@phdthesis{Rasin, author = {Rasin, Igor}, title = {Numerical simulation of microstructure of the GeSi alloy}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus-474}, language = {en} } @article{BestehornPerezGarcia, author = {Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C.}, title = {Coexistence of Patterns with Different Symmetries in B{\´e}nard-Marangoni Convection}, language = {en} } @article{ThessBestehorn, author = {Thess, A. and Bestehorn, Michael}, title = {Planform Selection in B{\´e}nard-Marangoni-Convection: l-hexagons versus g-hexagons}, language = {en} } @inproceedings{VaerenberghLegrosColinetetal., author = {Vaerenbergh, S. van and Legros, J. C. and Colinet, P. and Velarde, M. G. and Bestehorn, Michael and Lebon, G. and Thess, A. and Karcher, C.}, title = {Processes With Double Diffusive Instabilities Studied in Microgravity}, series = {The 2nd European Symposium on Utilisation of the International Space Station, 16 - 18 November 1998, ESTEC, Noordwijk, The Netherlands}, booktitle = {The 2nd European Symposium on Utilisation of the International Space Station, 16 - 18 November 1998, ESTEC, Noordwijk, The Netherlands}, publisher = {ESA Publ.}, address = {Noordwijk}, isbn = {92-9092-732-1}, pages = {241 -- 248}, language = {en} } @incollection{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Pattern Formation and Transients in the Convection Instability}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Stationary and Traveling Pulses of the 2D Complex Ginzburg-Landau Equation}, language = {en} } @article{BestehornFantzFriedrichetal., author = {Bestehorn, Michael and Fantz, M. and Friedrich, R. and Haken, H. and P{\´e}rez-Garc{\´i}a, C.}, title = {Spiral Patterns in Thermal Convection}, language = {en} } @article{BestehornFantzFriedrichetal., author = {Bestehorn, Michael and Fantz, M. and Friedrich, R. and Haken, H.}, title = {Pattern formation in rotating B{\´e}nard convection}, language = {en} } @article{ColinetJoannesIorioetal., author = {Colinet, P. and Joannes, L. and Iorio, C. S. and Haut, B. and Bestehorn, Michael and Lebon, G. and Legros, J. C.}, title = {Interfacial turbulence in evaporating liquids: Theory and preliminary results of the ITEL-Master 9 sounding rocket experiment}, language = {en} } @article{BestehornFantzFriedrichetal., author = {Bestehorn, Michael and Fantz, M. and Friedrich, R. and Haken, H.}, title = {Hexagonal and Spiral Patterns of Thermal Convection}, language = {en} } @article{BestehornNeufeldFriedrichetal., author = {Bestehorn, Michael and Neufeld, M. and Friedrich, R. and Haken, H.}, title = {Pattern formation in rotating B{\´e}nard convection}, language = {en} } @article{HerreroPerezGarciaBestehorn, author = {Herrero, H. and P{\´e}rez-Garc{\´i}a, C. and Bestehorn, Michael}, title = {Stability of fronts separating domains with different symmetries in hydrodynamical instabilities}, language = {en} } @incollection{BestehornFriedrich, author = {Bestehorn, Michael and Friedrich, R.}, title = {Natural Patterns in Nonequilibrium Systems, in A Perspective Look at Nonlinear Media - From Physics to Biology and Social Sciences}, language = {en} } @article{BorciaMerktBestehorn, author = {Borcia, Rodica and Merkt, Domnic and Bestehorn, Michael}, title = {Convective patterns in liquid-vaporsystems with diffuse interface}, language = {en} } @article{BestehornGrigorieva, author = {Bestehorn, Michael and Grigorieva, E. V.}, title = {Formation and Propagation of Localized States in Extended Systems}, language = {en} } @article{BestehornPerezGarcia, author = {Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C.}, title = {Modulated Rolls and Traveling Waves in a Secondary Convective Instability}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Numerical Results of 3D-Convection in a Binary Mixture for a Positive Separation Ratio}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Phase and Amplitude Instabilities for B{\´e}nard-Marangoni Convection in Fluid Layers with Large Aspect Ratio}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Pattern Selection in B{\´e}nard-Marangoni Convection}, language = {en} } @article{MillanRodriguezBestehornPerezGarciaetal., author = {Mill{\´a}n-Rodriguez, J. and Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C. and Friedrich, R. and Neufeld, M.