions set the speed and nucleation rate of stage I retinal waves. PLoS Comp. Biol. 15 , e1006355 (2019)
  39. J. Bauermann and B. Lindner Multiplicative noise is beneficial for the transmission of sensory signals in simple neuron models. 178, 25 Biosystems (2019)
  40. 2018

  41. R. F. O. Pena, M. A. Zaks and A. C. Roque Dynamics of spontaneous activity in random networks with multiple neuron subtypes and synaptic noise   Journal of Computational Neuroscience 45, 1 (2018)
  42. M. A. Zaks and A. Nepomnyashchy Subdiffusive and superdiffusive transport in plane steady viscous flows   Proceedings of NAS, doi: 10.1073/pnas.1717225115(2018)
  43. V. S. Afraimovich, M. A. Zaks and M. I. Rabinovich Mind-to-mind heteroclinic coordination: Model of sequential episodic memory initiation   Chaos 28, 053107 (2018)
  44. A. van Meegen and B. Lindner Self-consistent correlations of randomly coupled rotators in the asynchronous state   Phys. Rev. Lett. 121, 258302 (2018)
  45. S. O. Voronenko and B. Lindner Improved lower bound for the mutual information between signal and neural spike count   Biol. Cyb. 112 523 (2018)
  46. R. F.O. Pena, S. Vellmer, D. Bernardi, A. C. Roque and B. Lindner Self-consistent scheme for spike-train power spectra in heterogeneous sparse networks   Front. Comput. Neurosci. 12 , 9 (2018)
  47. M. Beiran, A. Kruscha, J. Benda and B. Lindner Coding of time-dependent stimuli in homogeneous and heterogeneous neural populations J. Comp. Neurosci. 44, 189 (2018)
  48. 2017

  49. P. Pöschke, I. M. Sokolov, M. A. Zaks and A. A. Nepomnyashchy Transport on intermediate time scales in flows with cat’s eye patterns Phys. Rev. E 96 , 062128 (2017)
  50. F. Droste and B. Lindner Up-down-like background spiking can enhance neural information transmission eNeuro 4 , e0282-17 (2017)
  51. J. Doose and B. Lindner Evoking prescribed spike times in stochastic neurons Phys. Rev. E 36 , 032109 (2017)
  52. M. A. Zaks and A. Pikovsky Chimeras and complex cluster states in arrays of spin-torque oscillators   Scientific Reports 7 , 4648 (2017)
  53. L. Willareth, I. M. Sokolov, Y. Roichman and B. Lindner Generalized fluctuation-dissipation theorem as a test of the Markovianity of a system   EPL 118 , 20001 (2017)
  54. D. Bernardi and B. Lindner Optimal detection of a localized perturbation in random networks of integrate-and-fire neurons   Phys. Rev. Lett. 118 , 268301 (2017)
  55. J. Giner-Baldo, P. J. Thomas, and B. Lindner Power spectrum of a noisy system close to a heteroclinic orbit   J. Stat. Phys. 168 , 447 (2017)
  56. F. Droste and B. Lindner Exact analytical results for integrate-and-fire neurons driven by excitatory shot noise  J. Comp. Neurosci. 43, 81 (2017)
  57. F. Droste and B. Lindner Exact results for power spectrum and susceptibility of a leaky integrate-and-fire neuron with two-state noise   Phys. Rev. E 95 012411 (2017)
  58. S. Voronenko and B. Lindner Weakly nonlinear response of noisy neurons   New J. Phys. 19 033038 (2017)
  59. J. Grewe, A. Kruscha, B. Lindner, and J. Benda Synchronous Spikes are necessary but not Sufficient for a Synchrony Code   PNAS 114 E1977 (2017)
  60. F. Feudel, L. S. Tuckerman, M. A. Zaks and R. Hollerbach Hysteresis of dynamos in rotating spherical shell convection   Physical Review Fluids 2 , 053902 (2017)
  61. 2016

