Publications

2026

Nonlinear periodic orbit solutions and their bifurcation structure at the origin of soliton hopping in coupled microresonators

S. Deshmukh; A. Tusnin; A. Tikan; T. J. Kippenberg; T. M. Schneider 

Communications Physics. 2026. DOI : 10.1038/s42005-026-02623-6.

Transition from sub-Rayleigh anticrack to supershear crack propagation in snow slab avalanches: A numerical and theoretical analysis

B. Trottet / T. Schneider; J. A. P. Gaume (Dir.)  

Lausanne, EPFL, 2026. 

2025

Natural convection in a vertical channel. Part 3. Bifurcations of many (additional) unstable periodic orbits and their dynamical relevance

Z. Zheng; L. S. Tuckerman; T. M. Schneider 

Journal of Fluid Mechanics. 2025. Vol. 1022. DOI : 10.1017/jfm.2025.10800.

Ghost States Underlying Spatial and Temporal Patterns: How Nonexistent Invariant Solutions Control Nonlinear Dynamics

Z. Zheng; P. Beck; T. Yang; O. Ashtari; J. P. Parker et al. 

PHYSICAL REVIEW E. 2025. Vol. 112, num. 2. DOI : 10.1103/8b86-3plx.

Accurate Implementation of Rotating Magneto-Hydrodynamics in a Channel Geometry Using an Influence Matrix Method

J-C. Ringenbach; S. M. Tobias; T. M. Schneider 

Mathematics. 2025. Vol. 13, num. 16. DOI : 10.3390/math13162549.

Data-driven Guessing and Gluing of Unstable Periodic Orbits

P. Beck; J. P. Parker; T. M. Schneider 

PHYSICAL REVIEW E. 2025. Vol. 112, num. 2. DOI : 10.1103/9vjc-g86s.

Search for Unstable Relative Periodic Orbits in Channel Flow Using Symmetry-reduced Dynamic Mode Decomposition

M. Engel; O. Ashtari; T. M. Schneider; M. Linkmann 

JOURNAL OF FLUID MECHANICS. 2025. Vol. 1013. DOI : 10.1017/jfm.2025.10255.

Oscillating Turing Rolls as Periodic Orbits of the Lugiato-Lefever Equation

A. Gelash; S. Deshmukh; A. Shusharin; T. Schneider; T. J. Kippenberg 

2025. 2025 Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference, Munich, Germany, 2025-06-23 – 2025-06-27. DOI : 10.1109/cleo/europe-eqec65582.2025.11111134.

Following marginal stability manifolds in quasilinear dynamical reductions of multiscale flows in two space dimensions

A. Ferraro; G. P. Chini; T. M. Schneider 

Physical Review E. 2025. Vol. 111, num. 2, p. 025105. DOI : 10.1103/PhysRevE.111.025105.

The topology of a chaotic attractor in the Kuramoto-Sivashinsky equation

M. Abadie; P. Beck; J. P. Parker; T. M. Schneider 

Chaos (Woodbury, N.Y.). 2025. Vol. 35, num. 1. DOI : 10.1063/5.0237476.

Pattern formation in transitional turbulent thermal convection: invariant solutions and their bifurcation structures

Z. Zheng / T. Schneider (Dir.)  

Lausanne, EPFL, 2025. 

2024

Natural convection in a vertical channel. Part 1. Wavenumber interaction and Eckhaus instability in a narrow domain

Z. Zheng; L. S. Tuckerman; T. M. Schneider 

Journal of Fluid Mechanics. 2024. Vol. 1000, p. A28. DOI : 10.1017/jfm.2024.842.

Natural convection in a vertical channel. Part 2. Oblique solutions and global bifurcations in a spanwise-extended domain

Z. Zheng; L. S. Tuckerman; T. M. Schneider 

Journal of Fluid Mechanics. 2024. Vol. 1000, p. A29. DOI : 10.1017/jfm.2024.840.

Adjoint-based variational methods for computing invariant solutions in spatio-temporally chaotic PDEs

O. Ashtari / T. Schneider (Dir.)  

Lausanne, EPFL, 2024. 

2023

Identifying invariant solutions of wall-bounded three-dimensional shear flows using robust adjoint-based variational techniques

O. Ashtari; T. M. Schneider 

Journal of Fluid Mechanics. 2023. Vol. 977, p. A7. DOI : 10.1017/jfm.2023.927.