}, title = {Defects Motion in Rotating Fluids}, language = {en} } @misc{Bestehorn, author = {Bestehorn, Michael}, title = {Square Patterns in B{\´e}nard-Marangoni Convection}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Two Layer Model Showing a Variety of Pattern Types near Nonequilibrium Phase Transitions}, language = {en} } @article{BorciaBorciaBestehorn, author = {Borcia, Rodica and Borcia, Ion-Dan and Bestehorn, Michael}, title = {Liquid layers on a patterned surface}, series = {Soft Matter}, volume = {4}, journal = {Soft Matter}, number = {12}, pages = {2368 -- 2372}, language = {en} } @misc{VarlamovaCostacheReifetal., author = {Varlamova, Olga and Costache, Florenta Adriana and Reif, J{\"u}rgen and Bestehorn, Michael}, title = {Self-organized pattern formation upon femtosecond laser ablation by circularly polarized light}, series = {Applied Surface Science}, volume = {252}, journal = {Applied Surface Science}, number = {13}, issn = {0169-4332}, pages = {4702 -- 4706}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Transient Patterns of the Convection Instability: A Model Calculation}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {The Oscillatory Instability of a Spatially Homogeneous State in Large Aspect Systems of Fluid Dynamics}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Two-dimensional Traveling Wave Patterns in Nonequilibrium Systems}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Traveling Waves in Nonequilibrium Systems}, language = {en} } @article{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Modulated Traveling Waves in Nonequilibrium Systems: The Blinking State}, language = {en} } @misc{PototskyArcherBestehornetal., author = {Pototsky, Andrey and Archer, Andrew J. and Bestehorn, Michael and Merkt, Domnic and Savelev, S. and Marchesoni, F.}, title = {Collective shuttling of attracting particles in asymmetric narrow channels}, language = {en} } @article{FriedrichBestehornHaken, author = {Friedrich, R. and Bestehorn, Michael and Haken, H.}, title = {Pattern Formation in Convective Instabilities}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Traveling Waves and Pulses in a Two-Dimensional Large-Aspect-Ratio System}, series = {Physical Review A}, volume = {42}, journal = {Physical Review A}, number = {12}, issn = {0556-2791}, pages = {7195 -- 7203}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {Associative Memory of a Dynamical System: The Example of the Convection Instability}, series = {Zeitschrift f{\"u}r Physik B}, volume = {82}, journal = {Zeitschrift f{\"u}r Physik B}, number = {2}, issn = {1431-584}, pages = {305 -- 308}, language = {en} } @article{BestehornPerezGarcia, author = {Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C.}, title = {Study of a Model of Thermal Convection in Cylindrical Containers}, language = {en} } @article{MillanRodriguezBestehornPerezGarciaetal., author = {Mill{\´a}n-Rodriguez, J. and Bestehorn, Michael and P{\´e}rez-Garc{\´i}a, C. and Neufeld, M. and Friedrich, R.}, title = {Motion of Defects in Rotating Fluids}, language = {en} } @article{BestehornNeufeldFriedrichetal., author = {Bestehorn, Michael and Neufeld, M. and Friedrich, R. and Haken, H.