  62. B. Lindner Mechanisms of information filtering in neural systems IEEE Transactions on Molecular, Biological, and Multi-Scale Communications 2 5 (2016)
  63. J. Doose, G. Doron, M. Brecht, and B. Lindner Noisy juxtacellular stimulation in vivo leads to reliable spiking and reveals high-frequency coding in single neurons   J. Neurosci. 36 11120 (2016)
  64. A. Kruscha and B. Lindner Partial synchronous output of a neuronal population under weak common noise: analytical approaches to the correlation statistics   Phys. Rev. E 94 , 022422 (2016)
  65. B. Lindner and I. M. Sokolov Giant diffusion of underdamped particles in a biased periodic potential   Phys. Rev. E 93 , 042106 (2016)
  66. S. Blankenburg and B. Lindner The effect of positive interspike interval correlations on neuronal information transmission   Math. Biosci. Eng. 13 , 461 (2016)
  67. 2015

  68. T. Schwalger and B. Lindner Analytical approach to an integrate-and-fire model with spike-triggered adaptation   Phys. Rev. E 92 , 062703 (2015)
  69. A. Kruscha and B. Lindner Spike count distribution in a neural population under weak common stimulation   Phys. Rev. E 92 , 052817 (2015)
  70. S. Blankenburg, W. Wu, B. Lindner, and S. Schreiber Information filtering in resonant neurons   J. Comput. Neurosci. 39 , 349 (2015)
  71. S. Wieland, D. Bernardi, T. Schwalger, and B. Lindner Slow fluctuations in recurrent networks of spiking neurons  Phys. Rev. E 92 040901(R) (2015)
  72. M. Götz, K. F. Hodeck, P. Witzel, A. Nandi, B. Lindner, and D. Heinrich Probing Cytoskeleton Dynamics by Intracellular Particle Transport Analysis   Eur. J. Phys. Spec. Top. 224 , 1169 (2015)
  73. R. M. Amro, B. Lindner, and A. B. Neiman Phase diffusion in unequally noisy coupled oscillators   Phys. Rev. Lett. 115 , 034101 (2015)
  74. T. Schwalger, F. Droste, and B. Lindner Statistical structure of neural spiking under non-Poissonian or other non-white stimulation   J. Comp. Neurosci. 39 , 29 (2015)
  75. L. Shiau, T. Schwalger, and B. Lindner Interspike interval correlation in a stochastic exponential integrate-and-fire model with subthreshold and spike-triggered adaptation   J. Comp. Neurosci. 38 589 (2015)
  76. F. Müller-Hansen, F. Droste, and B. Lindner Statistics of a neuron model driven by asymmetric colored noise Phys. Rev. E 91 , 022718 (2015)
  77. S. Voronenko, W. Stannat, and B. Lindner Shifting Spike Times or Adding and Deleting Spikes - How Different Types of Noise Shape Signal Transmission in Neural Populations J. Math. Neurosci. 5 ,1 (2015)
  78. D. Bernardi and B. Lindner A Frequency-Resolved Mutual Information Rate and its Application to Neural Systems J. Neurophysiol. 113 , 1342 (2015)
  79. P. J. Thomas and B. Lindner Reply   Phys. Rev. Lett. 115 , 069402 (2015) to the comment by A. Pikovsky to our article in PRL (2014) [see also previous versions of comment and reply on the arXiv]
  80. 2014

  81. P. J. Thomas and B. Lindner Asymptotic Phase for Stochastic Oscillators  Phys. Rev. Lett. 113 , 254101 (2014)
  82. J. Kromer, R. D. Pinto, B. Lindner and L. Schimansky-Geier Noise-controlled metastability in an excitable system with positive feedback   EPL 108 , 20007 (2014)
  83. B. Dummer, S. Wieland, and B. Lindner Self-consistent determination of the spike-train power spectrum in a neural network with sparse connectivity   Front. Comp. Neurosci. 8 , 104 (2014)
  84. F. Fruth, F. Jülicher, and B. Lindner An active oscillator model describes the statistics of spontaneous otoacoustic emissions   Biophys. J.107, 815 (2014)
  85. F. Droste and B. Lindner Integrate-and-fire neurons driven by asymmetric dichotomous noise     Biol. Cybern. 108 , 825 (2014)
  86. J. A. Kromer, B. Lindner, and L. Schimansky-Geier Event-triggered feedback in noise-driven phase oscillators     Phys. Rev. E 89 , 032138 (2014)
  87. A. Vüllings, E. Schöll, and B. Lindner Spectra of delay-coupled heterogeneous noisy nonlinear oscillators   Eur.Phys. J. B 87 , 31 (2014)
  88. 2013