Symmetry-reduced low-dimensional representation of large-scale dynamics in the asymptotic suction boundary layer

M. Engel; O. Ashtari; M. Linkmann 

European Journal Of Mechanics B-Fluids. 2023. Vol. 102, p. 80 – 90. DOI : 10.1016/j.euromechflu.2023.07.007.

Predicting chaotic statistics with unstable invariant tori

J. P. Parker; O. Ashtari; T. M. Schneider 

Chaos: An Interdisciplinary Journal of Nonlinear Science. 2023. Vol. 33, num. 8, p. 083111. DOI : 10.1063/5.0143689.

Jacobian-free variational method for computing connecting orbits in nonlinear dynamical systems

O. Ashtari; T. M. Schneider 

Chaos: An Interdisciplinary Journal of Nonlinear Science. 2023. Vol. 33, num. 7, p. 073134. DOI : 10.1063/5.0143923.

2022

Invariant tori in dissipative hyperchaos

J. P. P. Parker; T. M. M. Schneider 

Chaos: An Interdisciplinary Journal of Nonlinear Science. 2022. Vol. 32, num. 11, p. 113102. DOI : 10.1063/5.0119642.

Variational methods for finding periodic orbits in the incompressible Navier Stokes equations

J. P. Parker; T. M. Schneider 

Journal of Fluid Mechanics. 2022. Vol. 941, p. A17. DOI : 10.1017/jfm.2022.299.

Constructing periodic orbits of high-dimensional chaotic systems by an adjoint-based variational method

S. Azimi; O. Ashtari; T. Schneider 

Physical Review E. 2022. Vol. 105, num. 1, p. 014217. DOI : 10.1103/PhysRevE.105.014217.

Non-destructive Prediction of the Buckling Load of Cylindrical Shells

E. J. Lozano Vazquez / T. Schneider (Dir.)  

Lausanne, EPFL, 2022. 

Exploiting Marginal Stability in Slow-Fast Quasilinear Dynamical Systems

A. Ferraro / T. Schneider (Dir.)  

Lausanne, EPFL, 2022. 

2021

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

F. Reetz; T. M. Schneider 

Physical Review Fluids. 2021. Vol. 6, num. 11, p. 114401. DOI : 10.1103/PhysRevFluids.6.114401.

A study of the double pendulum using polynomial optimization

J. P. Parker; D. Goluskin; G. M. Vasil 

Chaos: An Interdisciplinary Journal of Nonlinear Science. 2021. Vol. 31, num. 10, p. 103102. DOI : 10.1063/5.0061316.

Optimal perturbation growth on a breaking internal gravity wave

J. P. Parker; C. J. Howland; C. P. Caulfield; R. R. Kerswell 

Journal of Fluid Mechanics. 2021. Vol. 925, p. A16. DOI : 10.1017/jfm.2021.603.

Superspreading events suggest aerosol transmission of SARS-CoV-2 by accumulation in enclosed spaces

J. M. Kolinski; T. M. Schneider 

Physical Review E. 2021. Vol. 103, num. 3, p. 033109. DOI : 10.1103/PhysRevE.103.033109.

The effects of Prandtl number on the nonlinear dynamics of Kelvin-Helmholtz instability in two dimensions

J. P. Parker; C. P. Caulfield; R. R. Kerswell 

Journal of Fluid Mechanics. 2021. Vol. 915, p. A37. DOI : 10.1017/jfm.2021.125.

Modified snaking in plane Couette flow with wall-normal suction

S. Azimi; T. Schneider 

Journal of Fluid Mechanics. 2021. Vol. 912, p. A47. DOI : 10.1017/jfm.2020.1100.

2020

Nondestructive Prediction of the Buckling Load of Imperfect Shells

A. Abramian; E. Virot; E. Lozano; S. M. Rubinstein; T. M. Schneider 

Physical Review Letters. 2020. Vol. 125, num. 22, p. 225504. DOI : 10.1103/PhysRevLett.125.225504.

Invariant states in inclined layer convection. Part 1. Temporal transitions along dynamical connections between invariant states

F. Reetz; T. M. Schneider 

Journal of Fluid Mechanics. 2020. Vol. 898, p. A22. DOI : 10.1017/jfm.2020.317.