}, title = {Comment on Spiral pattern formation in Rayleigh-B{\´e}nard Convection}, language = {en} } @article{BestehornMerkt, author = {Bestehorn, Michael and Merkt, Domnic}, title = {Regular surface patterns on Rayleigh-Taylor unstable evaporating films heated from below}, language = {en} } @misc{BestehornBorcia, author = {Bestehorn, Michael and Borcia, Ion-Dan}, title = {Thin film lubrication dynamics of a binarymixture}, language = {en} } @article{Enculescu, author = {Enculescu, Mihaela}, title = {A note on traveling fronts and pulses in a firing rate model of a neuronal network}, language = {en} } @article{EnculescuBestehorn, author = {Enculescu, Mihaela and Bestehorn, Michael}, title = {Liapunov functional for a delayedintegro-differential equation model of a neural field}, language = {en} } @article{PenaBestehorn, author = {Pena, B. and Bestehorn, Michael}, title = {Two-dimensional wave patterns near a Hopf-wave interaction in a chemical model}, language = {en} } @misc{ReifVarlamovaVarlamovetal., author = {Reif, J{\"u}rgen and Varlamova, Olga and Varlamov, Sergej and Bestehorn, Michael}, title = {The role of asymmetric excitation in self-organized nanostructure formation upon femtosecond laser ablation}, series = {Applied Physics / A}, volume = {104}, journal = {Applied Physics / A}, number = {3}, issn = {1432-0630}, pages = {969 -- 973}, language = {en} } @misc{BorciaMenzelBestehornetal., author = {Borcia, Rodica and Menzel, Stefan and Bestehorn, Michael and Karpitschka, Stefan and Riegler, Horst}, title = {Delayed coalescence of droplets with miscible liquids: Lubrication and phasefield theories}, series = {European Physical Journal E}, volume = {34}, journal = {European Physical Journal E}, number = {3}, issn = {1292-8941}, pages = {11024-9}, language = {en} } @article{EnculescuBestehorn, author = {Enculescu, Mihaela and Bestehorn, Michael}, title = {Mechanisms for activity spread in a neural field model}, language = {en} } @article{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Phase field models for Marangoni convection in planar layers}, language = {en} } @phdthesis{Enculescu, author = {Enculescu, Mihaela}, title = {Wellenausbreitung in neuralen Feldern mit retardierten Wechselwirkung}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-opus-438}, language = {de} } @article{PenaPerezGarciaBestehorn, author = {Pena, B. and P{\´e}rez-Garc{\´i}a, C. and Bestehorn, Michael}, title = {Modulated standing waves resulting from a Hopf-wave interaction in a chemical model}, language = {en} } @article{BorciaMerktBestehorn, author = {Borcia, Rodica and Merkt, Domnic and Bestehorn, Michael}, title = {A phase-field description of surface-tension-driven instability}, language = {en} } @article{BestehornGrigorievaKaschenko, author = {Bestehorn, Michael and Grigorieva, E. V. and Kaschenko, S. A.}, title = {Spatio-Temporal Structures in a Model With Delay And Diffusion}, language = {en} } @article{ThieleBruschBestehornetal., author = {Thiele, Uwe and Brusch, L. and Bestehorn, Michael and B{\"a}r, Marcus}, title = {Modelling thin-film dewetting on structured substrates and templates}, language = {en} } @article{ThieleNeufferBestehornetal., author = {Thiele, Uwe and Neuffer, Kai and Bestehorn, Michael and Pomeau, Y. and Velarde, M. G.}, title = {Sliding drops on an inclined plane}, series = {Colloids and Surfaces A}, volume = {206}, journal = {Colloids and Surfaces A}, number = {1-3}, pages = {87 -- 104}, language = {en} } @article{MerktBestehorn, author = {Merkt, Domnic and Bestehorn, Michael}, title = {B{\´e}nard-Marangoni convection in a stronglyevaporating fluid}, language = {en} } @article{EnculescuBestehorn, author = {Enculescu, Mihaela and Bestehorn, Michael}, title = {Activity dynamics in non - localinteracting neural fields}, language = {en} } @article{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Phase-field model for Marangoni convection in liquid-gas systems with deformable interface}, language = {en} } @article{HuttBestehornWennekers, author = {Hutt, A. and Bestehorn, Michael and Wennekers, T.}, title = {Pattern Formation in Intracortical Neuronal Fields}, language = {en} } @article{BestehornNeuffer, author = {Bestehorn, Michael and Neuffer, Kai}, title = {Surface Patterns of Laterally Extended Thin Liquid Films in Three Dimensions}, series = {Physical review letters}, volume = {87}, journal = {Physical review letters}, number = {4}, issn = {1079-7114}, pages = {046101}, language = {en} } @article{ThieleVelardeNeufferetal., author = {Thiele, Uwe and Velarde, M. G. and Neuffer, Kai and Bestehorn, Michael and Pomeau, Y.