  89. T. Schwalger and B. Lindner Patterns of interval correlations in neural oscillators with adaptation Front. Comp. Neurosci. 7 , 164 (2013)
  90. F. Droste, T. Schwalger, and B. Lindner Interplay of two signals in a neuron with short-term synaptic plasticity Front. Comp. Neurosci. 7 , 86 (2013)
  91. C. Bauermeister, T. Schwalger, D.F. Russell, A.B. Neiman, and B. Lindner Characteristic Effects of Stochastic Oscillatory Forcing on Neural Firing Statistics: Analytical Theory and Application to Paddlefish Electroreceptor Afferents PLoS Computational Biology 9 , 1003170 (2013)
  92. T. Schwalger, D. Miklodi and B. Lindner When the leak is weak - how the first-passage statistics of a biased random walk can approximate the ISI statistics of an adapting neuron Eur. Phys. J. Spec. Topics 222 , 2655 (2013)
  93. 2012

  94. N. Sharafi, J. Benda, and B. Lindner Information filtering by synchronous spikes in a neural population J. Comp. Neurosci. 34 , 285 (2013) [see also Erratum: Information filtering by synchronous spikes in a neural population  information transfer, J. Comp. Neurosci. (2015)]
  95. I. Kalinina , A. Nandi, P. Delivani, M. R. Chacon, A. Klemm, D. Ramunno-Johnson, A. Krull, B. Lindner, N. Pavin, and I. M. Tolic-Norrelykke Pivoting of microtubules around the spindle pole accelerates kinetochore capture Nature Cell Biol. 15 , 82 (2012)
  96. K. Fisch, T. Schwalger, B. Lindner, A. V. M. Herz, and J. Benda Channel noise from both slow adaptation currents and fast currents is required to explain spike-response variability in a sensory neuron J. Neurosci. 32 , 17332 (2012)
  97. A. Nandi, D. Heinrich, and B. Lindner, Distributions of diffusion measures from a local mean-square displacement analysis Phys. Rev. E 86 , 021926 (2012)
  98. T. Schwalger, J. Tiana-Alsina, M. C. Torrent, J. Garcia-Ojalvo, and B. Lindner Interspike-interval correlations induced by two-state switching in an excitable system   Eur. Phys. Lett. 99 , 10004 (2012)
  99. K. Dierkes, F. Jülicher, and B. Lindner A mean-field approach to elastically coupled hair bundles   Eur. Phys. J. E 35 , 37 (2012)
  100. P. Romanczuk, M. Bär, W. Ebeling, B. Lindner, and L. Schimansky-Geier Active Brownian Particles: From Individual to Collective Stochastic Dynamics Eur. Phys. J. Spec. Topics 202 , 1 (2012)
  101. P.S. Burada and B. Lindner Escape rate of an active Brownian particle over a potential barrier Phys. Rev. E 85 022102 (2012)
  102. M. Otten, A. Nandi, D. Arcizet, M. Gorelashvili, B. Lindner, and D. Heinrich Local Motion Analysis Reveals Impact of the Dynamic Cytoskeleton on Intracellular Subdiffusion Biophys. J. 102 758 (2012)

Articles in proceedings and books; abstracts

  1. M. A. Zaks and A. Nepomnyashchy Anomalous transport in steady plane viscous flows: simple models  Chapter V in: "Advances in Dynamics, Patterns, Cognition: Challenges in Complexity" (Springer, 2017)
  2. F. Fruth, F. Jülicher, and B. Lindner Spontaneous otoacoustic emissions in an active nonlinear cochlear model in the time domain  AIP Proceedings of the 12th International Mechanics of Hearing Workshop AIP Conf. Proc. 1703, 090013 (2015)
  3. K. Dierkes und B. Lindner Haariges Hören - Haarzellen im Innenohr lassen sich als aktives Nichtgleichgewichts-System auffassen,   Physik Journal 13 , 37 (2014)
  4. B. Lindner Low-Pass Filtering of Information in the Leaky Integrate-and-Fire Neuron Driven by White Noise,   in Visarath In, Antonio Palacios, Patrick Longhini (eds.) International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012) (Springer, 2012)


Edited volumes

B. Lindner, U. Erdmann, and I. Sokolov The Dynamics of Nonlinear Stochastic Systems The European Physical Journal - Special Topics Vol. 187 (2010) >