Invariant states in inclined layer convection. Part 2. Bifurcations and connections between branches of invariant states

F. Reetz; P. Subramanian; T. M. Schneider 

Journal of Fluid Mechanics. 2020. Vol. 898, p. A23. DOI : 10.1017/jfm.2020.318.

Interaction and breakup of droplet pairs in a microchannel Y-junction

S. S. Schuetz; J. W. Khor; S. K. Y. Tang; T. M. Schneider 

Physical Review Fluids. 2020. Vol. 5, num. 8, p. 083605. DOI : 10.1103/PhysRevFluids.5.083605.

Buckling instabilities and spatio-temporal dynamics of active elastic filaments

Y. Fily; P. Subramanian; T. M. Schneider; R. Chelakkot; A. Gopinath 

Journal of the Royal Society Interface. 2020. Vol. 17, num. 165. DOI : 10.1098/rsif.2019.0794.

Self-similar invariant solution in the near-wall region of a turbulent boundary layer at asymptotically high Reynolds numbers

S. Azimi; T. M. Schneider 

Journal of Fluid Mechanics. 2020. Vol. 888, p. A15. DOI : 10.1017/jfm.2019.1067.

Koopman Analysis of Isolated Fronts and Solitons

J. P. Parker; J. Page 

Siam Journal On Applied Dynamical Systems. 2020. Vol. 19, num. 4, p. 2803 – 2828. DOI : 10.1137/19M1305033.

Invariant solutions underlying small- and large-scale structures in turbulent boundary layers

S. Azimi / T. Schneider (Dir.)  

Lausanne, EPFL, 2020. 

2019

Origin of localized snakes-and-ladders solutions of plane Couette flow

M. Salewski; J. F. Gibson; T. M. Schneider 

Physical Review E. 2019. Vol. 100, num. 3, p. 031102(R). DOI : 10.1103/PhysRevE.100.031102.

Rational design of a high-throughput droplet sorter

S. S. Schutz; T. Beneyton; J-C. Baret; T. M. Schneider 

Lab On A Chip. 2019. Vol. 19, num. 13, p. 2220 – 2232. DOI : 10.1039/c9lc00149b.

Exact invariant solution reveals the origin of self-organized oblique turbulent-laminar stripes

F. Reetz; T. Kreilos; T. M. Schneider 

Nature Communications. 2019. Vol. 10, p. 2277. DOI : 10.1038/s41467-019-10208-x.

Jumping dynamics of aquatic animals

B. Chang; J. Myeong; E. Virot; C. Clanet; H-Y. Kim et al. 

Journal of the Royal Society Interface. 2019. Vol. 16, num. 152, p. 20190014. DOI : 10.1098/rsif.2019.0014.

Turbulent patterns in wall-bounded shear flows: invariant solutions and their bifurcations

F. Reetz / T. Schneider (Dir.)  

Lausanne, EPFL, 2019. 

2018

Distinct transition in flow statistics and vortex dynamics between low- and high-extent turbulent drag reduction in polymer fluids

L. Zhu; H. Schrobsdorff; T. M. Schneider; L. Xi 

Journal Of Non-Newtonian Fluid Mechanics. 2018. Vol. 262, p. 115 – 130. DOI : 10.1016/j.jnnfm.2018.03.017.

Computing heteroclinic orbits using adjoint-based methods

M. Farano; S. Cherubini; J. -C. Robinet; P. De Palma; T. M. Schneider 

Journal of Fluid Mechanics. 2018. Vol. 858, p. R3. DOI : 10.1017/jfm.2018.860.

High-throughput multiplexed fluorescence-activated droplet sorting

O. Caen; S. Schutz; M. S. S. Jammalamadaka; J. Vrignon; P. Nizard et al. 

Microsystems & Nanoengineering. 2018. Vol. 4, p. 33. DOI : 10.1038/s41378-018-0033-2.

On Establishing Buckling Knockdowns for Imperfection-Sensitive Shell Structures

S. Gerasimidis; E. Virot; J. W. Hutchinson; S. M. Rubinstein 

Journal Of Applied Mechanics-Transactions Of The Asme. 2018. Vol. 85, num. 9, p. 091010. DOI : 10.1115/1.4040455.