}, title = {Sliding drops in the diffusive interface model coupled to hydrodynamics}, series = {Physical Review E}, volume = {64}, journal = {Physical Review E}, number = {4}, issn = {1550-2376}, pages = {061601}, language = {en} } @article{BorciaBorciaBestehorn, author = {Borcia, Rodica and Borcia, Ion-Dan and Bestehorn, Michael}, title = {Drops on an arbitrarily wetting substrate: A phase field description}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Numerical simulations on delayed coalescence of droplets in confinedgeometries}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Ion-Dan and Bestehorn, Michael}, title = {Simulation of pattern morphology in binary liquid mixtures}, language = {en} } @misc{TyvandBestehorn, author = {Tyvand, Peder A. and Bestehorn, Michael}, title = {Diffraction of Poincare waves by a change in ocean depth}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Controlled Pattern Formation in Thin Liquid Layers}, language = {en} } @misc{BestehornTyvand, author = {Bestehorn, Michael and Tyvand, Peder A.}, title = {Merging and colliding bores}, language = {en} } @article{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Phase field models and Marangoni flows}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {A Phase Field Description of Spatio-Temporal Behavior in Thin Liquid Layers}, language = {en} } @article{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Phase field simulations for drops and bubbles}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Convection in thick and thin fluid layers with a free surface - The Influence of Evaporation}, language = {en} } @article{BestehornHaken, author = {Bestehorn, Michael and Haken, H.}, title = {A Calculation of Transient Solutions Describing Roll and Hexagon Formation in the Convection Instability}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {On the coalescence of sessile drops with miscible liquids}, series = {European Physical Journal E}, volume = {34}, journal = {European Physical Journal E}, number = {8}, issn = {1292-8941}, pages = {81}, language = {en} } @misc{VarlamovaReifVarlamovetal., author = {Varlamova, Olga and Reif, J{\"u}rgen and Varlamov, Sergej and Bestehorn, Michael}, title = {The laser polarization as control parameter in the formation of laser-induced periodic surface structures: Comparison of numerical and experimental results}, series = {Applied Surface Science}, volume = {257}, journal = {Applied Surface Science}, number = {12}, issn = {0169-4332}, pages = {5465 -- 5469}, language = {en} } @misc{VarlamovaReifVarlamovetal., author = {Varlamova, Olga and Reif, J{\"u}rgen and Varlamov, Sergej and Bestehorn, Michael}, title = {Modeling of the Laser Polarization as Control Parameter in Self-Organized Surface Pattern}, series = {Journal of Nanoscience and Nanotechnology}, volume = {11}, journal = {Journal of Nanoscience and Nanotechnology}, number = {10}, issn = {1533-4880}, pages = {9274 -- 9281}, language = {en} } @misc{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Different behaviours of delayed fusion between drops with miscible liquids}, series = {Physical review E}, volume = {82}, journal = {Physical review E}, number = {3}, issn = {1063-651X}, pages = {036312}, language = {en} } @article{BorciaBorciaBestehorn, author = {Borcia, Ion-Dan and Borcia, Rodica and Bestehorn, Michael}, title = {Long wave instabilities in binary mixture thin liquid films}, language = {en} } @article{BorciaBorciaBestehorn, author = {Borcia, Ion-Dan and Borcia, Rodica and Bestehorn, Michael}, title = {Soret effect in thin liquid films:Localized running drops, holes and stripes}, language = {en} } @article{BestehornMerktEnculescu, author = {Bestehorn, Michael and Merkt, Domnic and Enculescu, Mihaela}, title = {Entstehung und Dynamik makroskopischer Strukturen in Systemen fern vom Gleichgewicht}, series = {Forum der Forschung}, volume = {9}, journal = {Forum der Forschung}, number = {18}, issn = {0947-6989}, pages = {31 -- 40}, language = {de} } @phdthesis{Neuffer, author = {Neuffer, Kai}, title = {Das Diffuse-Grenzfl{\"a}chen-Modell - L{\"o}cher und Tropfen eines d{\"u}nnen Fl{\"u}ssigkeitsfilms}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-000000504}, language = {de} } @phdthesis{Mueller, author = {M{\"u}ller, Horst}, title = {Ordnungsreduktion geometriebasierter Differentialgleichungssysteme unter Ber{\"u}cksichtigung schwacher Nichtlinearit{\"a}ten}, url = {http://nbn-resolving.de/urn:nbn:de:kobv:co1-000000955}, language = {de} } @article{BorciaBestehorn, author = {Borcia, Rodica and Bestehorn, Michael}, title = {Phase-field simulations for evaporation with convection in liquid-vapor systems}, series = {The European physical journal B}, volume = {44}, journal = {The European physical journal B}, number = {1}, issn = {1434-6028}, pages = {101 -- 108}, language = {en} } @article{NitschkeBestehornThess, author = {Nitschke, K. and Bestehorn, Michael and Thess, A.}, title = {Square Cells in Surface-Tension-Driven B{\´e}nard Convection}, language = {en} } @article{BestehornColinet, author = {Bestehorn, Michael and Colinet, P.}, title = {B{\´e}nard-Marangoni convection of a binary mixture as an example of an oscillatory bifurcation under strong symmetry-breaking effects}, series = {Physica D: Nonlinear Phenomena}, volume = {145}, journal = {Physica D: Nonlinear Phenomena}, number = {1-2}, issn = {1872-8022}, pages = {84 -- 109}, language = {en} } @article{PerezGarciaEchebarriaBestehorn, author = {P{\´e}rez-Garc{\´i}a, C. and Echebarria, B. and Bestehorn, Michael}, title = {Thermal Properties in Surface-Tension-Driven Convection}, language = {en} } @article{BestehornFriedrich, author = {Bestehorn, Michael and Friedrich, R.}, title = {Rotationally invariant order parameter equations for natural patterns in nonequilibrium systems}, language = {en} } @article{BestehornGrigorievaHakenetal., author = {Bestehorn, Michael and Grigorieva, E. V. and Haken, H. and Kaschenko, S. A.}, title = {Order Parameters for Class-B Lasers With a Long Time Delayed Feedback}, language = {en} } @article{Bestehorn, author = {Bestehorn, Michael}, title = {Numerical Results of 3D Stationary Convection in a Binary Mixture}, language = {en} } @article{MillanRodriguezPerezGarciaBestehornetal., author = {Mill{\´a}n-Rodriguez, J. and P{\´e}rez-Garc{\´i}a, C. and Bestehorn, Michael and Fantz, M. and Friedrich, R.}, title = {Pattern Formation in Convection of Rotating Fluids with Broken Vertical Symmetry}, language = {en} } @incollection{BestehornFriedrichHaken, author = {Bestehorn, Michael and Friedrich, R. and Haken, H.}, title = {Modulated Traveling Waves in Nonequilibrium Systems}, language = {en} } @article{BestehornPototskyThiele, author = {Bestehorn, Michael and Pototsky, Andrey and Thiele, Uwe}, title = {3D Large scale Marangoni convection in liquid films}, language = {en} } @article{MerktPototskyBestehornetal., author = {Merkt, Domnic and Pototsky, Andrey and Bestehorn, Michael and Thiele, Uwe}, title = {Long-wave theory of bounded two-layer films with a free liquid-liquid interface: Short and long-time evolution}, doi = {10.1063/1.1935487}, language = {en} } @article{PototskyBestehornMerktetal., author = {Pototsky, Andrey and Bestehorn, Michael and Merkt, Domnic and Thiele, Uwe}, title = {Alternative pathways of dewetting for a thin two-layer film of soft matter}, doi = {10.48550/arXiv.nlin/0401042}, language = {en} } @article{PototskyBestehornMerktetal., author = {Pototsky, Andrey and Bestehorn, Michael and Merkt, Domnic and Thiele, Uwe}, title = {Evolution of interface patterns of three-dimensional two-layer liquid films}, series = {Europhysics Letters}, volume = {74}, journal = {Europhysics Letters}, number = {4}, issn = {0302-072X}, doi = {10.1209/epl/i2006-10026-8}, pages = {665 -- 671}, language = {en} } @article{PototskyBestehornThiele, author = {Pototsky, Andrey and Bestehorn, Michael and Thiele, Uwe}, title = {Control of the structuring of thin softmatter films by means of different types of external disturbance}, language = {en} }