Computing Simple Invariant Solutions in Chaotic Fluid Flows

O. Ashtari; L. S. Tuckerman; T. M. Schneider 

Bifurcation structure of soliton self-injection locking in microresonators

S. Deshmukh; T. M. Schneider; A. Tikan 

Local and global bifurcations to large-scale oblique patterns in inclined layer convection

Z. Zheng; S. Azimi; F. Reetz; T. M. Schneider 

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 

Solvent-coupled deformation in polymers near free surfaces

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

At the breaking point: Three-dimensional fracture in soft brittle solids

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 

Periodic orbits underlying spatiotemporal chaos in the Lugiato-Lefever model

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

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. 

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

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

Data-driven Guessing and Gluing of Unstable Periodic Orbits

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

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

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

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

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

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

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

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

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

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

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 

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 

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

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

O. Ashtari; T. M. Schneider 

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

M. Engel; O. Ashtari; M. Linkmann 

Predicting chaotic statistics with unstable invariant tori

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

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

O. Ashtari; T. M. Schneider 

Invariant tori in dissipative hyperchaos

J. P. P. Parker; T. M. M. Schneider 

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

J. P. Parker; T. M. Schneider 

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

S. Azimi; O. Ashtari; T. Schneider 

Exploiting Marginal Stability in Slow-Fast Quasilinear Dynamical Systems

Non-destructive Prediction of the Buckling Load of Cylindrical Shells

Periodic orbits exhibit oblique stripe patterns in plane Couette flow

F. Reetz; T. M. Schneider 

A study of the double pendulum using polynomial optimization

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

Optimal perturbation growth on a breaking internal gravity wave

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

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

J. M. Kolinski; T. M. Schneider 

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 

Modified snaking in plane Couette flow with wall-normal suction

S. Azimi; T. Schneider 

Nondestructive Prediction of the Buckling Load of Imperfect Shells

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

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

F. Reetz; T. M. Schneider 

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

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

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

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

Buckling instabilities and spatio-temporal dynamics of active elastic filaments

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

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

S. Azimi; T. M. Schneider 

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

Koopman Analysis of Isolated Fronts and Solitons

J. P. Parker; J. Page 

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

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

Rational design of a high-throughput droplet sorter

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

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

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

Jumping dynamics of aquatic animals

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

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

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 

Computing heteroclinic orbits using adjoint-based methods

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

High-throughput multiplexed fluorescence-activated droplet sorting

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

On Establishing Buckling Knockdowns for Imperfection-Sensitive Shell Structures

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

Edge states control droplet breakup in subcritical extensional flows

G. Gallino; T. Schneider; F. Gallaire 

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

Stability Landscape of Shell Buckling

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

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

T. Kreilos; T. M. Schneider 

Localized travelling waves in the asymptotic suction boundary layer

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

Spatio-temporal patterns in inclined layer convection

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

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

J. F. Gibson; T. M. Schneider 

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. 

Elastocapillary coalescence of plates and pillars

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

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

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

Infinite geometric frustration in a cubic dipole cluster

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

Studying edge geometry in transiently turbulent shear flows

M. Chantry; T. M. Schneider 

Secondary instability and tertiary states in rotating plane Couette flow

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

Turbulence Transition in Shear Flows and Dynamical Systems Theory

T. Kreilos 

Complexity of localised coherent structures in a boundary-layer flow

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

Turbulent-laminar patterns in plane Poiseuille flow

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

Comoving frames and symmetry-related motions in parallel shear flows

T. Kreilos; S. Zammert; B. Eckhardt 

Long-wavelength instability of coherent structures in plane Couette flow

K. Melnikov; T. Kreilos; B. Eckhardt 

Increasing Lifetimes and the Growing Saddles of Shear Flow Turbulence

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

Localized edge states in the asymptotic suction boundary layer

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

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

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

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

T. M. Schneider 

Turbulence Transition in the Asymptotic Suction Boundary Layer

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

Turbulente Muster

T. M. Schneider 

Sequencing by Hybridization of Long Targets

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

Turbulenz und Chaos

T. M. Schneider 

Localization in transitional shear flows

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

Periodic orbits near onset of chaos in plane Couette flow

T. Kreilos; B. Eckhardt 

Algorithm for a Microfluidic Assembly Line

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

On the measured current in electrospinning

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

Turbulenz bändigen

B. Hof; T. M. Schneider 

Localized edge states for the transition to turbulence in shear flows

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

Eliminating Turbulence in Spatially Intermittent Flows

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

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

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

Folded Edge of Turbulence in a Pipe

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

Snakes and Ladders: Localized Solutions of Plane Couette Flow

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

Transient turbulence in plane Couette flow

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

Localization in plane Couette edge dynamics

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

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

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

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

T. M. Schneider 

Large-scale transitional dynamics in pipe flow

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

Transition in Localized Pipe Flow Turbulence

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

Edge states intermediate between laminar and turbulent dynamics in pipe flow

T. M. Schneider; B. Eckhardt 

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 

How does flow in a pipe become turbulent?

B. Eckhardt; T. M. Schneider 

Laminar-turbulent boundary in plane Couette flow

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

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

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

Lifetime statistics in transitional pipe flow

T. M. Schneider; B. Eckhardt