Edge states control droplet breakup in subcritical extensional flows

G. Gallino; T. Schneider; F. Gallaire 

Physical Review Fluids. 2018. Vol. 3, num. 7, p. 1 – 10, 073603. DOI : 10.1103/PhysRevFluids.3.073603.

3D Boundary Element Simulation of Droplet Dynamics in Microchannels: How Droplets Squeeze Through Constrictions and Move in Electric Fields

S. S. Schütz / T. Schneider (Dir.)  

Lausanne, EPFL, 2018. 

2017

Stability Landscape of Shell Buckling

E. Virot; T. Kreilos; T. M. Schneider; S. M. Rubinstein 

Physical Review Letters. 2017. Vol. 119, num. 22, p. 224101. DOI : 10.1103/PhysRevLett.119.224101.

Fully localized post-buckling states of cylindrical shells under axial compression

T. Kreilos; T. M. Schneider 

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2017. Vol. 473, num. 2205, p. 20170177. DOI : 10.1098/rspa.2017.0177.

2016

Homoclinic snaking in plane Couette flow: bending, skewing and finite-size effects

J. F. Gibson; T. M. Schneider 

Journal of Fluid Mechanics. 2016. Vol. 794, p. 530 – 551. DOI : 10.1017/jfm.2016.177.

Localized travelling waves in the asymptotic suction boundary layer

T. Kreilos; J. F. Gibson; T. M. Schneider 

Journal of Fluid Mechanics. 2016. Vol. 795, p. R3. DOI : 10.1017/jfm.2016.242.

Spatio-temporal patterns in inclined layer convection

P. Subramanian; O. Brausch; K. E. Daniels; E. Bodenschatz; T. M. Schneider et al. 

Journal of Fluid Mechanics. 2016. Vol. 794, p. 719 – 745. DOI : 10.1017/jfm.2016.186.

2015

Creating femtosecond-laser-hyperdoped silicon with a homogeneous doping profile

Y-T. Lin; N. Mangan; S. Marbach; T. M. Schneider; G. Deng et al. 

Applied Physics Letters. 2015. Vol. 106, num. 6, p. 062105. DOI : 10.1063/1.4907988.

Infinite geometric frustration in a cubic dipole cluster

J. Schoenke; T. M. Schneider; I. Rehberg 

Physical Review B. 2015. Vol. 91, num. 2, p. 020410. DOI : 10.1103/PhysRevB.91.020410.

Elastocapillary coalescence of plates and pillars

Z. Wei; T. M. Schneider; J. Kim; H. -Y. Kim; J. Aizenberg et al. 

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2015. Vol. 471, num. 2175. DOI : 10.1098/rspa.2014.0593.

Femtosecond-laser hyperdoping silicon in an SF6 atmosphere: Dopant incorporation mechanism

M-J. Sher; N. M. Mangan; M. J. Smith; Y-T. Lin; S. Marbach et al. 

Journal Of Applied Physics. 2015. Vol. 117, num. 12, p. 125301. DOI : 10.1063/1.4914520.

2014

Long-wavelength instability of coherent structures in plane Couette flow

K. Melnikov; T. Kreilos; B. Eckhardt 

Physical Review E. 2014. Vol. 89, num. 4, p. 043008. DOI : 10.1103/PhysRevE.89.043008.

Turbulence Transition in Shear Flows and Dynamical Systems Theory

T. Kreilos 

2014.

Studying edge geometry in transiently turbulent shear flows

M. Chantry; T. M. Schneider 

Journal of Fluid Mechanics. 2014. Vol. 747, p. 506 – 517. DOI : 10.1017/jfm.2014.150.

Increasing Lifetimes and the Growing Saddles of Shear Flow Turbulence

T. Kreilos; B. Eckhardt; T. M. Schneider 

Physical Review Letters. 2014. Vol. 112, num. 4, p. 044503. DOI : 10.1103/PhysRevLett.112.044503.

Comoving frames and symmetry-related motions in parallel shear flows

T. Kreilos; S. Zammert; B. Eckhardt 

Journal of Fluid Mechanics. 2014. Vol. 751, p. 685 – 697. DOI : 10.1017/jfm.2014.305.

Turbulent-laminar patterns in plane Poiseuille flow

L. S. Tuckerman; T. Kreilos; H. Schrobsdorff; T. M. Schneider; J. F. Gibson 

Physics Of Fluids. 2014. Vol. 26, num. 11, p. 114103. DOI : 10.1063/1.4900874.

Secondary instability and tertiary states in rotating plane Couette flow

C. A. Daly; T. M. Schneider; P. Schlatter; N. Peake 

Journal of Fluid Mechanics. 2014. Vol. 761, p. 27 – 61. DOI : 10.1017/jfm.2014.609.

Complexity of localised coherent structures in a boundary-layer flow

T. Khapko; Y. Duguet; T. Kreilos; P. Schlatter; B. Eckhardt et al. 

The European Physical Journal E. 2014. Vol. 37, num. 4, p. 32. DOI : 10.1140/epje/i2014-14032-3.

2013

Localized edge states in the asymptotic suction boundary layer

T. Khapko; T. Kreilos; P. Schlatter; Y. Duguet; B. Eckhardt et al. 

Journal of Fluid Mechanics. 2013. Vol. 717, p. R6. DOI : 10.1017/jfm.2013.20.

Turbulente Muster

T. M. Schneider 

Yearb. Max Planck Soc.. 2013. 

In die richtigen Bahnen lenken – Wie Strömungsfelder komplexe Objekte formen können

T. M. Schneider 

Physik Journal. 2013. Vol. 12, num. 5, p. 31 – 35.

Turbulence Transition in the Asymptotic Suction Boundary Layer

T. Kreilos; T. Khapko; T. M. Schneider; G. Veble; Y. Duguet et al. 

2013. 

Edge states for the turbulence transition in the asymptotic suction boundary layer

T. Kreilos; G. Veble; T. M. Schneider; B. Eckhardt 

Journal of Fluid Mechanics. 2013. Vol. 726, p. 100 – 122. DOI : 10.1017/jfm.2013.212.

2012

Localization in transitional shear flows

T. M. Schneider; J. F. Gibson; J. Burke 

2012. 

Sequencing by Hybridization of Long Targets

Y. Qin; T. M. Schneider; M. P. Brenner 

PLoS One. 2012. Vol. 7, num. 5, p. e35819. DOI : 10.1371/journal.pone.0035819.

Turbulenz und Chaos

T. M. Schneider 

Welt der Phys.. 2012. 

Periodic orbits near onset of chaos in plane Couette flow

T. Kreilos; B. Eckhardt 

Chaos: An Interdisciplinary Journal of Nonlinear Science. 2012. Vol. 22, num. 4, p. 047505. DOI : 10.1063/1.4757227.

2011

Algorithm for a Microfluidic Assembly Line

T. M. Schneider; S. Mandre; M. P. Brenner 

Physical Review Letters. 2011. Vol. 106, num. 9, p. 094503. DOI : 10.1103/PhysRevLett.106.094503.

2010

Localized edge states for the transition to turbulence in shear flows

D. Marinc; T. M. Schneider; B. Eckhardt 

Seventh IUTAM Symposium on Laminar-Turbulent Transition; Berlin: Springer, 2010. p. 253 – 258.

Turbulenz bändigen

B. Hof; T. M. Schneider 

Phys. unserer Zeit. 2010. Vol. 41, num. 4, p. 163 – 164. DOI : 10.1002/piuz.201090040.

Folded Edge of Turbulence in a Pipe

Y. Tasaka; T. M. Schneider; T. Mullin 

Physical Review Letters. 2010. Vol. 105, num. 17, p. 174502. DOI : 10.1103/PhysRevLett.105.174502.

Localized edge states nucleate turbulence in extended plane {Couette} cells

T. M. Schneider; D. Marinc; B. Eckhardt 

Journal of Fluid Mechanics. 2010. Vol. 646, p. 441. DOI : 10.1017/S0022112009993144.

Eliminating Turbulence in Spatially Intermittent Flows

B. Hof; A. de Lozar; M. Avila; X. Tu; T. M. Schneider 

Science. 2010. Vol. 327, num. 5972, p. 1491 – 1494. DOI : 10.1126/science.1186091.

On the measured current in electrospinning

P. K. Bhattacharjee; T. M. Schneider; M. P. Brenner; G. H. McKinley; G. C. Rutledge 

Journal of Applied Physics. 2010. Vol. 107, num. 4, p. 044306. DOI : 10.1063/1.3277018.

Transient turbulence in plane Couette flow

T. M. Schneider; F. De Lillo; J. Buehrle; B. Eckhardt; T. Dörnemann et al. 

Physical Review E. 2010. Vol. 81, p. 015301(R). DOI : 10.1103/PhysRevE.81.015301.

Snakes and Ladders: Localized Solutions of Plane Couette Flow

T. M. Schneider; J. F. Gibson; J. Burke 

Physical Review Letters. 2010. Vol. 104, num. 10, p. 104501. DOI : 10.1103/PhysRevLett.104.104501.

2009

Localization in plane Couette edge dynamics

T. M. Schneider; D. Marinc; B. Eckhardt 

Advances in Turbulence XII; 2009. p. 83 – 84.

Transition in Localized Pipe Flow Turbulence

F. Mellibovsky; A. Meseguer; T. M. Schneider; B. Eckhardt 

Physical Review Letters. 2009. Vol. 103, num. 5, p. 054502. DOI : 10.1103/PhysRevLett.103.054502.

Large-scale transitional dynamics in pipe flow

F. Mellibovsky; A. Meseguer; T. M. Schneider; B. Eckhardt 

Advances in Turbulence XII; 2009. p. 137 – 140.

Edge of chaos and the turbulence transition in linearly stable shear flows

T. M. Schneider 

EUROMECH Newsl. 35. 2009. 

Edge states intermediate between laminar and turbulent dynamics in pipe flow

T. M. Schneider; B. Eckhardt 

Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 2009. Vol. 367, num. 1888, p. 577 – 587. DOI : 10.1098/rsta.2008.0216.

Basin boundary, edge of chaos and edge state in a two-dimensional model

J. Vollmer; T. M. Schneider; B. Eckhardt 

New Journal of Physics. 2009. Vol. 11, p. 013040. DOI : 10.1088/1367-2630/11/1/013040.

2008

How does flow in a pipe become turbulent?

B. Eckhardt; T. M. Schneider 

The European Physical Journal B. 2008. Vol. 64, p. 457 – 462. DOI : 10.1140/epjb/e2008-00140-y.

Laminar-turbulent boundary in plane Couette flow

T. M. Schneider; J. F. Gibson; M. Lagha; F. De Lillo; B. Eckhardt 

Physical Review E. 2008. Vol. 78, num. 3, p. 037301. DOI : 10.1103/PhysRevE.78.037301.

Method and apparatus for controlling friction between a fluid and a body

A. Kornblit; T. N. Kroupenkine; M. L. Mandich; T. M. Schneider; J. A. Taylor et al. 

US7455021; US2008236473.

2008.

Dynamical systems and the transition to turbulence in linearly stable shear flows

B. Eckhardt; H. Faisst; A. Schmiegel; T. M. Schneider 

Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences. 2008. Vol. 366, p. 1297 – 1315. DOI : 10.1098/rsta.2007.2132.

A Hybrid Peer-to-Peer and Grid Job Scheduling System for Teaming Up Desktop Resources with Computer Clusters to Perform Turbulence Simulations

K. Dörnemann; T. Dörnemann; B. Freisleben; T. M. Schneider; B. Eckhardt 

2008.  p. 418 – 419. DOI : 10.1109/eScience.2008.98.

Lifetime statistics in transitional pipe flow

T. M. Schneider; B. Eckhardt 

Physical Review E. 2008. Vol. 78, p. 46310. DOI : 10.1103/PhysRevE.78.046310.

2007

State Space Properties of Transitional Pipe Flow

T. M. Schneider 

2007.

Method and apparatus for controlling friction between a fluid and a body

A. Kornblit; T. N. Kroupenkine; M. L. Mandich; T. M. Schneider; J. A. Taylor et al. 

US7156032; US2005039661.

2007.

Comment on ‘Critical behaviour in the relaminarization of localized turbulence in pipe flow’

B. Hof; J. Westerweel; T. M. Schneider; B. Eckhardt 

ArXiv. 2007. 

Turbulence transition and the edge of chaos in pipe flow

T. M. Schneider; B. Eckhardt; J. A. Yorke 

Physical Review Letters. 2007. Vol. 99, p. 34502. DOI : 10.1103/PhysRevLett.99.034502.

Dynamics at the Edge of Chaos in Pipe Flow

T. M. Schneider; B. Eckhardt 

Adv. Turbul. XI; Springer Berlin Heidelberg, 2007. p. 559 – 561.